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arXiv · 1001.3985

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

Suman Majumder·Subir K. Das
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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, $α=0.334\pm0.004$, 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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Suman Majumder, Subir K. Das. 2010-01-22. Domain Coarsening in 2-d Ising Model: Finite-Size Scaling for Conserved Dynamics. https://arxiv.org/abs/1001.3985

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