Nonequilibrium phase transition in an Ising model without detailed balance

Kumar, M and Dasgupta, C (2020) Nonequilibrium phase transition in an Ising model without detailed balance. In: Physical Review E, 102 (5).

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Abstract

We study a two-dimensional ferromagnetic Ising model in which spins are updated using modified versions of the Metropolis and Glauber algorithms. These update rules do not obey the detailed balance condition. The steady-state behavior of the model is studied using molecular field theory and Monte Carlo simulations. This model is found to exhibit a nonequilibrium phase transition from a "paramagnetic"state with zero magnetization to a "ferromagnetic"state with nonzero magnetization as the variable that plays the role of temperature in the spin updates is decreased. From detailed Monte Carlo simulations using the modified Metropolis algorithm, we demonstrate explicitly the nonequilibrium nature of the transition and show that it cannot be described as an equilibrium transition with an effective temperature different from the temperature used in the spin updates. The critical exponents that characterize the singular behavior near this continuous phase transition are calculated from finite size scaling of specific heat, magnetization, susceptibility, and correlation length. We find that the values of these exponents are the same (within error bars) as those of the equilibrium Ising model in two dimensions. © 2020 American Physical Society.

Item Type:	Journal Article
Publication:	Physical Review E
Publisher:	American Physical Society
Additional Information:	The Copyright of this article belongs to American Physical Society
Keywords:	Ferromagnetic materials; Ferromagnetism; Ising model; Magnetization; Specific heat, Continuous phase transitions; Effective temperature; Equilibrium transitions; Ferromagnetic Ising models; Metropolis algorithms; Molecular field theory; Nonequilibrium phase transitions; Steady-state behaviors, Monte Carlo methods
Department/Centre:	Division of Physical & Mathematical Sciences > Physics
Date Deposited:	10 Feb 2021 06:32
Last Modified:	10 Feb 2021 06:32
URI:	http://eprints.iisc.ac.in/id/eprint/67310

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