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Books

  1. D.M. Herlach, P.K. Galenko, D. Holland-Moritz, Metastable solids from undercooled melts. Amsterdam: Elsevier, 2006, 448 pp.
  2. P.K. Galenko, V.A. Zhuravlev, Physics of Dendrites: Computational Experiments. World Scientific, Singapore, 1994, 212 pp.
  3. P. Galenko, V. Ankudinov, and I. Starodumov, Phase Field Crystals: Fast Interface Dynamics. 2018, 123 pp.

Articles

    2020

  1. V. Ankudinov, K. R. Elder, and P. K. Galenko, “Traveling waves of the solidification and melting of cubic crystal lattices,” Phys. Rev. E, vol. 102, no. 6, p. 062802, Dec. 2020, doi: 10.1103/PhysRevE.102.062802.
  2. V. Ankudinov, I. Starodumov, N. P. Kryuchkov, E. V. Yakovlev, S. O. Yurchenko, and P. K. Galenko, “Correlated noise effect on the structure formation in the phase-field crystal model,” in Mathematical Methods in the Applied Sciences, 2020, p. mma.6887, doi: 10.1002/mma.6887.
  3. G. A. Gordeev, V. Ankudinov, E. V. Kharanzhevskiy, and M. D. Krivilyov, “Numerical simulation of selective laser melting with local powder shrinkage using FEM with the refined mesh,” Eur. Phys. J. Spec. Top., vol. 229, no. 2–3, pp. 205–216, Feb. 2020, doi: 10.1140/epjst/e2019-900100-6.
  4. L. V. Toropova, D. V. Alexandrov M. Rettenmayr, P.K. Galenko, A selection criterion for n-fold symmetry of dendrite growth in the presence of convective flow, Journal of Crystal Growth 535 (2020) 125540-1-4; https://doi.org/10.1016/j.jcrysgro.2020.125540     
  5. P.K.Galenko, M.D. Krivilyov, E.V. Kharanzhevskiy, Preface to special issue «Crystallization: Computer Models and Experiment», Journal of Crystal Growth Volume 540 (2020) 125655; https://doi.org/10.1016/j.jcrysgro.2020.125655
  6. V. Ankudinov, P.K. Galenko, Growth of different faces in a body centered cubic lattice: a case of the phase-field-crystal modeling. J. Crystal Growth 539 (2020) 125608-1-5. https://doi.org/10.1016/j.jcrysgro.2020.125608       
  7. Subhedar, P.K. Galenko, F. Varnik, Thin interface limit of the double sided phase field model with convection, Philosophical Transactions of Royal Society A 378 (2020) 20190540-1-20; http://dx.doi.org/10.1098/rsta.2019.0540
  8. D.V. Alexandrov, P.K. Galenko, A shape of dendritic tips, Philosophical Transactions of Royal Society A 378 (2020) 20190243-1-17. http://dx.doi.org/10.1098/rsta.2019.0243
  9. L.V. Toropova, D.V. Alexandrov, M. Rettenmayr, P.K. Galenko, The role of intense convective flow on dendrites evolving with n-fold symmetry, J. Crystal Growth 535 (2020) 125540-1-4 https://doi.org/10.1016/j.jcrysgro.2020.125540   
  10. Salhoumi and P.K. Galenko, Fast traveling waves in the phase-field theory: effective mobility approach versus kinetic energy approach, Journal of Physics: Condensed Matter 32 (2020) 204003-1-10 https://doi.org/10.1088/1361-648/ab6ae9
  11. Kao, L.V. Toropova, D.V. Alexandrov, G. Demange, and P.K. Galenko, Modeling of dendrite growth from undercooled nickel melts: sharp interface model versus enthalpy method, Journal of Physics: Condensed Matter 32 (2020) 194002-1-8 doi.org/10.1088/1361-648X/ab6aea
  12. E.V. Kharanzhevskiy, P.K. Galenko, M. Rettenmayr, S. Koch, R. Wonneberger, W. Dreier, D.M. Herlach, M.A.Yagovkina, D.A. Kirilenko, V.A. Bershtein, P.N. Yakushev, L.M. Egorova, V.N. Gurin, M.V. Zamoryanskaya, A.V. Egorov, A.S. Senchenkov, Study of structure, composition, Thermal and mechanical properties of a grlass forming Pd-Ni-Cu-P alloy. European Physical Journal: Special Topics 229 (2020) 157-165; https://doi.org/10.1140/epjst/e2019-900056-3
  13. L. V. Toropova, P.K. Galenko, D. V. Alexandrov, M. Rettenmayr, G. Demange, A. Kao, Effect of crystalline symmetry order on the kinetics of ice dendrite growth. European Physical Journal: Special Topics 229 (2020) 275-286 doi: 10.1140/epjst/e2019-900103-0
  14. Subhedar, P.K. Galenko, F. Varnik, Diffuse interface models of solidification with convection: The choice of a finite interface thickness. European Physical Journal: Special Topics 229 (2020) 447-452;  DOI: 10.1140/epjst/e2019-900099-5
  15. Salhoumi, D.V. Alexandrov and P.K. Galenko, Hodograph-equation for rapid solidification of Si–0.1 at.% As alloy melt. European Physical Journal: Special Topics 229 (2020) 439–445; https://doi.org/10.1140/epjst/e2019-900122-4
  16. G.L. Buchbinder, P.K. Galenko, Boundary interface conditions and solute trapping near the transition to diffusionless solidification, Eur. Phys. J. Special Topics 229 (2020) 287-294; https://doi.org/10.1140/epjst/e2019-900131-3
  17. P.K. Galenko, D.A. Danilov, Morphological stability diagram for slowly and rapidly solidifying binary systems. European Physical Journal: Special Topics 229 (2020) 353-364; DOI: 10.1140/epjst/e2019-900104-6
  18. O.V. Kazak, D.V. Alexandrov, P.K. Galenko, Effect of tiny amount of impurity and convective transport on dendrite growth kinetics, European Physical Journal: Special Topics 229 (2020) 239-251; DOI: 10.1140/epjst/e2019-900143-8
  19. P.K. Galenko, R. Wonneberger, S. Koch, V. Ankudinov, E.H. Kharanzhevskiy, M. Rettenmayr, Bell-shaped “dendrite velocity-undercooling” relationship with an abrupt drop of solidification kinetics in glass forming Cu-Zr(-Ni) melts. J. Crystal Growth 532 (2020) 125411-1-5; DOI: 10.1016/j.jcrysgro.2019.125411 
  20. K. Titova, D.V. Alexandrov, P.K. Galenko, Thermo-solutal growth of a dendritic crystal in the form of an elliptical paraboloid with forced convection, J. Crystal Growth 531 (2020) 125319-1-4; DOI: 10.1016/j.jcrysgro.2019.125319

