Partition functions and thermodynamic properties of paraboson and parafermion systems
Statistical Mechanics
2020-10-09 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Quantum Physics
Abstract
New formulas are given for the grand partition function of paraboson systems of order p with n orbitals and parafermion systems of order p with m orbitals. These formulas allow the computation of statistical and thermodynamic functions for such systems. We analyze and discuss the average number of particles on an orbital, and the average number of particles in the system. For some special cases (identical orbital energies, or equidistant orbital energies) we can simplify the grand partition functions and describe thermodynamic properties in more detail. Some specific properties are also illustrated in plots of thermodynamic functions.
Keywords
Cite
@article{arxiv.2005.03704,
title = {Partition functions and thermodynamic properties of paraboson and parafermion systems},
author = {N. I. Stoilova and J. Van der Jeugt},
journal= {arXiv preprint arXiv:2005.03704},
year = {2020}
}