Bose-Einstein condensation phenomenology in systems with repulsive interactions

Abstract

The role of repulsive interactions in statistical systems of Bose particles is investigated. Three different phenomenological frameworks are considered: a mean field model, an excluded volume model, and a model with a medium dependent effective mass. All three models are tuned to yield similar equations of state, with only minor deviations from the ideal Bose gas at small chemical potentials. Our analysis indicates, however, that these models lead to qualitatively different results for the Bose-Einstein condensation phenomenon. We discuss the different aspects of this phenomenon, namely, an onset of the Bose-Einstein condensation, particle number fluctuations, and a behavior of the Bose condensate. The obtained results can be helpful for interpreting the lattice QCD data at small temperature and large isospin chemical potential and the data on multiple pion production in high energy nuclear collisions.

arXiv comment10 pages, 4 figures

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• Thermodynamic properties of interacting bosons with zero chemical potential
• Pion stars embedded in neutrino clouds
• Phase diagram of interacting pion matter and isospin charge fluctuations
• Nonlinear Klein-Gordon equation and the Bose-Einstein condensation
• Quantum statistics effects near the critical point in systems with different inter-particle interactions
• Critical point influenced by Bose-Einstein condensation
• Emergent spin polarization from $\rho$ meson condensation in rotating hadronic matter
• Particle-number fluctuations near the critical point of nuclear matter
• Bose-Einstein Condensation and Dissipative Dynamics in a Relativistic Pion Gas