Dynamic Phase Transition and Hysteresis in Kinetic Ising Models

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dc.creatorRikvold, P. A.
dc.creatorKorniss, G.
dc.creatorWhite, C. J.
dc.creatorNovotny, M. A.
dc.creatorSides, S. W.
dc.date1999-04-01
dc.date1999-04-05
dc.date.accessioned2026-07-07T03:13:10Z
dc.date.available2026-07-07T03:13:10Z
dc.descriptionWe briefly introduce hysteresis in spatially extended systems and the dynamic phase transition observed as the frequency of the oscillating field increases beyond a critical value. Hysteresis and the decay of metastable phases are closely related phenomena, and a dynamic phase transition can occur only for field amplitudes, temperatures, and system sizes at which the metastable phase decays through nucleation and growth of many droplets. We present preliminary results from extensive Monte Carlo simulations of a two-dimensional kinetic Ising model in a square-wave oscillating field and estimate critical exponents by finite-size scaling techniques adapted from equilibrium critical phenomena. The estimates are consistent with the universality class of the two-dimensional equilibrium Ising model and inconsistent with two-dimensional random percolation. However, we are not aware of any theoretical arguments indicating why this should be so. Thus, the question of the universality class of this nonequilibrium critical phenomenon remains open.
dc.descriptionLaTex 17 pages, including eps and ps figures. Submitted for inclusion in Computer Simulation Studies in Condensed Matter Physics XII, edited by D.P. Landau, et al. (Springer, Heidelberg, in press) Revision only changes misprints in bibliographic information
dc.identifierhttps://arxiv.org/abs/cond-mat/9904028
dc.identifierhttp://arxiv.org/abs/cond-mat/9904028
dc.identifierComputer Simulation Studies in Condensed Matter Physics XII, edited by D.P. Landau, et al., Springer Proceedings in Physics Vol. 85 (Springer, Berlin, 2000), pp. 105-119.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/29194
dc.subjectStatistical Mechanics
dc.subjectChaotic Dynamics
dc.subjectMaterials Science
dc.titleDynamic Phase Transition and Hysteresis in Kinetic Ising Models
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