Nonequilibrium critical dynamics of the two-dimensional Ising model quenched from a correlated initial state

László Környei, Michel Pleimling, and Ferenc Iglói
Phys. Rev. E 77, 011127 – Published 30 January 2008

Abstract

The universality class, even the order of the transition, of the two-dimensional Ising model depends on the range and the symmetry of the interactions (Onsager model, Baxter-Wu model, Turban model, etc.), but the critical temperature is generally the same due to self-duality. Here we consider a sudden change in the form of the interaction and study the nonequilibrium critical dynamical properties of the nearest-neighbor model. The relaxation of the magnetization and the decay of the autocorrelation function are found to display a power law behavior with characteristic exponents that depend on the universality class of the initial state.

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  • Received 5 October 2007

DOI:https://doi.org/10.1103/PhysRevE.77.011127

©2008 American Physical Society

Authors & Affiliations

László Környei1, Michel Pleimling2,*, and Ferenc Iglói3,1,†

  • 1Institute of Theoretical Physics, Szeged University, H-6720 Szeged, Hungary
  • 2Department of Physics, Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061-0435, USA
  • 3Research Institute for Solid State Physics and Optics, P. O. Box 49, H-1525 Budapest, Hungary

  • *Michel.Pleimling@vt.edu
  • igloi@szfki.hu

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Vol. 77, Iss. 1 — January 2008

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