THEORY FOR RELAXATION AT A SUBCRITICAL PITCHFORK BIFURCATION

被引：20

作者：

COLET, P

DEPASQUALE, F

CACERES, MO

SANMIGUEL, M

机构：

[1] Departament de Fiiaasica, Universitat de les Illes Balears, E-07071, Palma de Mallorca

来源：

PHYSICAL REVIEW A | 1990年 / 41卷 / 04期

关键词：

D O I：

10.1103/PhysRevA.41.1901

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

A theory is presented for the transient process of decay from the state of marginal stability occurring in a subcritical pitchfork bifurcation. We introduce an approximation for the stochastic paths that allows the calculation of a generating function for the statistics of the escape time. The time-dependent moments and transient fluctuations are calculated from the distribution of passage times by a scaling transformation that is associated with initial non-Gaussian statistics. Our results are in agreement with numerical simulations reported also here. © 1990 The American Physical Society.

引用

页码：1901 / 1911

页数：11

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