    2018-2019

  21. D.C. Van Hoesen, G. Lohöfer, M.E. Sellers, C.E. Pueblo, S. Koch, P.K. Galenko, A.K. Gangopadhyay, K.F. Kelton, Resistivity saturation in metallic liquids above a dynamical crossover temperature observed in measurements aboard the International Space Station, Physical Review Letters 123, 226601-5 (2019) DOI: 10.1103/PhysRevLett.123.226601
  22. D. Herlach, S. Burggraf, M. Reinartz, P.K. Galenko, M. Rettenmayr, Ch.-A. Gandin, H. Henein, A. Mullis, A. Ilbagi, J. Valloton, Dendrite growth in undercooled Al-rich Al-Ni melts measured on Earth and in Space, Physical Review Materials 3 (2019) 073402-1-7; DOI: 10.1103/PhysRevMaterials.3.073402
  23. P.K. Galenko and D. Jou, Rapid solidification as non-ergodic phenomenon, Physics Reports 818 (2019) 1-70 doi:  10.1016/j.physrep.2019.06.002
  24. E. Titova, P.K. Galenko, D.V. Alexandrov, Method of evaluation for the non-stationary period of primary dendritic crystallization, Journal of Physics and Chemistry of Solids 134 (2019) 176-181  DOI: 10.1016/j.jpcs.2019.06.002
  25. P.K. Galenko, A. Salhoumi, V. Ankudinov, Kinetics of rapid crystal growth: phase field theory versus atomistic simulations, IOP Conf. Series: Materials Science and Engineering 529 (2019) 012035-1-6; DOI: 10.1088/1757-899X/529/1/012035
  26. V. Lebedev, P.K Galenko, The Effect of Nonisothermality on the Early Stages of Spinodal Decomposition, Journal of Experimental and Theoretical Physics, 2019, Vol. 129, No. 1, pp. 86–96.  DOI: 10.1134/S1063776119050030
  27. D.V. Alexandrov, E.A. Titova, P.K. Galenko, A shape of dendritic tips at high Péclet numbers, J. Crystal Growth 515 (2019) 44–47. doi: 10.1016/j.jcrysgro.2019.03.008
  28. D.V. Alexandrov, P.K. Galenko, Selection Criterion of Stable Mode of Dendritic Growth with n-fold Symmetry at Arbitrary Peclet Numbers in the Presence of a Forced Convection. Chapter 17 in: S. Gutschmidt et al. (eds.), IUTAM Symposium on Recent Advances in Moving Boundary Problems in Mechanics, IUTAM Bookseries 34, 203-215 pp., https://doi.org/10.1007/978-3-030-13720-5_17 (Springer, Berlin, 2019).
  29. P. K. Galenko, V. Ankudinov, Local non-equilibrium effect on the growth kinetics of crystals, Acta Materialia 168 (2019) 203-209 doi: 10.1016/j.actamat.2019.02.018
  30. P. K. Galenko, V. Ankudinov, K. Reuther, M. Rettenmayr, A. Salhoumi and E.V. Kharanzhevskiy, Thermodynamics of rapid solidification and crystal growth kinetics in glass forming alloys. Philosophical Transactions A 377 (2019) 20180205-1-24. doi: 10.1098/rsta.2018.0205
  31. O.V. Gusakova, P.K. Galenko, V.G. Shepelevich, D.V. Alexandrov, M. Rettenmayr, Diffusionless (chemically partitionless) crystallization and subsequent decomposition of supersaturated solid solutions in Sn-Bi eutectic alloy. Philosophical Transactions A 377 (2019) 20180204-1-15 doi: 10.1098/rsta.2018.0204 
  32. M. Mohr, R. K. Wunderlich, S. Koch, P.K. Galenko, A. K. Gangopadhyay, K. F. Kelton, J.Z. Jiang, H.-J. Fecht, Surface tension and viscosity of Cu50Zr50 measured by the oscillating drop technique on board the International Space Station. Microgravity Science and Technology 31(2), (2019) 177-184; doi: 10.1007/s12217-019-9678-1
  33. M. Krivilyov, D. Aflyatunova; V. Lebedev, P.K Galenko, Phase-field simulation of non-isothermal phase separation in rapidly quenched Co-Cu melts. Computational Materials Science 158 (2019) 289-295. DOI: 10.1016/j.commatsci.2018.11.010
  34. K. Reuther, P.K. Galenko, M. Rettenmayr, Dynamic instability of the steady state of a planar front during non-equilibrium solidification of binary alloys, Journal of Crystal Growth 506 (2019) 55-60. doi:10.1016/j.jcrysgro.2018.10.008
  35. P.K. Galenko, V. Ankudinov and I. Starodumov, Phase-Field Crystals: Fast Interface Dynamics (de Gruyter, Berlin, 2018) ISBN: 978-3-11-058597-1
