Non-Markovian persistence in the diluted Ising model at criticalityR. Paul and G. Schehr
Theoretische Physik, Universität des Saarlandes - 66041 Saarbrücken, Germany
received 20 July 2005; accepted in final form 3 October 2005
published online 28 October 2005
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 d=3, 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 Tc(p), and in good agreement with our one-loop calculation.
05.70.Jk - Critical point phenomena.
05.50.+q - Lattice theory and statistics (Ising, Potts, etc.).
75.10.Nr - Spin-glass and other random models.
© EDP Sciences 2005