Mathematical Theory of the Wetting Phenomenon in the 2D Ising Model
C.E.Pfister, Y.Velenik
TL;DR
This paper develops a rigorous mathematical framework for understanding the wetting phenomenon in the 2D Ising model, employing Gibbs states to analyze behavior in different statistical ensembles.
Contribution
It introduces a formal mathematical theory of wetting in the 2D Ising model, covering both grand canonical and canonical ensembles for the first time.
Findings
Provides a rigorous description of wetting transitions
Analyzes the model in both grand canonical and canonical ensembles
Lays groundwork for future mathematical studies of phase phenomena
Abstract
We give a mathematical theory of the wetting phenomenon in the 2D Ising model using the formalism of Gibbs states. We treat the grand canonical and canonical ensembles.
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Taxonomy
TopicsTheoretical and Computational Physics · Stochastic processes and statistical mechanics · nanoparticles nucleation surface interactions