Nonequilibrium phase transition in the kinetic Ising model: Critical slowing down and the specific-heat singularity

Acharyya, Muktish (1997) Nonequilibrium phase transition in the kinetic Ising model: Critical slowing down and the specific-heat singularity. In: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 56 (3). pp. 2407-2411.

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Abstract

The nonequilibrium dynamic phase transition, in the kinetic Ising model in the presence of an oscillating magnetic field has been studied both by Monte Carlo simulation and by solving numerically the mean-field dynamic equation of motion for the average magnetization. In both cases, the Debye ''relaxation'' behavior of the dynamic order parameter has been observed and the ''relaxation time'' is found to diverge near the dynamic transition point. The Debye relaxation of the dynamic order parameter and the power law divergence of the relaxation time have been obtained from a very approximate solution of the mean-field dynamic equation. The temperature variation of appropriately defined ''specific heat'' is studied by the Monte Carlo simulation near the transition point. The specific heat has been observed to diverge near the dynamic transition point.

Item Type:	Journal Article
Publication:	Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Publisher:	The American Physical Society
Additional Information:	Copyright of this article belongs to The American Physical Society.
Department/Centre:	Division of Physical & Mathematical Sciences > Physics
Date Deposited:	04 Aug 2011 07:02
Last Modified:	04 Aug 2011 07:02
URI:	http://eprints.iisc.ac.in/id/eprint/38322

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