Non-Markovian persistence in the diluted Ising model at criticality

Theoretische Physik, Universität des Saarlandes - 66041 Saarbrücken, Germany

Received: 20 July 2005
Accepted: 3 October 2005

Abstract

We investigate global persistence properties for the non-equilibrium critical dynamics of the randomly diluted Ising model. The disorder-averaged persistence probability of the global magnetization is found to decay algebraically with an exponent that we compute analytically in a dimensional expansion in . Corrections to Markov process are found to occur already at one loop order and is thus a novel exponent characterizing this disordered critical point. Our result is thoroughly compared with Monte Carlo simulations in , which also include a measurement of the initial slip exponent. Taking carefully into account corrections to scaling, is found to be universal, independent of the dilution factor p along the critical line at , and in good agreement with our one-loop calculation.