Structure of interfaces at phase coexistence. Theory and numerics

Abstract

We compare results of the exact field theory of phase separation in two dimensions with Monte Carlo simulations for the $q$-state Potts model with boundary conditions producing an interfacial region separating two pure phases. We confirm in particular the theoretical predictions that below critical temperature the surplus of non-boundary colors appears in drops along a single interface, while for $q>4$ at critical temperature there is formation of two interfaces enclosing a macroscopic disordered layer. These qualitatively different structures of the interfacial region can be discriminated through a measurement at a single point for different system sizes.

arXiv comment9 pages, 5 figures; published version

References in corpus (12)

• Universal amplitude ratios in the two-dimensional $q$-state Potts model and percolation from quantum field theory
• Fluctuation theory of connectivities for subcritical random cluster models
• Phase separation in a wedge. Exact results
• Phase separation and interface structure in two dimensions from field theory
• Exact theory of intermediate phases in two dimensions
• Wetting and interfacial adsorption in the Blume-Capel model on the square lattice
• The Field Theory of the q->4+ Potts Model
• On superuniversality in the $q$-state Potts model with quenched disorder
• Multiple phases and vicious walkers in a wedge
• Long range correlations generated by phase separation. Exact results from field theory
• Interface localization near criticality
• Interfacial adsorption in Potts models on the square lattice

Cited by in corpus (6)

• Vortex mass in the three-dimensional $O(2)$ scalar theory
• Correlations and structure of interfaces in the Ising model. Theory and numerics
• Multipoint correlation functions at phase separation. Exact results from field theory
• Four-point interfacial correlation functions in two dimensions. Exact results from field theory and numerical simulations
• Monte Carlo study of the interfacial adsorption of the Blume-Capel model
• Condensation of Fluctuations in the Ising Model: a Transition without Spontaneous Symmetry Breaking