Competing Glauber and Kawasaki Dynamics

Details Competing Glauber and Kawasaki Dynamics Competing Glauber and Kawasaki Dynamics

1998-08-17

arxiv.org/abs/cond-mat/9808172v1

Int. J. of Mod. Phys. B 12 (1998) 2385

Physics

Condensed Matter

Statistical Mechanics

9 pages, Revtex

Scientific paper

10.1142/S0217979298001393

Using a quantum formulation of the master equation we study a kinetic Ising model with competing stochastic processes: the Glauber dynamics with probability $p$ and the Kawasaki dynamics with probability $1 - p$. Introducing explicitely the coupling to a heat bath and the mutual static interaction of the spins the model can be traced back exactly to a Ginzburg Landau functional when the interaction is of long range order. The dependence of the correlation length on the temperature and on the probability $p$ is calculated. In case that the spins are subject to flip processes the correlation length disappears for each finite temperature. In the exchange dominated case the system is strongly correlated for each temperature.

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