December 2007, to be published in Physical Review E


Nonequilibrium critical dynamics of the two-dimensional Ising model quenched from a correlated initial state
L\ ' { a} szl\ ' { o} K\"{o}rnyei, Michel Pleimling, and Ferenc Igl\'{o}i

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.

© 2008 The American Physical Society.