Nonadiabatic transitions of atoms and the formation of new phase nuclei in solids
Khon Yu. A.
1
1Institute of Strength Physics and Materials Science of Siberian Branch of Russian Academy of Sciences, Tomsk, Russia
Email: khon@ispms.tsc.ru
A mechanism for the formation of nuclei of a new phase in a solid is proposed, determined by nonadiabatic Landau-Zener transitions in an open system of nuclei and electrons. Based on the analysis of the equations of nonadiabatic molecular dynamics, two order parameters are identified. The dynamics of the nucleation and growth of the embryo is determined by two related nonlinear parabolic equations for order parameters. The conditions for the formation of stable and unstable embryos are found. It is shown that the formation of the embryo can proceed in an auto-oscillatory mode. The influence of the heating (cooling) rate on the formation of new phase nuclei is considered. Keywords: Phase transformations, non-adiabatic dynamics of atoms, dynamic displacements, localization of displacements. DOI: 10.61011/PSS.2023.08.56564.100
- J. Christian. The Theory of Transformations in Metals and Alloys. Pergamon Press (1965). V. 1
- Nucleation theory and application / Ed. J.W.P. Schmelzer. Wiley-VCH (2006). 453 p
- E.M. Lifshitz, L.P. Pitaevsky. Fizicheskaya kinetika. Fizmatgiz, M. (2002). 535 p. (in Russian)
- G.E. Abrosimova, D.V. Matveev, A.S. Aronin. Phys.-Usp. 65, 3, 227 (2022)
- G.A. Malygin. Phys.-Usp. 44, 2, 173 (2001)
- M.P. Kashchenko, V.G. Chashchina. Phys.-Usp. 54, 4, 331 (2011)
- G.A. Malygin. Phys. Solid State 64, 5, 563 (2022)
- V. Dmitriev. Discontinuous Phase Transitions in Condensed Matter. World Scientific (2023). 439 p
- S.A. Kukushkin, A.V. Osipov. Prog. Surf. Sci. 151, 1, 1 (1996). https://doi.org/10.1016/0079-6816(96)82931-5
- S.A. Kukushkin, A.V. Osipov. Him. Fizika 15, 9, 5 (1996). (in Russian)
- S.A. Kukushkin, A.V. Osipov. Phys.-Usp. 41, 10, 983 (1998)
- S.A. Kukushkin, A.V. Osipov. Phys. Solid State 56, 4, 792 (2014)
- Ya.B. Zeldovich. ZHETF 12, 11--12, 525 (1942). (in Russian)
- M. Born, R. Oppenheimer. Ann. Physik 389, 20, 457 (1927)
- L. Landau. Phys. Z. Sowjetunion 2, 46 (1932)
- C. Zener. Proc. R. Soc. London A 137, 833, 696 (1932)
- E.C.G. Stuckelberg. Helv. Phys. Acta 5, 6, 369 (1932)
- E. Majorana. Nuovo Cimento 9, 2, 43 (1932)
- C. Zhu, H. Nakamura. J. Chem. Phys. 101, 12, 10630 (1994)
- C. Zhu, H. Nakamura. J. Chem. Phys. 102, 19, 7448 (1995)
- J.C. Tully. J. Chem. Phys. 137, 22, 22A301 (2012)
- R. Kapral. J. Phys.: Condens. Matter 27, 7, 073201 (2015)
- B.F.E. Curchod, U. Rothlisberger, I. Tavernelli. Chem. Phys. Chem. 14, 7, 1314 (2013)
- I.M. Shmytko, I.M. Afonnikova, N.S. Dorokhova. FTT 40, 12, 2217 (1998). (in Russian)
- S. Belyaev, N. Resnina, V. Rubanik, A. Shelyakov, V. Niapomniashchay, E. Ubyivovk, I. Kasatkin. Mater. Lett. 209, 231 (2017)
- S. Belyaev, V. Rubanik, N. Resnina, V. Rubanik, E. Ubyivovk, E. Demidova, A. Uzhekina, I. Kasatkin, A. Shelyakov. Mater. Lett. 275, 128084 (2020)
- S. Belyaev, V. Rubanik, N. Resnina, V. Rubanik, E. Ubyivovk, E. Demidova, A. Uzhekina, I. Kasatkin, A. Shelyakov. J. Non Cryst. Solids 542, 120101 (2020)
- W. Guo, R. Yamada, J. Saida. Intermetallics 93, 141 (2018)
- G. Abrosimova, N. Volkov, E. Pershina, Tran Van Tuan, A. Aronin. J. Non-Cryst. Solids 528, 119751 (2020)
- A.V. Korobov, V.A. Shklovsky. Him. Fizika 7, 3, 338 (1988). (in Russian)
- V.A. Shklovskii, V.M. Kuz'menko. Phys.-Usp. 32, 2, 163 (1989)
- M.A. Margulis. Osnovy zvukokhimii (khimicheskie reaktsii v akusticheskikh polyakh). Vyssh. shk., M., (1984). 272 p. (in Russian)
- V.L. Ginzburg. Phys.-Usp. 47, 11, 1155 (2004)
- M. Born, H. Kun. Dynamical Theory of Crystal Lattices. Oxford University Press (1954)
- V.E. Egorushkin, N.V. Mel'nikova. JETP 76, 1, 103 (1993)
- P.C. Hohenberg, A.P. Krekhov. Phys. Rep. 572, 1 (2015)
- Yu.A. Khon, L.B. Zuev. Phys. Mesomech., 25, 111 (2022)
- Yu.A. Khon, P.V. Makarov. Phys. Solid State 63, 7, 1009 (2021)
- B.S. Kerner, V.V. Osipov. Phys.-Usp. 32, 2, 101 (1989)
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