Dynamics of field-driven interfaces in the two-dimensional Ising model

Barma, M. (1992) Dynamics of field-driven interfaces in the two-dimensional Ising model Journal of Physics A: Mathematical and General, 25 (11). ISSN 0305-4470

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Official URL: http://iopscience.iop.org/0305-4470/25/11/013

Related URL: http://dx.doi.org/10.1088/0305-4470/25/11/013

Abstract

The time-dependent properties of an inclined interface separating up and down spin regions in a two-dimensional nearest-neighbour Ising model evolving under Glauber dynamics in a non-zero field are studied. In the limit of large exchange coupling, the model reduces to the single-step model for ballistic growth and thence to the asymmetric exclusion process which describes a driven diffusive system of hard core particles on a one-dimensional lattice. The drift velocity of the interface is found as a function of field, temperature and inclination, and interface correlation functions are related to sliding tag correlation functions in the particle system. The existence of a critical value of the sliding-tag velocity implies that there is an inclination-dependent easy direction along which temporal interface fluctuations grow subdiffusively. This direction is found, as is the asymptotic behaviour of the correlation function in all other directions.

Item Type:Article
Source:Copyright of this article belongs to Institute of Physics.
ID Code:1503
Deposited On:05 Oct 2010 12:22
Last Modified:13 May 2011 08:27

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