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Journal of Statistical Physics

, Volume 150, Issue 3, pp 531–539 | Cite as

Non-equilibrium Dynamics of an Infinite Range XY Model in an External Field

  • Renato Pakter
  • Yan Levin
Article

Abstract

We study the XY model with infinite range interactions in an external magnetic field. The simulations show that in the thermodynamic limit this model does not relax to the thermodynamic equilibrium—instead it becomes trapped in a non-ergodic out-of-equilibrium state. We show how the relaxation towards this non-equilibrium state can be studied using the properties of the collisionless Boltzmann (Vlasov) equation.

Keywords

XY model Vlasov Long-range 

Notes

Acknowledgements

This work was partially supported by the CNPq, FAPERGS, INCT-FCx, and by the US-AFOSR under the grant FA9550-09-1-0283.

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Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  1. 1.Instituto de FísicaUniversidade Federal do Rio Grande do SulPorto AlegreBrazil

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