Finite-dimensional signature of spinodal instability in an athermal hysteretic transition

Anurag Banerjee; Tapas Bar

doi:10.1103/physrevb.107.024103

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arXiv · 2210.04057

Finite-dimensional signature of spinodal instability in an athermal hysteretic transition

Anurag Banerjee·Tapas Bar

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Abstract

We study the off-equilibrium critical phenomena across a hysteretic first-order transition in disordered athermal systems. The study focuses on the zero temperature random field Ising model (ZTRFIM) above the critical disorder for spatial dimensions $d=2,3,$ and $4$. We use Monte Carlo simulations to show that disorder suppresses critical slowing down in phase ordering time for finite-dimensional systems. The dynamic hysteresis scaling, the measure of explicit finite-time scaling, is used to subsequently quantify the critical slowing down. The scaling exponents in all dimensions increase with disorder strength and finally reach a stable value where the transformation is no longer critical. The associated critical behavior in the mean-field limit is very different, where the exponent values for various disorders in all dimensions are similar. The non-mean-field exponents asymptotically approach the mean-field value ($\Upsilon \approx 2/3$) with increase in dimensions. The results suggest that the critical features in the hysteretic metastable phase are controlled by inherent mean-field spinodal instability that gets blurred by disorder in low-dimension athermal systems.

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BibTeX RIS

Anurag Banerjee, Tapas Bar. 2022-10-08. Finite-dimensional signature of spinodal instability in an athermal hysteretic transition. https://doi.org/10.1103/physrevb.107.024103

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