Exact field-driven interface dynamics in the two-dimensional stochastic Ising model with helicoidal boundary conditions
arXiv:1207.0568 · doi:10.1016/j.physa.2012.07.069
Abstract
We investigate the interface dynamics of the two-dimensional stochastic Ising model in an external field under helicoidal boundary conditions. At sufficiently low temperatures and fields, the dynamics of the interface is described by an exactly solvable high-spin asymmetric quantum Hamiltonian that is the infinitesimal generator of the zero range process. Generally, the critical dynamics of the interface fluctuations is in the Kardar-Parisi-Zhang universality class of critical behavior. We remark that a whole family of RSOS interface models similar to the Ising interface model investigated here can be described by exactly solvable restricted high-spin quantum XXZ-type Hamiltonians.
LaTeX2e, 15 pages, 1 figure, 40 references. This paper is dedicated to Professor Silvio R. A. Salinas (IF/USP) on the occasion of his 70th birthday
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