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arXiv · 2111.10118

Asymptotic States of Ising Ferromagnets with Long-range Interactions

Ramgopal Agrawal·Federico Corberi·Ferdinando Insalata·Sanjay Puri
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Abstract

It is known that, after a quench to zero temperature ($T=0$), two-dimensional ($d=2$) Ising ferromagnets with short-range interactions do not always relax to the ordered state. They can also fall in infinitely long-lived striped metastable states with a finite probability. In this paper, we study how the abundance of striped states is affected by long-range interactions. We investigate the relaxation of $d=2$ Ising ferromagnets with power-law interactions by means of Monte Carlo simulations at both $T=0$ and $T \ne 0$. For $T=0$ and the finite system size, the striped metastable states are suppressed by long-range interactions. In the thermodynamic limit, their occurrence probabilities are consistent with the short-range case. For $T \ne 0$, the final state is always ordered. Further, the equilibration occurs at earlier times with an increase in the strength of the interactions.

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Ramgopal Agrawal, Federico Corberi, Ferdinando Insalata, Sanjay Puri. 2021-11-19. Asymptotic States of Ising Ferromagnets with Long-range Interactions. https://doi.org/10.1103/physreve.105.034131

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