Thermodynamic properties of interacting bosons with zero chemical potential

TL;DR

This paper investigates the thermodynamic behavior of interacting bosons at finite temperature and zero chemical potential, focusing on phase transitions and Bose-Einstein condensation within a mean-field model, with applications to pion systems.

Contribution

It introduces a detailed analysis of phase transitions and thermodynamic modifications in an interacting boson system, highlighting the effects of Bose statistics and attractive interactions.

Findings

Identification of different types of first order phase transitions.

Effects of Bose-Einstein condensation on thermodynamic quantities.

Modifications of thermodynamic properties with increasing attractive forces.

Abstract

Thermodynamics properties of an interacting system of bosons are considered at finite temperatures and zero chemical potential within the Skyrme-like mean-field model. An interplay between attractive and repulsive interactions is investigated. As a particular example an equilibrium system of pions is discussed. Several modifications of thermodynamic properties in the considered system are found with increasing a strength of attractive forces. Different types of the first order phase transition are classified. Some of these transitions exist also in the Boltzmann approximation. However, effects of the Bose statistics introduce the notable additional changes in the thermodynamic quantities due to a possibility of the Bose-Einstein condensation.