Critical point influenced by Bose-Einstein condensation

TL;DR

This paper investigates how Bose-Einstein condensation influences the critical points in a bosonic system, revealing two types of critical points with distinct universality classes depending on mean-field parameters.

Contribution

It introduces the concept of two different critical points, 'Boltzmann' and 'Bose', and analyzes their properties and universality classes within a mean-field framework.

Findings

Identification of two types of critical points, 'Boltzmann' and 'Bose'.

Different universality classes associated with each critical point.

Phase diagrams can feature one or both critical points depending on parameters.

Abstract

A system of bosons studied within the mean field framework has two fascinating phenomena: a liquid-gas first order phase transition and Bose-Einstein condensation. Interplay between these two phenomena is being investigated. Depending on the mean-field potential parameters one can observe two types of critical points, called "Boltzmann" and "Bose", that belong to different universality classes with distinct sets of critical exponents. As examples of Bose and Boltzmann CPs pion and $\alpha$ matter are considered, respectively. In general, the phase diagram can have one of the CPs or both of them.