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arxiv: 0709.3228 · v1 · submitted 2007-09-20 · ❄️ cond-mat.stat-mech · cond-mat.dis-nn· hep-th· math-ph· math.MP

Phase-ordering kinetics of two-dimensional disordered Ising models

classification ❄️ cond-mat.stat-mech cond-mat.dis-nnhep-thmath-phmath.MP
keywords scalingdisorderfunctionsgeneralisedisingkineticsphase-orderingtwo-dimensional
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The phase-ordering kinetics of the ferromagnetic two-dimensional Ising model with uniform disorder is investigated by intensive Monte Carlo simulations. Taking into account finite-time corrections to scaling, simple ageing behaviour is observed in the two-time responses and correlators. The dynamical exponent z and the form of the scaling functions only depend on the ratio eps/T, where eps describes the width of the distribution of the disorder. The agreement of the predictions of local scale-invariance generalised to z<> 2 for the two-time scaling functions of response and correlations with the numerical data provides a direct test of generalised Galilei-invariance.

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