# Growth Law and Superuniversality in the Coarsening of Disordered Ferromagnets

Source: [Growth Law and Superuniversality in the Coarsening of Disordered Ferromagnets](<https://www.sota2.com/research/paper/68fa2a581e209131ce83d1bd>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T13:31:35.196Z

Authors: F.Corberi, E.Lippiello, A.Mukherjee, S.Puri, M.Zannetti

Published: 2010-10-14T15:25:25.000Z

## Abstract

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.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1010.2951>)

[PDF](<https://arxiv.org/pdf/1010.2951.pdf>)