English

Memory Effects and Scaling Laws in Slowly Driven Systems

chao-dyn 2007-05-23 v1 Statistical Mechanics Chaotic Dynamics

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.

Keywords

Cite

@article{arxiv.chao-dyn/9807025,
  title  = {Memory Effects and Scaling Laws in Slowly Driven Systems},
  author = {N. Berglund and H. Kunz},
  journal= {arXiv preprint arXiv:chao-dyn/9807025},
  year   = {2007}
}

Comments

28 pages (AMS-LaTeX), 18 PS figures

R2 v1 2026-07-22T09:56:29.178Z