Journal
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
Volume -, Issue -, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1742-5468/2011/03/P03016
Keywords
coarsening processes (theory); disordered systems (theory); slow dynamics and ageing (theory)
Categories
Funding
- PRIN
- Jawaharlal Nehru Institute of Advanced Study
- School of Physical Sciences of the Jawaharlal Nehru University
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We present comprehensive numerical results for domain growth in the two-dimensional random bond Ising model (RBIM) with non-conserved Glauber kinetics. We characterize the evolution via the domain growth law, and two-time quantities like the autocorrelation function and autoresponse function. Our results show evidence for the 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. Superuniversality is found not to hold. Clear evidence supporting the dimensionality dependence of the scaling exponent of the autoresponse function is obtained.
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