  36. G.L. Buchbinder, P.K. Galenko, Boundary conditions and heat resistance at the moving solid–liquid interface, Physica A 489 (2018) 149-162   doi: 10.1016/j.physa.2017.08.001
  37. P.K. Galenko, D.V. Alexandrov, From atomistic interfaces to dendritic patterns. Philosophical Transactions A 376 (2018) 20170210-1-9.DOI: 10.1098/rsta.2017.0210
  38. D. Jou, P.K. Galenko, Coarse-graining for fast dynamics of order parameters in the phase-field model. Philosophical Transactions A 376 (2018) 20170203-1-15   DOI:10.1098/rsta.2017.0203
  39. P.K. Galenko, I.G. Nizovtseva, K. Reuther, and M. Rettenmayr, Kinetic transition in the order–disorder transformation at a solid/liquid interface. Philosophical Transactions A 376 (2018) 20170207-1-12    DOI 10.1098/rsta.2017.0207 
  40. I.G. Nizovtseva, P.K. Galenko, Traveling-wave amplitudes as solutions of the phase field crystal equation, Philosophical Transactions A 376 (2018) 20170202-1-15 DOI 10.1098/rsta.2017.0202
  41. D.V. Alexandrov, P.K. Galenko,  L.V. Toropova, Thermo-solutal and kinetic modes of stable dendritic growth with different symmetries of crystalline anisotropy in the presence of convection, Philosophical Transactions A 376 (2018) 20170215-1-30 DOI 10.1098/rsta.2017.0215
  42. P.K. Galenko, D.V. Alexandrov, E.V. Titova, The boundary integral theory for slow and rapid curved solid-liquid interfaces propagating into binary systems, Philosophical Transactions A 376 (2018) 20170218-1-36    DOI 10.1098/rsta.2017.0218
  43. D.V. Alexandrov, P.K. Galenko, Thermo-solutal growth of an anisotropic dendrite with six-fold symmetry, Journal of Physics: Condensed Matter 30(10) (2018) 105702     doi: 10.1088/1361-648X/aaab7b
  44. P.K. Galenko, I. G. Nizovtseva, K. Reuther, and M. Rettenmayr, Kinetics of the Formation of a Disordered Crystal Structure during High-Speed Solidification. Journal of Experimental and Theoretical Physics, Vol. 127, No. 1 (2018) pp. 107–114; doi: 10.1134/S106377611807004X
  45. D. V. Alexandrov, L. V. Toropova, and P.K. Galenko, Thermo-solutal growth of an anisotropic dendrite in the case of convective heat and mass transfer in a binary system. AIP Conference Proceedings 1978, 470065 (2018); doi: 10.1063/1.5044135
  46. L. V. Toropova, D. V. Alexandrov, and P.K. Galenko, Solvability criterion for stable mode of dendritic evolution in the case of convective heat and mass transfer in a binary alloy. AIP Conference Proceedings 1953, 040005 (2018); doi: 10.1063/1.5032625
  47. L. V. Toropova, D. V. Alexandrov, and P. K. Galenko, How the convective heat transport at the solid/liquid phase interface influences the stable mode of dendritic growth. AIP Conference Proceedings 1997(1), 020030 (2018); doi: 10.1063/1.5049024
  48. L. V. Toropova, D. V. Alexandrov, and P. K. Galenko, On the theory of dendritic growth under convective heat and mass transfer in a binary alloy. AIP Conference Proceedings 2034, 020003 (2018); doi: 10.1063/1.5067346
  49. P. K. Galenko, D. V. Alexandrov, L. V. Toropova, M. Rettenmayr and D.M. Herlach, Effect of forced convection on dendritic growth: theoretical modeling and analysis of recent experimental results. In: Solidification and Gravity VII. Edited by: A. Roósz, Zs. Veres, M. Svéda, G. Karacs. (Hungarian Academy of Sciences, University of Miskolc, 2018) pp. 259 – 264. ISBN: 978-963-508-889-8
  50. E.A. Titova, D.V. Aleksandrov, and P.K. Galenko, Boundary Integral Equation Study of the Growth of a Dendritic Elliptic Paraboloid Crystal, Russian Metallurgy (Metally), Vol. 2018, No. 8, pp. 737–741. DOI: 10.1134/S0036029518080165
  51. I. Starodumov, P. Galenko, N. Kropotin, D. Alevandrov, On approximation of a periodic solution of the phase field crystal equation in simulations by the finite elements method (2018) Program Systems: Theory and Applications, 2018, Volume 9, Issue 4, Pages 265–278    doi:10.25209/2079-3316-2018-9-4-265-278

