Kinetic model of nonequilibrium melting of metal at critical heating by a nanosecond volume heating source
A kinetic model of the nonequilibrium melting of a metal during critical heating by a nanosecond volumetric heat source is formulated. The proposed approach takes into account the characteristic features of the process: strong nonequilibrium of the system, thermodynamic fluctuations of the order parameter, which play a significant role in the vicinity of the critical phase transformation point, especially when the point of absolute instability of the system is reached. The dependences of the model thermodynamic potential on the order parameter for various values of the superheat of a copper sample were calculated. During critical overheating, the minimum corresponding to the solid state disappears, turning into an inflection point. A solid state becomes completely unstable.
Keywords
кинетическая модель,
объемный тепловой источник,
неравновесная система,
термодинамические флуктуации,
неустойчивость системы,
kinetic model,
volumetric heat source,
nonequilibrium system,
thermodynamic fluctuations,
system instabilityAuthors
| Slyadnikov E.E. | Institute of Strength Physics and Materials Science Siberian Branch of the Russian Academy of Sciences; Institute of Computational Technologies Siberian Branch of the Russian Academy of Sciences; Tomsk State University of Control Systems and Radioelectron | eeslyadnikov@gmail.com |
| Turchanovsky I.Yu. | Institute of Computational Technologies Siberian Branch of the Russian Academy of Sciences | tur@hcei.tsc.ru |
| Kaminsky P.P. | Institute of Strength Physics and Materials Science Siberian Branch of the Russian Academy of Sciences | kaminskiypp@tomsk.gov.ru |
Всего: 3
References
Carslaw H. and Jaeger J. Conduction of Heat in Solids. - 2 edition. - USA, Oxford University Press, 1959. - 510 p.
Christian J.W. The Theory of Transformations in Metals and Alloys. - New York; London: Pergamon Press, 1965. - 1192 p.
Williamson S., Mourou G., and Li J.C.M. // Phys. Rev. Lett. - 1980. - V. 52. - Iss. 26-25. - P. 2364.
Chernov P., Ivanova S.V., Krening M.Kh., et al. // Cherdantsev Tech. Phys. - 2012. - V. 57. - No. 3. - P. 392-398.
Cahn J.W. and Hilliard J.E. // J. Chem. Phys. - 1958. - V. 28. - P. 258-267.
Karma Alain and Rappel Wouter-Jan // Phys. Rev. E. - 1996. - V. 53. - Iss. 4. - P. 3017-3020.
Ji-Qin Li, Tai-Hsi Fan, Takashi Taniguchi, Bi Zhang // Int. J. Heat and Mass Transfer. - 2018. - V. 117. - P. 412-424.
Khomich V.Yu. and Shmakov V.A. // Physics-Uspekhi. - 2015. - V. 58. - P. 455-465.
Жвавый С.П. // ЖТФ. - 2000. - Т. 70. - Вып. 8. - С. 58-62.
Ubbelohde A.R. Molten State of Matter: Melting and Crystal Structure. - John Wiley & Sons Ltd., 1978. - 470 p.
Landau L.D. and Lifshitz E.M. Course of Theoretical Physics. V. 5. Statistical Physics. - 3 edition. - Butterworth-Heinemann, 1975. - 544 p.
Haken H. Synergetik. - Berlin; Heidelberg; New York: Springer Verlag, 1982. - 439 p.
Слядников Е.Е., Турчановский И.Ю. // Изв. вузов. Физика. - 2016. - Т. 59. - № 9. - С. 125-133.
Борн М., Кунь Х. Динамическая теория кристаллических решеток: пер. с англ. В.И. Когана / под ред. И.М. Лифшица. - М.: ИЛ, 1958.
Korostelev S.Yu., S Psakhie.G., Slyadnikov E.E., and Turchanovskiy I.Yu. // AIP Conf. Proc. - 2016. - V. 1783. - P. 020104-1-020104-4.
Озниев Д.Т., Ибрагимов Х.И. // Респ. межвед. сб. АН УССР. - Киев: Наукова думка, 1985. - Вып. 14. - 114 с.
Зельдович Я.Б. Избранные труды. Химическая физика и гидродинамика. - М.: Наука, 1984. - 374 с.
Любов Б.Я. Кинетическая теория фазовых превращений. - М.: Металлургия, 1969. - 264 с.
