First-Order Phase Transition by XY Model of Particle Dynamics
Statistical Mechanics
2019-12-06 v2 High Energy Physics - Theory
Abstract
A gas-liquid type of phase transition is found based on the particle dynamics on radius- circle in which the coordinate appears as the angle-variable of 1D XY-model. Due to the specific appearance of compact-space radius (volume) in the present interpretation of XY-model, the ground-state develops a minimum at some critical radius, leading to the multi-valued Gibbs energy similar to systems with first-order phase transition.
Cite
@article{arxiv.1811.02408,
title = {First-Order Phase Transition by XY Model of Particle Dynamics},
author = {Amir H. Fatollahi},
journal= {arXiv preprint arXiv:1811.02408},
year = {2019}
}
Comments
v1: LaTeX, 7 pages, 3 figs; v2: 9 pages, 5 figs, detailed comparison with magnetic system interpretation of XY-model is presented. Accepted for EPL