    2017

  52. D.V. Alexandrov, P.K. Galenko, Boundary integral approach for propagating interfaces in a binary non-isothermal mixture, Physica A 469 (2017) 420-428. DOI: 10.1016/j.physa.2016.11.062
  53. I.G. Nizovtseva, P.K. Galenko, D.V. Alexandrov, Traveling wave solutions for the hyperbolic Cahn-Allen equation, Chaos, Solitons and Fractals 94 (2017) 75-79 10.1016/j.chaos.2016.11.010
  54. P.K. Galenko, D.A. Danilov, K. Reuther, D.V. Alexandrov, M. Rettenmayr, D.M. Herlach, Effect of convective flow on stable dendrite growth in rapid solidification of a binary alloy, J. Crystal Growth 457 (2017) 349-355   doi: 10.1016/j.jcrysgro.2016.07.042
  55. D.V. Alexandrov, P.K. Galenko, I.O. Starodumov and V.V. Polyakova, FOREWORD to the International Conference “Structural and Phase Transformations in Materials: Theory, Computer Modelling and Experiment“, IOP Conf. Series: Materials Science and Engineering 192 (2017) 011001-1-6;  doi:10.1088/1757-899X/192/1/011001
  56. E.A. Titova, D.V. Alexandrov, P.K. Galenko, A relaxation time of secondary dendritic branches to their steady-state growth, IOP Conf. Series: Materials Science and Engineering 192 (2017) 012002-1-5
  57. I.G. Nizovtseva, P.K. Galenko, General set of traveling wave solutions for amplitude equations in the phase field crystal model, IOP Conf. Series: Materials Science and Engineering 192 (2017) 012004-1-9
  58. I. Starodumov, P. Galenko, D. Alexandrov, N. Kropotin, Influence of computational domain size on the pattern formation of the phase field crystals, IOP Conf. Series: Materials Science and Engineering 192 (2017) 012008-1-5
  59. A. Salhoumi, P.K. Galenko, Analysis of interface kinetics: solutions of the Gibbs-Thomson-type equation and of the kinetic rate theory, IOP Conf. Series: Materials Science and Engineering 192 (2017) 012014-1-9
  60. V. Ankudinov, P.K. Galenko, The diagram of phase-field crystal structures: an influence of model parameters in a two-mode approximation, IOP Conf. Series: Materials Science and Engineering 192 (2017) 012019-1-6
  61. E.A. Titova, D.V. Alexandrov, P.K. Galenko, Boundary integral approach for elliptical dendritic paraboloid as a form of growing crystals, IOP Conf. Series: Materials Science and Engineering 192 (2017) 012025-1-7
  62. P.K. Galenko, R. Hanke, P. Paul, S. Koch. M. Rettenmayr, J. Gegner, D.M. Herlach, W. Dreier, E.V. Kharanzhevski, Solidification kinetics of CuZr alloy: Ground-based and microgravity experiments, IOP Conf. Series: Materials Science and Engineering 192 (2017) 012028-1-11
  63. O.V. Kazak, P.K. Galenko, D.V. Alexandrov, Influence of tiny amounts of impurity on dendritic growth in undercooled melts, IOP Conf. Series: Materials Science and Engineering 192 (2017) 012030-1-8
  64. D.V. Alexandrov, P.K. Galenko, Dendritic growth with the six-fold symmetry: Theoretical predictions and experimental verification, Journal of Physics and Chemistry of Solids 108 (2017) 98-103 doi: 10.1016/j.jpcs.2017.04.016
  65. J. Gao, A. Kao, V. Bojarevics, K. Pericleous, P.K. Galenko, D.V. Alexandrov, Modeling of convection, temperature distribution and dendritic growth in glass-fluxed nickel melts, J. Crystal Growth 471 (2017) 66-72  http://dx.doi.org/10.1016/j.jcrysgro.2016.11.069
  66. D.V. Alexandrov, P.K. Galenko, Selected mode for rapidly growing needle-like dendrite controlled by heat and mass transport, Acta Materialia 137 (2017) 64-70 DOI: 10.1016/j.actamat.2017.07.022
  67. P.K. Galenko, K. Reuther, O.V. Kazak, D.V. Alexandrov, and M. Rettenmayr, Effect of convective transport on dendritic crystal growth from pure and alloy melts, Applied Physics Letters 111 (2017) 031602-1-5 (doi: 10.1063/1.4985340) 
  68. D.M. Herlach, S. Burggraf, P.K. Galenko, Ch.-A. Gandin, A. Garsia-Escorial, H. Henain, C. Karrasch, A. Mullis, M. Rettenmayr, J. Valloton, Solidification of Undercooled Melts of Al-based Alloys on Earth and in Space, JOM 69(8) (2017) 1303-1310         DOI: 10.1007/s11837-017-2402-y      
  69. P. Galenko, D. Danilov, I. Nizovtseva, K. Reuther, and M. Rettenmayr, Disorder trapping by rapidly moving phase interface in an undercooled liquid, EJP Web of Conferences 151 (2017) 05001-1-10.  DOI: 10.1051/epjconf/20171510
  70. D.V. Alexandrov, P.K. Galenko, Selected mode of dendritic growth with n-fold symmetry in the presence of a forced flow, Europhysics Letters 119 (2017) 16001-1-7         doi: 10.1209/0295-5075/119/16001
  71. I. Starodumov, V. Ankudinov, and P. Galenko, Simulation of crystalline pattern formation by the MPFC method. MATEC Web of Conferences 129 (2017) 02035-1-4 (DOI: 10.1051/matecconf/201712902035)   
  72. I. Starodumov, P. Galenko, N. Kropotin, D. Alexandrov, Influence of Initial Seed Distribution on The Pattern Formation of The Phase Field Crystals, AIP Conference Proceedings 1906 (2017) 200006-1-4.     DOI: 10.1063/1.5012482
  73. D.V. Alexandrov, P.K. Galenko, Dendritic growth in an inclined viscous flow. Part 1. Hydrodynamic solutions, AIP Conference Proceedings 1906 (2017) 200003-1-4. doi: 10.1063/1.5012479
  74. D.V. Alexandrov, P.K. Galenko, Dendritic growth in an inclined viscous flow. Part 2. Numerical examples, AIP Conference Proceedings 1906 (2017) 200004-1-4. doi: 10.1063/1.5012480    
  75. D.M. Herlach, P.K. Galenko, M. Rettenmayr, Design of Metastable Materials: Experimental techniques and modelling of non-equilibrium solidification. Proceedings of the 6th Decennial International Conference on Solidification Processing, 25-28 July 2017; Old Winsdor, UK, Edited by Z. Fan. BCAST, Brunel University (2017) pp. 26-29.  

