Correlations and structure of interfaces in the Ising model: theory and numerics

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 paramete...

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Bibliographic Details
Published in:Journal of statistical mechanics 2021-08, Vol.2021 (8), p.83209
Main Authors: Squarcini, Alessio, Tinti, Antonio
Format: Article
Language:English
Subjects:
classical Monte Carlo simulations
classical phase transitions
exact results
wetting
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Summary: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.
ISSN:1742-5468
1742-5468
DOI:10.1088/1742-5468/ac1407