1207.0568 (J. Ricardo G. Mendonça)

Exact field-driven interface dynamics in the two-dimensional stochastic
Ising model with helicoidal boundary conditions    [PDF]

J. Ricardo G. Mendonça

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. 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.

View original: http://arxiv.org/abs/1207.0568