    2015-2016

  76. J. Bueno, I. Starodumov, H. Gomez, P. Galenko, D. Alexandrov, Three dimensional structures predicted by the modified phase field crystal equation. Computational Materials Science 111 (2016) 310-312.
  77. J. Gao, M. Han, A. Kao, K. Pericleous, D.V. Alexandrov, P.K. Galenko, Dendritic growth velocities in an undercooled melt of pure nickel under static magnetic fields: a test of theory with convection. Acta Materialia 103 (2016) 184-191. http://dx.doi.org/10.1016/j.actamat.2015.10.014
  78. A. Salhoumi and P.K. Galenko, Gibbs-Thomson condition for the rapidly moving interface in a binary system. Physica A 447 (2016) 161-171.
  79. V.E. Ankudinov, P.K. Galenko, N.V. Kropotin, M.D. Krivilyov, Atomic density functional and diagram of structures in the phase field crystal model // Journal of Experimental and Theoretical Physics 122(2) (2016) 298-309.
  80. D.V. Alexandrov, D.A. Danilov, P.K. Galenko, Selection criterion of a stable dendrite growth in rapid solidification // International Journal of Heat and Mass Transfer 101 (2016) 789-799   
  81. I.G. Nizovtseva, P.K. Galenko, D.V. Alexandrov, The hyperbolic Allen-Cahn equation: Exact solutions, J Physica A: Theoretical and Mathematical 49 (2016) 435201-1-14.   
  82. V.G. Lebedev, P.K. Galenko, High Speed Solidification and Melting Concentrated Solutions and Construction of Hillert Parallel,  Russian Metallurgy (Metally) 8 (2016) 785–792.
  83. D.M. Herlach, S. Binder, P.K. Galenko, J. Gegner, D. Holland-Moritz, S. Klein, Matthias Kolbe, Th. Volkmann, Undercooled Melts: Ordering, Nucleation, and Dendrite Growth // Metallurgical and Materials Transactions A 46A (2015) 4921- 4936   
  84. H. Fu, M. Dehsara, M. Krivilyov, S.Dj. Mesarovic, D.P. Sekulic. Kinetics of the molten Al–Si triple line movement during a brazed joint formation // Journal of Materials Science, 2016, Volume 51, Issue 4, pp. 1798-1812
  85. M. Krivilyov, E. Kharanzhevskiy, S. Reshetnikov, L.J. Beyers. Thermodynamic assessment of chrome-spinel formation in laser sintered coatings with Cr2O3 particles // Metallurgical and Materials Transactions B, 2016. DOI 10.1007/s11663-016-0616-y
  86. Wang H., Galenko P.K., Zhang X., Kuang W., Liu F., Herlach D.M. Abrupt disappearance of solute drag in a hyperbolic phase-field model of rapid solidification // Acta Materialia 90 (2015) 282-291
  87. Kharanzhevskiy E., Ipatov A., Nikolaeva I., Zakirova R. Short-Pulse Laser Sintering of Multilayer Hard Metal Coatings: Structure and Wear Behavior // Lasers in Manufacturing and Materials Processing. 2015. Vol. 2. P. 91-102
  88. Galenko P.K., Sanches F.I., Elder K.R. Traveling wave profiles for a crystalline front invading liquid states: analytical and numerical solutions // Physica D: Nonlinear Phenomena, 308 (2015) 1-10
  89. Alexandrov D.V., Galenko P.K. Thermo-solutal and kinetic regimes of an anisotropic dendrite growing under forced convective flow // Physical Chemistry Chemical Physics 17 (2015) 19149-19161
  90. Galenko P.K., Danilov D.A., Alexandrov D.V. Solute redistribution around crystal shapes growing under hyperbolic mass transport // International Journal of Heat and Mass Transfer 89 (2015) 1054-1060
  91. Krivilyov M., Rasquin M., Stappers L., Gordeev G., Fransaer J., Degrez G. Direct numerical simulation of near-wall turbulent flow and ionic mass transport in electrochemical reactors using a hybrid finite element/spectral method // Int. J. Heat Mass Tran., 2015, vol. 91, pp. 922-935
  92. 2013-2014

  93. Danilov D.A., Lebedev V.G., Galenko P.K. A grand potential approach to phase-field modeling of rapid solidification // Journal of Non-Equilibrium Thermodynamics.- 2014.- Vol. 39, no. 2.- P. 93-111
  94. Binder S., Galenko P.K., Herlach D.M. The effect of fluid flow on the solidification of Ni2B from the undercooled melt // J. Applied Physics 115 (2014) 053511-1-11
  95. Galenko P.K., Kolbe M., Herlach D.M., Rettenmayr M. Kinetics of dendrite growth and dendritic fragmentation in the undercooled Co81.2Cu18.8 alloy's melt // Metallurgical Research and Technology 111 (2014) 295-303
  96. Kharanzhevskiy E., Reshetnikov S. Chromium oxide dissolution in steels via short pulse laser processing // Appl. Phys. A. (2014) Vol. 115. P. 1469-1477
  97. Kharanzhevskiy E., Kostenkov S. Modeling of laser radiation transport in powder beds with high-dispersive metal particles // Journal of Alloys and Compounds. (2014) Vol. 586. pp. S246-S249
  98. Jou D.; Galenko P.K. Coarse graining for the phase-field model of fast phase transitions. PHYSICAL REVIEW E 88 (2013) 042151-1-8
  99. Galenko, P. K.; Gomez, H.; Kropotin, N. V.; K. R. Elder. Unconditionally stable method and numerical solution of the hyperbolic phase-field crystal equation. PHYSICAL REVIEW E 88 (2013) 013310-1-13
  100. Zhang, L., Danilova, E.V., Steinbach, I., Medvedev, D., Galenko, P.K. Diffuse-interface modeling of solute trapping in rapid solidification: Predictions of the hyperbolic phase-field model and parabolic model with finite interface dissipation. ACTA MATERIALIA 61 (2013) 4155-4168
  101. Fu H., Dong F., Sekulic D.P., Mesarovic S.Dj., Krivilyov M. Surface tension driven kinetics of the triple line of a liquid metal free surface // ASME 2013 International Mechanical Engineering Congress and Exposition, Volume 7A: Fluids Engineering Systems and Technologies, San Diego, California, USA, November 15–21, 2013. ISBN: 978-0-7918-5631-4. Paper No. IMECE2013-62945, 8 p
  102. D.V. Alexandrov and P.K. Galenko, Dendritic growth with forced convection: methods of analysis and experimental tests, Physics-Uspekhi (Advances in Physical Sciences) 184(8) (2014) 833-850.
  103. E. Davidoff, P.K. Galenko, D.M. Herlach, M. Kolbe, N. Wanderka, Spinodally decomposed patterns in rapidly quenched Co–Cu melts, Acta Materialia 61 (2013) 1078–1092.
  104. D.V. Alexandrov and P.K. Galenko, Selection criterion for the growing dendritic tip at the inner core boundary, J. Phys. A: Math. Theor. 46 (2013) 195101-1-12.
  105. D.V. Alexandrov and P.K. Galenko, Selection criterion of stable dendritic growth at arbitrary Péclet numbers with convection, Physical Review E 87 (2013) 062403-1-5.
  106. S. Binder, P.K. Galenko, D.M. Herlach, Faceting of a rough solid-liquid interface of a metal induced by forced convection, Philosophical Magazine Letters 93(10) (2013)  608-617. 
  107. 2011-2012

