Correlations and structure of interfaces in the Ising model. Theory and numerics

Abstract

We consider phase separation on the strip for the two-dimensional Ising model in the near-critical region. Within the framework of field theory, we find exact analytic results for certain two- and three-point correlation functions of the order parameter field. The analytic results for order parameter correlations, energy density profile, subleading corrections and passage probability density of the interface are confirmed by accurate Monte Carlo simulations we performed.

arXiv comment42 pages, 19 figures

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Cited by in corpus (5)

• 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
• Structure of liquid--vapor interfaces: perspectives from liquid state theory, large-scale simulations, and potential grazing-incidence X-ray diffraction
• Thermodynamically Consistent Phase-Field Theory Including Nearest-Neighbor Pair Correlations Explains Failure of Mean-Field Reasoning
• Mass of quantum topological excitations and order parameter finite size dependence