Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2010-10-14
Journal of Statistical Mechanics: Theory and Experiments (2011) P03016
Physics
Condensed Matter
Statistical Mechanics
Thoroughly revised manuscript. The Introduction, Section 2 and Section 4 have been largely rewritten. References added. Final
Scientific paper
10.1088/1742-5468/2011/03/P03016
We present comprehensive numerical results for domain growth in the two-dimensional {\it Random Bond Ising Model} (RBIM) with nonconserved Glauber kinetics. We characterize the evolution via the {\it domain growth law}, and two-time quantities like the {\it autocorrelation function} and {\it autoresponse function}. Our results clearly establish that the growth law shows a crossover from a pre-asymptotic regime with "power-law growth with a disorder-dependent exponent" to an asymptotic regime with "logarithmic growth". We compare this behavior with previous results on one-dimensional disordered systems and we propose a unifying picture in a renormalization group framework. We also study the corresponding crossover in the scaling functions for the two-time quantities. Super-universality is found not to hold. Clear evidence supporting the dimensionality dependence of the scaling exponent of the autoresponse function is obtained.
Corberi Federico
Lippiello Eugenio
Mukherjee Antara
Puri Sanjay
Zannetti Marco
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