Correlations and structure of interfaces in the Ising model: theory and numerics. (13th August 2021)

• Record Type: Journal Article
• Authors: Squarcini, Alessio; Tinti, Antonio
• Is Part Of: Journal of statistical mechanics. (2021:Aug.)
• Publication Date: 2021-08-13
• Subjects: classical Monte Carlo simulations -- classical phase transitions -- exact results -- wetting; Statistical mechanics -- Periodicals; Mechanics -- Statistical methods -- Periodicals; 530.1305
• DOI: 10.1088/1742-5468/ac1407
• Languages: English
• ISSNs: 1742-5468

Abstract

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.