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

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arxiv 2307.08518 v2 pith:MHLCYCHV submitted 2023-07-17 nucl-th hep-phquant-ph

classification nucl-thhep-phquant-ph
keywords canonicalensemblebosonicgrandantiparticleschargecondensatedensity
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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.

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  1. Ideal Boson Particle-Antiparticle System at Finite Temperatures

    nucl-th 2025-07 conditional novelty 4.0 of 10

    An ideal charged boson-antiboson gas condenses only in the charge-dominant component, and the zero-temperature switch from an empty to a charged ground state is classified as a first-order, externally induced transition.

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