Journal of Statistical Physics

, Volume 152, Issue 1, pp 37–53 | Cite as

A Curie-Weiss Model with Dissipation

Article

Abstract

We consider stochastic dynamics for a spin system with mean field interaction, in which the interaction potential is subject to noisy and dissipative stochastic evolution. We show that, in the thermodynamic limit and at sufficiently low temperature, the magnetization of the system has a time periodic behavior, despite of the fact that no periodic force is applied.

Keywords

Mean field models Random potential Noise-induced periodicity 

Notes

Acknowledgements

We are grateful to G. Giacomin for deep comments and suggestions.

The authors acknowledge the financial support of the Research Grant of the Ministero dell’Istruzione, dell’Università e della Ricerca: PRIN 2009, Complex Stochastic Models and their Applications in Physics and Social Sciences.

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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.Dipartimento di MatematicaUniversità degli Studi di PadovaPaduaItaly

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