# Domain Growth in Ising Systems with Quenched Disorder

Source: [Domain Growth in Ising Systems with Quenched Disorder](<https://www.sota2.com/research/paper/68fa26df2c2a3760193be20a>)

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

Data updated: 2025-10-24T11:40:29.716Z

Authors: Raja Paul, Sanjay Puri, Heiko Rieger

Published: 2005-02-23T11:31:25.000Z

## Abstract

We present results from extensive Monte Carlo (MC) simulations of domain growth in ferromagnets and binary mixtures with quenched disorder. These are modeled by the "random-bond Ising model" and the "dilute Ising model" with either nonconserved (Glauber) spin-flip kinetics or conserved (Kawasaki) spin-exchange kinetics. In all cases, our MC results are consistent with power-law growth with an exponent $\\theta (T,\\epsilon)$ which depends on the quench temperature $T$ and the disorder amplitude $\\epsilon$. Such exponents arise naturally when the coarsening domains are trapped by energy barriers which grow logarithmically with the domain size. Our MC results show excellent agreement with the predicted dependence of $\\theta (T,\\epsilon)$.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/0502541>)

[PDF](<https://arxiv.org/pdf/cond-mat/0502541.pdf>)