Generalized Fermi-Dirac Distribution of Exclusive Fermions
Mathematical Physics
2025-04-08 v1 Solar and Stellar Astrophysics
Statistical Mechanics
math.MP
Abstract
A system of exclusive fermions occurs when two fermions of opposite spin are prohibited from occupying the same quantum level. We derive the distribution of exclusive fermions via the employment of the grand canonical ensemble. Salient features of its statistical properties, compared to the free electron gases, include: larger Fermi energy, higher degeneracy pressure, but the same Pauli paramagnetism and Landau diamagnetism. In particular, higher degeneracy pressure leads to an inflation of the Chandrasekhar limit to 1.6 times when applied to white dwarf stars and neutron stars.
Keywords
Cite
@article{arxiv.2504.04813,
title = {Generalized Fermi-Dirac Distribution of Exclusive Fermions},
author = {Chung-Ru Lee and Chin-Rong Lee},
journal= {arXiv preprint arXiv:2504.04813},
year = {2025}
}