Microstructure and velocity of field-driven Ising interfaces moving under a soft stochastic dynamic

TL;DR

This paper investigates the microscopic structure and mobility of 1+1-dimensional Ising interfaces under a soft stochastic dynamic, revealing differences from hard dynamics in interface width and skewness through theoretical and Monte Carlo simulation analyses.

Contribution

It extends previous studies by analyzing the Ising model with a soft dynamic, showing its similarities to the SOS model and contrasting behaviors with hard dynamics.

Findings

Interface width remains finite at high fields.

Weak skewness with opposite sign compared to hard dynamics.

Soft dynamic properties resemble those of the SOS model.

Abstract

We present theoretical and dynamic Monte Carlo simulation results for the mobility and microscopic structure of 1+1-dimensional Ising interfaces moving far from equilibrium in an applied field under a single-spin-flip ``soft'' stochastic dynamic. The soft dynamic is characterized by the property that the effects of changes in field energy and interaction energy factorize in the transition rate, in contrast to the nonfactorizing nature of the traditional Glauber and Metropolis rates (``hard'' dynamics). This work extends our previous studies of the Ising model with a hard dynamic and the unrestricted SOS model with soft and hard dynamics. [P.A. Rikvold and M. Kolesik, J. Stat. Phys. 100, 377 (2000); J. Phys. A 35, L117 (2002); Phys. Rev. E 66, 066116 (2002).] The Ising model with soft dynamics is found to have closely similar properties to the SOS model with the same dynamic. In particular, the local interface width does not diverge with increasing field, as it does for hard dynamics. The skewness of the interface at nonzero field is very weak and has the opposite sign of that obtained with hard dynamics.