English

The two-dimensional 4-state Potts model in a magnetic field

High Energy Physics - Lattice 2014-09-23 v1 Statistical Mechanics

Abstract

We present a solution of the non-linear renormalization group equations leading to the dominant and subdominant singular behaviours of physical quantities (free energy density, correlation length, internal energy, specific heat, magnetization, susceptibility and magnetocaloric coefficient) at the critical temperature in a non- vanishing magnetic field. The solutions i) lead to exact cancellation of logarithmic corrections in universal amplitude ratios and ii) prove recently proposed relations among logarithmic exponents.

Keywords

Cite

@article{arxiv.1301.5219,
  title  = {The two-dimensional 4-state Potts model in a magnetic field},
  author = {Bertrand Berche and Paolo Butera and Lev Shchur},
  journal= {arXiv preprint arXiv:1301.5219},
  year   = {2014}
}
R2 v1 2026-06-21T23:13:34.262Z