A goldstone mode in the Kawasaki-Ising model

J. M. Nunes da Silva, Eduardo Lage

B. C. S. Grandi, W. Figueiredo

The two-dimensional Ising model with competing Glauber and Kawasaki dynamics is studied by Monte Carlo simulations. We show that the model exhibits the phenomenon of self-organization when the Kawasaki dynamics is the dominant one. For this model we show that the values of the critical exponents calculated at the stationary states are in accordance with the exact ones known for the equilibrium Ising model. These results give support to the idea that the equilibrium and nonequilibrium Ising models, which exhibit up-down symmetry, belong to the same universality class. \textcopyright{} 1996 The American Physical Society.

Barry M. McCoy

Wang Chun-an

The critical temperature of the paramagnetic-ferromagnetic phase transition on the Ising model of the square lattice is studied by means of the Monte Carlo method.The Glauber and Kawasaki dynamics are considered in the calculation for the stochastic and sequent processes and their effects on the critical temperatures are discussed.It's shown that the critical temperature can be calculated in the stochastic and sequent processes when the Glauber dynamic is in the lead.But only in the stochastic process the critical temperature can be calculated when the Kawasaki dynamic is in the lead.

F. Mancini

Shiming Wu, Zhao‐Di Yang, Qin Yong

The bond-moving and decimation renormalization group techniques are applied to obtaining the critical dynamic exponent of the Kawasaki-Ising model on square lattice. The result is found to be , where , is the critical dynamic exponent of the Glauber model on the same lattice. We guess that the relation may be valid for all -dimensional systems with .