Abstract
A study is made of the low-temperature interfacial properties of a driven system with a single conserved density whose bulk properties were first analyzed, using computer simulations, by Katz, Lebowitz, and Spohn in 1983. The system corresponds to a nearest neighbor interacting lattice gas of charged particles (henceconserved order parameter), which are acted upon by a uniform, constant external electric fieldE. Starting from a bulk kinetic equation, an integral equation for the interface is derived. Nonlocal coupling between different parts of the interface arises from local particle conservation. The interface at any angle is shown to be stable against small deformations ofall wavelengths that are large compared to the interfacial width. However, the relaxation rateω(k) for the interface exhibits a strongorientational dependence, which can be understood in terms of the modification of nonlocality byE. The wandering of the interface is considered. Also, the possible stabilizing effect of periodic boundary conditions on the orientation toward the direction ofE is discussed.
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Leung, Kt. Interfacial properties of a driven diffusive system. J Stat Phys 50, 405–437 (1988). https://doi.org/10.1007/BF01023001
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DOI: https://doi.org/10.1007/BF01023001