GRILLE DYNAMICS. PHASE TRANSITIONS. LOW DIMENSIONAL SYSTEMS DEVELOPMENT OF THE FRENKEL-KONTOROVA MODEL. 1. BASIC STATE AND DYNAMICS

Authors

  • A. Filonov Institute of Non-Ferrous Metals named after M.I. Kalinin

Keywords:

FK model, discreteness, continual approximation, exact solution, soliton

Abstract

Exact solutions of the discrete FK-model for the ground state and its dynamics are obtained. Numerous differences between these solutions and their continual approximations are revealed. As a development of the FK model, a function of the elastic dispersion law  () x with two local minima is proposed.

References

Ya.I. Frenkel, T. Kontorova ZhETF, 8, 1340, (1938)

O.M. Braun, Y.S. Kivshar. The FrenkelKontorova Model, Springer (2004)

A.K. Abkaryan, A.Yu. Babushkin, B.S. Dobronec, V.S. Krasikov, A.N. Filonov FTT, 2, (2016)

A.Yu. Babushkin, A.K. Abkaryan, B.S. Dobronec, V.S. Krasikov, A.N. Filonov FTT, 9, (2016)

V. L. Pokrovskii and A. L. Talapov, Sov. Phys. JETP 48 (3), 579 (1978).

A.Yu. Babushkin, A.K. Abkaryan i dr. Patent № 2014616693 «Programma rascheta uprugo-periodicheskoj cepochki» (2014)

A.N. Filonov, G.M. Zaslavsky Phys. Lett, 85 A, 237, 1981

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Published

2021-10-10

Issue

Vol. 1 No. 53 (2021)

Section

Статьи

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