Ultraslow growth of domains in a random-field system with correlated disorder

Subhanker Howlader, Prasenjit Das and Manoj Kumar

Physica A: Statistical Mechanics and its Applications, 2025, vol. 674, issue C

Abstract: We study domain growth kinetics in a random-field system in the presence of a spatially correlated disorder hi(r→) after an instantaneous quench at a finite temperature T from a random initial state corresponding to T=∞. The correlated disorder field hi(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)∼k−(d+1). The average domain size L(t) asymptotically follows double logarithmic growth behavior.

Keywords: Domain growth; Spin systems; Monte–Carlo simulation; Ferromagnets (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:674:y:2025:i:c:s0378437125003401

DOI: 10.1016/j.physa.2025.130688

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