Particles, string and interface in the three-dimensional Ising model
Statistical Mechanics
2020-08-17 v2 High Energy Physics - Lattice
High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We consider the three-dimensional Ising model slightly below its critical temperature, with boundary conditions leading to the presence of an interface. We show how the interfacial properties can be deduced starting from the particle modes of the underlying field theory. The product of the surface tension and the correlation length yields the particle density along the string whose propagation spans the interface. We also determine the order parameter and energy density profiles across the interface, and show that they are in complete agreement with Monte Carlo simulations that we perform.
Cite
@article{arxiv.1906.03176,
title = {Particles, string and interface in the three-dimensional Ising model},
author = {Gesualdo Delfino and Walter Selke and Alessio Squarcini},
journal= {arXiv preprint arXiv:1906.03176},
year = {2020}
}