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Multiplicative Noise in Non-equilibrium Phase Transitions: A tutorial

2003/03/31 by Miguel A. Muñoz, Miguel A. Munoz, Munoz, Miguel A. · 2 citations
Computer Science · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Condensed Matter (cond-mat) #FOS: Physical sciences #Nonlinear Dynamics and Pattern Formation #Theoretical and Computational Physics #cond-mat

paper · pdf · doi:10.48550/arxiv.cond-mat/0303650

Review article to appear in ``Advances in Condensed Matter and Statistical Mechanics", Ed. E. Korutcheva and R. Cuerno. To be published by Nova Science Publishers. 43 pages. 9 eps figures. References updated and new figure added

openalex publication_date 2003/03/31 · arxiv created 2003/05/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Stochastic phenomena in which the noise amplitude is proportional to the fluctuating variable itself, usually called \it multiplicative noise, appear ubiquitously in physics, biology, economy and social sciences. The properties of spatially extended systems with this type of stochasticity, paying special attention to the \it non-equilibrium phase transitions these systems may exhibit, are reviewed here. In particular we study and classify the possible universality classes of such transitions, and discuss some specific physical realizations including depinning transitions of non-equilibrium interfaces, non-equilibrium wetting phenomena, synchronization of spatially extended systems and many others.

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