The statistical properties of the interfaces for the lattice Widom–Rowlinson model

We investigate the statistical properties of the fluctuations of the phase interfaces that separate two phases of the two-dimensional lattice Widom–Rowlinson model. When the chemical potential μμ of the W–R model is large enough, we discuss the probability distributions which describe the fluctuations of the phase interfaces, and show the corresponding central limit theory for the two-dimensional lattice W–R model.