Bose-Einstein statistics for a finite number of particles

Article Physics, Multidisciplinary

Information geometry for the strongly degenerate ideal Bose-Einstein fluid

J. L. Lopez-Picon et al.

Summary: This study revisits the thermodynamic geometry of the Bose-Einstein fluid within the framework of information geometry, particularly considering the strongly degenerate case for a finite volume. The ground state contribution is found to be relevant in highly quantum conditions, affecting the scalar curvature R in the limit of condensation. The curvature is shown to be finite and approach zero smoothly as the fugacity tends to the numerical value where condensation occurs, indicating stronger quantum effects.

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS (2021)

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Article Multidisciplinary Sciences

Finite-Size Effects with Boundary Conditions on Bose-Einstein Condensation

Run Cheng et al.

Summary: By conducting numerical analysis on ideal Bose gases in different sized boxes, it was found that smaller linear dimensions can increase the characteristic temperature and condensate fraction. A singularity was observed under antiperiodic boundary conditions.

SYMMETRY-BASEL (2021)

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Article Physics, Multidisciplinary

Information geometry for Fermi-Dirac and Bose-Einstein quantum statistics

Pedro Pessoa et al.

Summary: Information geometry is a branch of probability theory that assigns a Riemannian differential geometry structure to the space of probability distributions. This study investigates the information geometry of gases following Fermi-Dirac and Bose-Einstein quantum statistics, computing the Fisher-Rao information metric and scalar curvature. Analyzing the ground state of the ideal bosonic gas reveals the disappearance of the singular behavior of curvature in the condensation region, which contradicts a long-held conjecture about curvature divergence in phase transitions.

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS (2021)

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Article Physics, Mathematical