From nonlinear oscillations to equation of state in simple discrete systems

被引：15

作者：

Krivtsov, AM ^{[1
]}

机构：

[1] St Petersburg State Univ, Dept Theoret Mech, St Petersburg 195251, Russia

来源：

CHAOS SOLITONS & FRACTALS | 2003年 / 17卷 / 01期

基金：

俄罗斯基础研究基金会;

关键词：

D O I：

10.1016/S0960-0779(02)00450-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Nonlinear oscillations of a single particle in the potential well and for one-dimensional chain of interacting particles are considered. The law of interaction is of Lennard-Jones type, mimicking interaction in atomic systems. Similarities in average behaviour of the systems with one and many degrees of freedom are shown. Time averaging for the random oscillations is used to obtain thermodynamic characteristics such as pressure, specific volume, and thermal energy. Second order equation of state is obtained, which is valid in the conditions of strong extension, where fails the widely used Mie-Gruneisen equation of state. (C) 2002 Elsevier Science Ltd. All rights reserved.

引用

页码：79 / 87

页数：9

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