Energy oscillations in a one-dimensional harmonic crystal on an elastic substrate

被引：18

作者：

Babenkov, M. B. ^{[1
,2
]}

Krivtsov, A. M. ^{[1
,2
]}

Tsvetkov, D. V. ^{[1
,2
]}

机构：

[1] Peter Great St Petersburg Polytech Univ, St Petersburg 195251, Russia

[2] Russian Acad Sci, Inst Problems Mech Engn, St Petersburg 199178, Russia

来源：

PHYSICAL MESOMECHANICS | 2016年 / 19卷 / 03期

基金：

俄罗斯科学基金会;

关键词：

one-dimensional crystal; thermal conductivity; convariances; energy oscillations; elastic substrate; NORMAL HEAT-CONDUCTIVITY; THERMAL-CONDUCTIVITY; EXPANSION; MECHANICS; LATTICES; SYSTEMS; CHAINS;

D O I：

10.1134/S1029959916030061

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

A one-dimensional harmonic crystal on an elastic substrate is considered as a stochastic system into which randomness is introduced through initial conditions. The use of the particle velocity and displacement covariances reduces the stochastic problem to a closed deterministic problem for statistical characteristics of particle pairs. An equation of rapid motion that describes oscillations of potential and kinetic energy components of the system has been derived and solved. The obtained solutions are used to determine the character and to estimate the time of decay of the transient process that brings the system to thermodynamic equilibrium.

引用

页码：282 / 290

页数：9

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