We study the steady-state structure and dynamics of a 2-d Ising interface placed in an inhomogeneous external field with a sigmoidal profile which moves with velocity ve. In the strong coupling limit, the problem maps onto an asymmetric exclusion process involving motion of particles in 1-d with...

We have determined exactly the ground-state phase diagrams of the ABpC1−p ternary alloy consisting of Ising spins SA=32,SB=1, and SC=52 in the presence of a single-ion anisotropy. We have found that the ground-state phase diagrams include totally thirteen different ordered phases and one...

In this talk, we briefly comment on Sweeny and Gliozzi methods, cluster Monte Carlo method, and recent transition matrix Monte Carlo for Potts models. We mostly concentrate on a new algorithm known as ‘binary tree summation’. Some of the most interesting features of this method will be...

In their comment to the paper “Theory of the evaporation/condensation transition of equilibrium droplets in finite volumes” [Physica A 319 (2003) 99], Biskup et al. claim that in finite systems at fixed density “the physical significance of the conjugate thermodynamic variable is of...

A phenomenological theory of phase coexistence of finite systems near the coexistence curve that occurs in the thermodynamic limit is formulated for the generic case of d-dimensional ferromagnetic Ising lattices of linear dimension L with magnetization m slightly less than mcoex. It is argued...