Memory Effects and Scaling Laws in Slowly Driven Systems

Benoît E; Berglund N; Berglund N; de Melo W; Fenichel N; Goldsztein G H; H Kunz; Hale J; Kawasaki K; Kobayashi S; Martin P A; Martin P A; Mishchenko E F; N Berglund; Neishtadt A I; Neishtadt A I; Neishtadt A I; Vasil'eva A B; Wasow W

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Memory Effects and Scaling Laws in Slowly Driven Systems

Authors: Benoît E
Berglund N
Berglund N
de Melo W
Fenichel N
Goldsztein G H
H Kunz
Hale J
Kawasaki K
Kobayashi S
Martin P A
Martin P A
Mishchenko E F
N Berglund
Neishtadt A I
Neishtadt A I
Neishtadt A I
Vasil'eva A B
Wasow W
Publication date: 1 January 1998
Publisher: 'IOP Publishing'
Doi

Abstract

This article deals with dynamical systems depending on a slowly varying parameter. We present several physical examples illustrating memory effects, such as metastability and hysteresis, which frequently appear in these systems. A mathematical theory is outlined, which allows to show existence of hysteresis cycles, and determine related scaling laws.Comment: 28 pages (AMS-LaTeX), 18 PS figure

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