  108. Krivilyov M., Volkmann T., Gao J., Fransaer J., Multiscale analysis of the effect of competitive nucleation on phase selection in rapid solidification of rare-earth ternary magnetic materials // Acta Materialia, 60 (2012) 112-122
  109. Reshetnikov S.M., Kharanzhevskii E.V., and Krivilev M.D. Corrosion-Electrochemical Behavior of Composite Layers Produced by Laser Sintering of Nanoscale Iron–Nickel Powders // Protection of Metals and Physical Chemistry of Surfaces, 2012, Vol. 48, No. 7, pp. 729-734
  110. Reshetnikov S.M., Kharanzhevskiy E.V., Krivilyov M.D., and Sadiokov E.Ye. Corrosion-Electrochemical Behavior of Iron-Based Composite Layers Obtained by Laser Sintering // Protection of Metals and Physical Chemistry of Surfaces, Pleiades Publishing, 2011, Vol. 47, No. 7, pp. 879–883
  111. Gordeev G.A., Ankudinov V.E., Krivilyov M.D. and Kharanzhevskiy E.V. Optimization of processing parameters in laser sintering of metallic powders // IOP Conference Series: Materials Science and Engineering, 2012, Vol. 27, 012079
  112. Krivilyov M., Fransaer J. Effects of Transient Heat and Mass Transfer on Competitive Nucleation and Phase Selection in Drop Tube Processing of Multicomponent Alloys // In: Solidification of Containerless Undercooled Melts, Wiley-VCH, Eds. D.M. Herlach and D.M. Matson, 2012, pp. 139-160
  113. Galenko, P. K.; Abramova, E. V.; Jou, D.; et al. Solute trapping in rapid solidification of a binary dilute system: A phase-field study. PHYSICAL REVIEW E 84 (2011) 041143-1-15.
  114. Galenko, P. K.; Elder, K. R. Marginal stability analysis of the phase field crystal model in one spatial dimension. PHYSICAL REVIEW B 83 (2011) 064113-1-8.
  115. Lebedev V.G.; Sysoeva A.; Galenko P.K. Unconditionally gradient-stable computational schemes in problems of fast phase transition. PHYSICAL REVIEW E 83 (2011) 026705-1-11
  116. 2009–2010

  117. V.G. Lebedev, E.V. Abramova, D.A. Danilov, P.K. Galenko, Phase-field modeling of solute trapping: comparative analysis of parabolic and hyperbolic models. International Journal of Materials Research, 101(4) 473–479 (2010).
  118. P.K. Galenko, S. Reutzel, D.M. Herlach, S.G. Fries, I. Steinbach, M. Apel, Dendritic solidification in undercooled Ni–Zr–Al melts: Experiments and modeling. Acta Materialia, 57(20) 6166–6175 (2009).
  119. P.K. Galenko and M.D. Krivilyov, Modeling of a transition to diffusionless dendritic growth in rapid solidification of a binary alloy. Computational Materials Science, 45 972–980 (2009).
  120. H. Hartmann, D. Holland-Moritz, P. K. Galenko and D. M. Herlach. Evidence of the transition from ordered to disordered growth during rapid solidification of an intermetallic phase // EPL, 87 (2009) 40007, doi: 10.1209/0295-5075/87/40007.
  121. P.K. Galenko, S. Reutzel, D.M. Herlach, S.G. Fries, I. Steinbach, M. Apel. Dendritic solidification in undercooled Ni–Zr–Al melts: Experiments and modeling // Acta Materialia 57 (2009) 6166–6175.
  122. Peter Galenko, David Jou. Kinetic contribution to the fast spinodal decomposition controlled by diffusion // Physica A 388 (2009) 3113-3123.
  123. N. Lecoq, H. Zapolsky and P. Galenko. Evolution of the structure factor in a hyperbolic model of spinodal decomposition // Eur. Phys. J. Special Topics 177, 165–175 (2009).
  124. P. Galenko, D. Danilov, V. Lebedev. Phase-field-crystal and Swift-Hohenberg equations with fast dynamics // Physical Review E 79, (2009) 051110.
  125. D. O. Kharchenko, P. K. Galenko, and V. G. Lebedev, Deterministic and Stochastic Dynamics in Spinodal Decomposition of a Binary System // Usp. Fiz. Met. 2009, т. 10, с. 27-102.
  126. M. Krivilyov, M. Rasquin, R. Laguerre, G. Degrez, J. Fransaer. Modeling of mass transfer in (electro)chemical reactors using a hybrid spectral/finite-elements method // Proceedings of the 8th National congress of theoretical and applied mechanics, Vrije Universiteit Brussel, Brussels, Belgium, 28-29 May 2009.
  127. Y. Detandt , M. Krivilyov, Y. Salhi, D. Vanden Abeele, J. Fransaer. Direct numerical simulation of Taylor-Couette flows in the fully turbulent regime // Proc. of the 4th Fourth International Conference on Computational Fluid Dynamics (10-14 July 2006, Ghent, Belgium). // In "Computational Fluid Dynamics 2006", eds. H. Deconinck, E. Dick, ISBN: 978-3-540-92778-5, Springer (2009), pp. 433-438.
  128. M. Krivilyov, J. Fransaer. Numerical simulation of unsteady flow inside an impulsively started liquid drop // In "Computational Fluid Dynamics 2006", eds. H. Deconinck, E. Dick, ISBN: 978-3-540-92778-5, Springer (2009), pp. 649-654.

