For citation:
Zhitskey S. G. Modeling of cooperative effects of pre-melting from positions of the deterministic chaos theory. Izvestiya VUZ. Applied Nonlinear Dynamics, 2004, vol. 12, iss. 3, pp. 65-73. DOI: 10.18500/0869-6632-2004-12-3-65-73
Modeling of cooperative effects of pre-melting from positions of the deterministic chaos theory
Melting of crystal substances is considered from positions of deterministic chaos. It gives an explanation of the heat generation effects near the melting point in the real dynamic conditions. The behavior of the crystal lattice in the real melting is investigated on the base of the spatial-distributed model of coupled chaotic oscillators. It is shown that a transition is possible from solid to qualitatively new ordered state as a result of chaotic synchronization of oscillation of lattice points. Conditions are considered of such transition. Received results are compared with the results of earlier examinations.
1. Bityutskaya LA, Mashkina ES. Cooperative effects of pre- and post-transition states during the melting of germanium. Tech. Phys. Lett. 1995;21(17):8–11.
2. Bityutskaya LA, Mashkina ES. The influence of anisotropy of the crystal structure on transient processes during the melting of antimony. Tech. Phys. Lett. 1995;21(20):30. (in Russian).
3. Bityutskaya LA, Mashkina ES. Features of pre-and posttransition states at copper melting. Tech. Phys. Lett. 1995;21(24):90–93. (in Russian).
4. Bityutskaya LA, Mashkina ES. System of kinetic parameters of the transition processes under melting оf crystalline substances. Phase Transition. 2000;71:317–330.
5. Frenkel YI. Kinetic Theory of Liquids. Leningrad: Nauka; 1975. 592 p. (in Russian).
6. Khait YuL. Calculation of narrow temperature interval оf premalting phenomena. Phys. Stat. Sol. (b). 1985;131:K19.
7. Anishchenko VS, Vadivasova TE, Astakhov VB. Nonlinear dynamics of chaotic and stochastic systems. Saratov: SSU Publishing House, 1999. 368 p. (in Russian).
8. Belykh V, Belykh G, Hasler M, Nevidin K. Cluster synchronization in threedimensional lattices оf diffusively coupled oscillators. International Journal оf Bifurcation and Chaos. 2003;13(4):755–779. DOI: 10.1142/S0218127403006923.
9. Pavlov PV, Khokhlov AF. Solid state physics. Moscow: Vysshaya Shkola Publishers, 2000. 493 p. (in Russian).
10. Оsiроv G, Pikovsky А, Rosenblum M, Kurths J. Phase synchronization effects in a lattice of nonidentical Ressler oscillators. Phys. Rev. E. 1997;55:2353–2361. DOI: 10.1103/PhysRevE.55.2353.
11. Karasevsky AI, Lyubashenko VV. Physical processes in solids leading to melting. 1. First-order phase transition in a crystal with vacancies. Melts. 1997;3:80.
- 155 reads