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

arXiv:0710.2829 · doi:10.1103/PhysRevE.77.011127

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.

6 pages, 5 figures, submitted to Phys. Rev. E