    2007–2008

  129. P.K. Galenko and D.M. Herlach, Dendrite growth and grain refinement in undercooled melts. In: Phase Transformations in Multicomponent Systems. Edited by D.M. Herlach, Weinheim: Wiley-VCH, 353–373 (2008).
  130. P. Galenko, Solute trapping and diffusionless solidification in a binary system, arXiv:0708.3894v2 [cond-mat.mtrl-sci], (2007).
  131. H. Hartmann, P.K. Galenko, D. Holland-Moritz, M. Kolbe, D. M. Herlach, and O. Shuleshova, Nonequilibrium solidification in undercooled Ti45Al55 melts. Journal of Applied Physics, 103 073509-1-9 (2008).
  132. D.M. Herlach, R. Lengsdorf, P. Galenko, H. Hartmann, C.-A. Gandin, S. Mosbah, A. Garcia-Escorial, H. Henein, Non-equilibrium and near-equilibrium solidification of undercooled melts of Ni- and Al-based alloys. Advanced Engineering Materials, 10 444–452 (2008).
  133. P. Galenko, D. Jou, Diffuse interface model for non-equilibrium phase transformations. In: Proceedings of Joint European Thermodynamic Conference IX (11-15 June, 2007), ed.: B. Guy and D. Tonder, Saint-Etienne: Ecole Nationale Superieure des Mines, 75–80 (2007).
  134. P. Galenko, Solute trapping and diffusionless solidification in a binary system. Physical Review E, 76 031606-1-9 (2007).
  135. P. Galenko, S. Reutzel, D. Herlach, D. Danilov and B. Nestler, Modelling of dendritic solidification in undercooled dilute Ni-Zr melts. Acta Materialia, 55 6834–6842 (2007).
  136. A. Olemskoi, P. Galenko and A. Shmatko, Supersymmetry model of a binary mixture with noise of the diffusion flux. Physics Letters A, 365 358–363 (2007).
  137. D.M. Herlach, P.K. Galenko, Rapid Solidification: In situ diagnostics and theoretical modelling. Materials Science and Engineering A, 449–451 34–41 (2007).
  138. P.K. Galenko, G. Phanikumar, O. Funke, L. Chernova, S. Reutzel, M. Kolbe and D.M. Herlach, Dendritic solidification and fragmentation in undercooled Ni-Zr systems. Materials Science and Engineering A, 449–451 649–653 (2007).

    2005–2006

  139. O. Funke, G. Phanikumar, P.K. Galenko, L. Chernova, S. Reutzel, M. Kolbe and D.M. Herlach, Dendrite growth velocity in levitated undercooled nickel melts. Journal of Crystal Growth, 297(1) 211–222 (2006).
  140. P. Galenko, D. Jou, Diffuse-interface model for rapid phase transformations in nonequilibrium systems. cond-mat/0411263, (2005).
  141. P.K. Galenko, D.M. Herlach, Diffusionless crystal growth in a eutectic system during rapid solidification. Journal of Experimental and Theoretical Physics, 103(1) 150–158 (2006).
    [Zhurnal Eksperimental'noi i Teoreticheskoi Fiziki, 2006, Vol. 130, No. 1, pp. 171–180.]
  142. D. Jou, P. Galenko, Fluctuations and stochastic noise in systems with hyperbolic mass transport. Physica A, 366 149–158 (2006).
  143. P.K. Galenko, D.M. Herlach, Diffusionless Crystal Growth in Rapidly Solidifying Eutectic Systems. Phys. Rev. Lett. 96 150602 (2006).
  144. P.K. Galenko, A transition to diffusionless growth of crystal microstructure in rapid solidification. Materials Science Forum 508 19–25 (2006).
  145. P. Galenko, D. Jou, Diffuse-interface model for rapid phase transformations in nonequilibrium systems. Phys. Rev. E, 71 046125 (2005).
  146. M.D. Krivilyov, P.K. Galenko, Effect of stochastic noise on dendritic structure in solidifying alloys. In Fractals, Applied Synergetics and Structure Design, ed. V.S. Ivanova, V.U. Novikov and A.A. Oksogoev, Nova Science Publishers, 201–210 (2005).
  147. D.P. Sekulic, P.K. Galenko, M.D. Krivilyov, L. Walker, F. Gao, Dendritic growth in Al-Si alloys during brazing. Part 1: Experimental evidence and kinetics. Int. J. Heat Mass Transfer, 48(12) 2372–2384 (2005).
  148. D.P. Sekulic, P.K. Galenko, M.D. Krivilyov, L. Walker, F. Gao, Dendritic growth in Al-Si alloys during brazing. Part 2: Computational modeling. Int. J. Heat Mass Transfer, 48(12) 2385–2396 (2005).

    2003–2004

  149. P. K. Galenko, Rapid advancing of the solid-liquid interface in undercooled alloys. Mater. Sci. Eng. A, 375-377 493–497 (2004).
  150. P.K. Galenko, D.A. Danilov, Linear morphological stability analysis of the solid-liquid interface in rapid solidification of a binary system. cond-mat/0310095, (2003).
  151. E.V. Haranzhevskiy, D.A. Danilov, M.D. Krivilyov, P.K. Galenko, Structure and mechanical properties of structural steel in laser resolidification processing. Mater. Sci. Eng. A, 375-377 502–506 (2004).
  152. P.K. Galenko, D.A. Danilov, Linear morphological stability analysis of the solid-liquid interface in rapid solidification of a binary system. Phys. Rev. E, 69 051608 (2004).
  153. M.D. Krivilyov, P.K. Galenko and D.P. Seculic, Modeling of Al-Si alpha-phase crystal pattern formation during aluminium brazing. In: Brazing, High Temperature Brazing and Diffusion Welding. Eds: D. von Hofe, E. Lugscheider. Düsseldorf: DVS, 126–129 (2004).
  154. M. Kolbe, C.D. Cao, X.Y. Lu, P.K. Galenko, B. Wei, D.M. Herlach, Solidification behaviour of undercooled Co-Cu alloys showing a metastable miscibility gap. Materials Science and Engineering A, 375-377 520–523 (2004).
  155. D.M. Herlach, O. Funke, G. Phanikumar, P. Galenko, Rapid dendrite growth in undercooled melts: experiments and modelling. In: Solidification Processes and Microstructures. Eds: M. Rappaz, C. Beckermann, R. Trivedi. Warrendale, Pennsylvania, USA: TMS, 2004. 277–288.
  156. P. Galenko, Morphological transitions in crystal patterns at high solidification rates. In: Computational Modeling and Simulation of Materials III. Ed: P. Vincenzini. Faenza, Italy: Techna Group Publishers, 2004. 551–558.
  157. D.A. Danilov, P.K. Galenko, Hyperbolic Problem of Heat Transfer in Rapid Solidification of Supercooled Liquids. Heat Transfer Research, 34(1-2) (2003).

