Influence of additive noise on noise-induced phase transitions in nonlinear chains

被引：25

作者：

Landa, PS ^{[1
]}

Zaikin, AA

Schimansky-Geier, L

机构：

[1] Moscow MV Lomonosov State Univ, Dept Phys, Moscow 119899, Russia

[2] Humboldt Univ, D-10115 Berlin, Germany

来源：

CHAOS SOLITONS & FRACTALS | 1998年 / 9卷 / 08期

关键词：

D O I：

10.1016/S0960-0779(98)00069-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The influence of additive noise on phase transitions in nonlinear chains induced by multiplicative noise is studied. These chains can be considered as finite difference approximations of nonlinear partial differential equations of diffusion type. The phase transitions considered manifest themselves in the disruption of the symmetry and the birth of new equilibrium states. In the so-called mean field approximation, it is shown that additive noise significantly shifts the boundaries of the phase transition. (C) 1998 Elsevier Science Ltd. All rights reserved.

引用

页码：1367 / 1372

页数：6

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