Mean-field and Monte Carlo studies of the magnetization-reversal transition in the Ising model

Misra, Arkajyoti ; Chakrabarti, Bikas K. (2000) Mean-field and Monte Carlo studies of the magnetization-reversal transition in the Ising model Journal of Physics A: Mathematical and general, 33 (23). pp. 4249-4264. ISSN 0305-4470

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Official URL: http://iopscience.iop.org/0305-4470/33/23/303

Related URL: http://dx.doi.org/10.1088/0305-4470/33/23/303

Abstract

Detailed mean-field and Monte Carlo studies of the dynamic magnetization-reversal transition in the Ising model in its ordered phase under a competing external magnetic field of finite duration have been presented here. An approximate analytical treatment of the mean-field equations of motion shows the existence of diverging length and time scales across this dynamic transition phase boundary. These are also supported by numerical solutions of the complete mean-field equations of motion and the Monte Carlo study of the system evolving under Glauber dynamics in both two and three dimensions. Classical nucleation theory predicts different mechanisms of domain growth in two regimes marked by the strength of the external field, and the nature of the Monte Carlo phase boundary can be comprehended satisfactorily using the theory. The order of the transition changes from a continuous to a discontinuous one as one crosses over from coalescence regime (stronger field) to a nucleation regime (weaker field). Finite-size scaling theory can be applied in the coalescence regime, where the best-fit estimates of the critical exponents are obtained for two and three dimensions.

Item Type:Article
Source:Copyright of this article belongs to American Institute of Physics.
ID Code:5895
Deposited On:19 Oct 2010 10:20
Last Modified:16 May 2016 16:20

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