Canonical Ensemble vs. Grand Canonical Ensemble in the Description of Multicomponent Bosonic Systems

Abstract: The thermodynamics of a system of interacting bosonic particles and antiparticles in the presence of the Bose-Einstein condensate is studied in the framework of the Skyrme-like mean-field model. It is assumed that the total charge density (isospin density) is conserved at all temperatures. Two cases are explicitly considered: zero and nonzero isospin charge of the system. A comparative analysis is carried out using Canonical Ensemble and Grand Canonical Ensemble. It is shown that the Grand Canonical Ensemble is not suitable for describing bosonic systems of particles and antiparticles in the presence of condensate.