Gibbs-non-Gibbs properties for n-vector lattice and mean-field models

TL;DR

This paper reviews recent advances in understanding Gibbs and non-Gibbs properties of n-vector lattice and mean-field models, including new results on their behavior during stochastic evolution.

Contribution

It provides a comprehensive review and introduces new findings on the loss and recovery of Gibbs properties in planar rotor models under stochastic dynamics.

Findings

Identification of conditions for Gibbs property loss and recovery

New results on stochastic time evolution effects in planar rotor models

Enhanced understanding of phase transitions in n-vector models

Abstract

We review some recent developments in the study of Gibbs and non-Gibbs properties of transformed n-vector lattice and mean-field models under various transformations. Also, some new results for the loss and recovery of the Gibbs property of planar rotor models during stochastic time evolution are presented.