Ultraslow Growth of Domains in a Random-Field System With Correlated Disorder

Subhanker Howlader; Prasenjit Das; Manoj Kumar

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arXiv · 2505.06873

Ultraslow Growth of Domains in a Random-Field System With Correlated Disorder

Subhanker Howlader·Prasenjit Das·Manoj Kumar

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Abstract

We study domain growth kinetics in a random-field system in the presence of a spatially correlated disorder $h_{i}(\vec r)$ after an instantaneous quench at a finite temperature $T$ from a random initial state corresponding to $T=\infty$. The correlated disorder field $h_{i}(\vec r)$ arises due to the presence of magnetic impurities, decaying spatially in a power-law fashion. We use Glauber spin-flip dynamics to simulate the kinetics at the microscopic level. The system evolves via the formation of ordered magnetic domains. We characterize the morphology of domains using the equal-time correlation function $C(r,t)$ and structure factor $S(k,t)$. In the large-$k$ limit, $S(k, t)$ obeys Porod's law: $S(k, t)\sim k^{-(d+1)}$. The average domain size $L(t)$ asymptotically follows \textit{double logarithmic growth behavior}.

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Subhanker Howlader, Prasenjit Das, Manoj Kumar. 2025-05-11. Ultraslow Growth of Domains in a Random-Field System With Correlated Disorder. https://arxiv.org/abs/2505.06873

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