Competing Glauber and Kawasaki Dynamics.pdfVIP

Competing Glauber and Kawasaki Dynamics 8 9 Simone Artz and Steffen Trimper 9 Fachbereich Physik 1 Martin-Luther-Universit¨at g u D-06099 Halle Germany A (February 1, 2008) 7 1 ] Abstract h c e m Using a quantum formulation of the master equation we study a kinetic t- Ising model with competing stochastic processes: the Glauber dynamics with a probability p and the Kawasaki dynamics with probability 1 −p . Introducing t s . explicitely the coupling to a heat bath and the mutual static interaction of the t a spins the model can be traced back exactly to a Ginzburg Landau functional m when the interaction is of long range order. The dependence of the correla- - d tion length on the temperature and on the probability p is calculated. In case n that the spins are subject to flip processes the correlation length disappears o c for each finite temperature. In the exchange dominated case the system is [ strongly correlated for each temperature. 1 v 2 7 1 8 05.40.+j, 05.50.+q, 64.60.Ht,82.20.Mj 0 8 9 / t a m - d n o c : v i X r a Typeset using REVT X E 1 I. INTRODUCTION The time evolution of nonequilibrium Ising spin systems is of interest in particular when