    2001–2002

  158. P.K. Galenko, E.V. Kharanzhevskii, D.A. Danilov, Structure and Mechanical Properties of Structural Steel upon Rapid Laser Resolidification. Physics of Metals and Metallography, 94 207–216 (2002).
    [Fizika Metallov i Metallovedenie. 2002. V.94. N.2. p.100–110.]
  159. P.K. Galenko, E.V. Kharanzhevskii, D.A. Danilov, Fast Crystallization of Structural Steel During Laser Processing of the Surface. Technical Physics, 47 561–568 (2002).
    [Zhurnal Tekhnicheskoi Fiziki. 2002. V.72. N.5. p.48–55.]
  160. P. Galenko, Extended thermodynamical analysis of a motion of the solid-liquid interface in a rapidly solidifying alloy. Phys. Rev. B, 65 144103 (2002).
  161. M. Kolbe, C.D. Cao, P.K. Galenko, J. Fransaer, D.M. Herlach, Dynamics of solidification and microstructure evolution in undercooled Co-Cu alloys with metastable miscibility gap. In: Fundamentals of Advanced Materials for Energy Conservation. Eds: D. Chandra and R.G. Bautisuta. Warrendale, Pennsylvania, USA: TMS, 2002. 539–553.
  162. P. Galenko, Phase-field model with relaxation of the diffusion flux in nonequilibrium solidification of a binary system. Phys. Lett. A, 287(3-4) 190–197 (2001).
  163. P.K. Galenko, M.D. Krivilyov, V.I. Lad'yanov and M.V. Osetrov, Aplication of the model of locally nonequilibrium solidification to the process of structure formation in alloys rapidly quenched by spinning. Crystallography Reports, 46(2) 310–311 (2001).
  164. M. Kolbe, C.D. Cao, P.K. Galenko, T. Letzig, G.P. Görler, B. Wei, D.M. Herlach, Phase morphology of undercooled Cu-Co alloys in the metastable miscibility gap. In: Science of Metastable and Nanocrystalline Alloys: Structure, Properties and Modelling. Eds: A.R. Dinesen et al. Roskilde, Denmark: Risø National Laboratory, 2001. 289–294.

    2000

  165. P.K. Galenko, D.A. Danilov, Quasistationary Forms of Crystal Growth in Locally Nonequilibrium Diffusion of Impurity. Journal of Engineering Physics and Thermophysics, 73 1236–1246 (2000).
    [Inzhenerno-Fizicheskii Zhurnal. 2000. V.73. N.6. p.1278–1288.]
  166. P.K. Galenko, D.A. Danilov, Hyperbolic self-consistent problem of heat transfer in rapid solidification of supercooled liquid. Phys. Lett. A, 278 129–138 (2000).
  167. P.K. Galenko, D.A. Danilov, Steady-state shapes of growing crystals in the field of local nonequilibrium diffusion. Phys. Lett. A, 272 207–217 (2000).
  168. P.K. Galenko, D.A. Danilov, Selection of the dynamically stable regime of rapid solidification front motion in an isothermal binary alloy. Journal of Crystal Growth, 216 512–536 (2000).
  169. D.A. Danilov, P.K. Galenko, Hyperbolic heat transfer in rapid solidification of supercooled liquids. Proceedings of IV Minsk International Forum on Heat and Mass Transfer. May 22-26, 2000. Vol.5, pp.418–428 (2000).
  170. P.K. Galenko, M.D. Krivilyov, Model for isothermal pattern formation of growing crystals in undercooled binary alloys. Modelling Simul. Mater. Sci. Eng. 8 67–79 (2000).
  171. P.K. Galenko, M.D. Krivilyov, Modelling of crystal pattern formation in isothermal undercooled alloys. Modelling Simul. Mater. Sci. Eng. 8 81–94 (2000).

    1993–1999

  172. P.K. Galenko, D.A. Danilov, Model for free dendritic alloy growth under interfacial and bulk phase nonequilibrium conditions. Journal of Crystal Growth, 197 992–1002 (1999).
  173. D.V. Aleksandrov, V.V. Mansurov, P.K.Galenko, Dynamic Instability of Rapid Solidification Fronts. In: Mathematics of Heat Transfer. Eds: Tupholme G.E. and Wood A.S. Oxford, England: Oxford University Press, 1998. 53–61.
  174. P.K. Galenko, D.A. Danilov, Local nonequilibrium effect on rapid dendritic growth in binary alloy melt. Phys. Lett. A, 235 271–280 (1997).
  175. P. Galenko, S. Sobolev, Local nonequilibrium effect on undercooling in rapid solidification of alloys. Phys. Rev. E, 55 343–352 (1997).
  176. P.K. Galenko, M.D. Krivilyov, Crystal pattern formation under local nonequilibrium solidification. In Fractal Frontiers, ed. M.M. Novak and T.G. Dewey, Singapore: World Scientific, 411–419 (1997).
  177. D.V. Aleksandrov, V.V. Mansurov, P.K.Galenko, Morphological stability of the plane phase boundary in a binary melt for processes of high-rate crystallization. Physics Doklady, 41(11) 511–513 (1996).
  178. P.K. Galenko, The conditions for the development of diffusional supercooling in the locally-nonequilibrium crystallization of alloys. Technical Physics, 40(11) 1149–1153 (1995).
  179. P. Galenko, Local-nonequilibrium phase transition model with relaxation of the diffusion flux. Phys. Lett. A, 190(3-4) 292–294 (1994).
  180. P.K. Galenko, To the phenomenological theory of local-nonequilibrium crystallization of alloys. Physics Doklady, 39(2) 111–113 (1994).
  181. P.K. Galenko, Diffusion relaxation during high-speed crystallization of a binary alloy. Crystallography Reports, 38(6) 836–839 (1993).

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