Open AccessАсимптотическое описание быстрых тепловых процессов в скалярных гармонических решетках
Author(s) -
Д.В. Кориков
Publication year - 2020
Publication title -
fizika tverdogo tela
Language(s) - English
Resource type - Journals
eISSN - 1726-7498
pISSN - 0367-3294
DOI - 10.21883/ftt.2020.11.50079.640
Subject(s) - kinetic energy , physics , excitation , condensed matter physics , lattice (music) , amplitude , hexagonal lattice , dispersion relation , scalar (mathematics) , exponent , thermal , quantum mechanics , thermodynamics , mathematics , geometry , linguistics , philosophy , antiferromagnetism , acoustics
Thermal processes in d-dimensional (d = 1,2) scalar harmonic lattices with simple structure are considered. The redistribution between the averaged kinetic and potential energies of particles after instantaneous thermal excitation is described. At times much longer than the characteristic period of atomic oscillations, the difference between the kinetic and potential energies oscillates with amplitude decreasing by a power law (typically, the exponent is -d/2). The frequencies of the oscillations are determined from the dispersion relation for the lattice. The above results can be generalized for scalar and vector lattices of complex structure and various dimensions. As an example, the oscillations of the kinetic tmperature in the two-dimensional hexagonal lattice (graphene lattice) are investigated.