Two-temperature nonequilibrium Ising models: Critical behavior and universality

Journal Article · Tue Nov 01 00:00:00 EST 1994 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States)

DOI:https://doi.org/10.1103/PhysRevE.50.3474· OSTI ID:7098710

Tamayo, P ^[1]; Alexander, F J ^[2]; Gupta, R ^[3]

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1. Theoretical Division, Los Alamos National Laboratory, MS-B285, Los Alamos, New Mexico 87545 (United States) Thinking Machines Corp., 245 First Street, Cambridge, Massachusetts 02142 (United States)
2. Center for Nonlinear Studies, Los Alamos National Laboratory, MS-B258, Los Alamos, New Mexico 87545 (United States)
3. Theoretical Division, Los Alamos National Laboratory, MS-B285, Los Alamos, New Mexico 87545 (United States)

We study a class of two-dimensional (2D) nonequilibrium Ising models based on competing dynamics induced by contact with heat baths at two different temperatures. We make a comparative study of the nonequilibrium versions of Metropolis, heat bath--Glauber, and Swendsen-Wang dynamics, and focus on their critical behavior in order to understand their universality classes. We present strong evidence that some of these dynamics have the same critical exponents, and belong to the same universality class as the equilibrium 2D Ising model. We show that the bond version of the Swendsen-Wang update algorithm can be mapped into an equilibrium model at an effective temperature.

• OSTI ID: 7098710
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States), Vol. 50:5; ISSN 1063-651X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ISING MODEL
COMPARATIVE EVALUATIONS
ALGORITHMS
MAPPING
MONTE CARLO METHOD
SPIN FLIP
TEMPERATURE RANGE
TWO-DIMENSIONAL CALCULATIONS
CALCULATION METHODS
CRYSTAL MODELS
EVALUATION
MATHEMATICAL LOGIC
MATHEMATICAL MODELS
661300* - Other Aspects of Physical Science- (1992-)