MICROSCOPIC JUSTIFICATION OF THE STOCHASTIC F-MODEL OF CRITICAL DYNAMICS

被引：5

作者：

Gnatich, M. ^{[1
]}

Komarova, M. V. ^{[2
]}

Nalimov, M. Yu. ^{[2
]}

机构：

[1] Slovak Acad Sci, Inst Expt Phys, Kosice 04353, Slovakia

[2] St Petersburg State Univ, St Petersburg 199034, Russia

来源：

THEORETICAL AND MATHEMATICAL PHYSICS | 2013年 / 175卷 / 03期

基金：

俄罗斯基础研究基金会;

关键词：

stochastic dynamical model; Langevin equation; F-model; critical dynamics; Bose liquid; superfluidity; temporal Green's function; SYSTEMS;

D O I：

10.1007/s11232-013-0064-7

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We use a microscopic approach to derive the stochastic Langevin equations for a quantum Bose liquid near the phase transition to the superfluid state. These equations can be obtained in local form if either the finiteness of the system dimensions or the boundedness of the time interval under study is taken into account. We give the microscopic expressions for random forces in the stochastic equations and show that the white noise approximation holds only in the critical region. We prove that the model for properly describing the critical fluctuations is precisely the F-model.

引用

页码：779 / 787

页数：9

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