Dresden 2006 – wissenschaftliches Programm
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DY: Dynamik und Statistische Physik
DY 46: Poster
DY 46.121: Poster
Donnerstag, 30. März 2006, 16:00–18:00, P1
Non-Markovian Persistence in the diluted Ising model at criticality — •gregory schehr1 and raja paul2 — 1Theoretische Physik, Universität Saarbrücken — 2BIOMS, IWR, Ruprecht-Karls-University Heidelberg,
We investigate global persistence properties for the non-equilibrium critical dynamics of the randomly diluted Ising model. The disorder averaged persistence probability P_c(t) of the global magnetization is found to decay algebraically with an exponent θc that we compute analytically in a dimensional expansion in d=4−є. Corrections to Markov process are found to occur already at one loop order and θc 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, θc is found to be a universal exponent, independent of the dilution factor p along the critical line at Tc(p), and in good agreement with our one loop calculation.