Growth Law and Superuniversality in the coarsening of disordered ferromagnets

Corberi, F. ; Lippiello, E. ; Mukherjee, A. ; Puri, S. ; Zannetti, M. (2011) Growth Law and Superuniversality in the coarsening of disordered ferromagnets Journal of Statistical Mechanics: Theory and Experiment (3). No pp. given. ISSN 1742-5468

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Official URL: http://iopscience.iop.org/1742-5468/2011/03/P03016

Related URL: http://dx.doi.org/10.1088/1742-5468/2011/03/P03016

Abstract

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.

Item Type:Article
Source:Copyright of this article belongs to Institute of Physics.
Keywords:Slow Dynamics and Ageing (Theory); Coarsening Processes (Theory); Disordered Systems (Theory)
ID Code:77204
Deposited On:10 Jan 2012 11:35
Last Modified:18 May 2016 20:34

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