Domain Coarsening in 2-d Ising Model: Finite-Size Scaling for Conserved Dynamics

2010/01/22 by Suman Majumder, Majumder, Suman, Subir K. Das +1
Mathematics · Physics and Astronomy · #Complex Network Analysis Techniques #FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.stat-mech

paper · pdf · doi:10.48550/arxiv.1001.3985

4 pages, 4 figures

arxiv created 2010/01/22 · openalex publication_date 2010/01/22 · arxiv updated 2010/02/26 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We quantify the effect of system size in the kinetics of domain growth in Ising model with 50:50 composition in two spatial dimensions. Our estimate of the exponent, α=0.334±0.004, for the power law growth of linear domain size, from Monte Carlo simulation using small systems of linear dimensions L=16, 32, 64, and 128, is in excellent agreement with the prediction of Lifshitz-Slyozov (LS) theory, α=1/3. We find that the LS exponent sets in very early and continues to be true until average size of domains reaches three quarters of equilibrium limit.

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