Volume 72, Number 5, December 2005
|719 - 725
|28 October 2005
Non-Markovian persistence in the diluted Ising model at criticality
Theoretische Physik, Universität des Saarlandes - 66041 Saarbrücken, Germany
Accepted: 3 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 , 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.
PACS: 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
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