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The thermodynamics of a system of interacting bosonic particles andantiparticles in the presence of the Bose-Einstein condensate is studied in theframework of the Skyrme-like mean-field model. It is assumed that the totalcharge density (isospin density) is conserved at all temperatures. Two casesare explicitly considered: zero and nonzero isospin charge of the system. Acomparative analysis is carried out using Canonical Ensemble and GrandCanonical Ensemble. It is shown that the Grand Canonical Ensemble is notsuitable for describing bosonic systems of particles and antiparticles in thepresence of condensate.

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