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

Source: [Domain Coarsening in 2-d Ising Model: Finite-Size Scaling for Conserved Dynamics](<https://www.sota2.com/research/paper/68fa28f41e209131ce82f765>)

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

Data updated: 2025-10-24T12:33:43.513Z

Authors: Suman Majumder, Subir K. Das

Published: 2010-01-22T13:22:14.000Z

## 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, $\\alpha=0.334\\pm0.004$, 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, $\\alpha=1/3$. 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.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1001.3985>)

[PDF](<https://arxiv.org/pdf/1001.3985.pdf>)