Open AccessTHERMODYNAMICS OF ONE-DIMENSIONAL FERMI GAS IN THE INFINITE REPULSIVE COUPLING LIMIT
Author(s) -
Zhan-Ning Hu,
Zhou Yu-Kui
Publication year - 1990
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.39.1697
Subject(s) - physics , fugacity , fermi gas , thermodynamic potential , entropy (arrow of time) , grand canonical ensemble , canonical ensemble , limit (mathematics) , thermodynamic limit , coupling (piping) , thermodynamics , microcanonical ensemble , thermodynamic beta , quantum mechanics , thermodynamic process , thermodynamic databases for pure substances , materials science , electron , material properties , mathematical analysis , statistics , mathematics , monte carlo method , metallurgy
The thermodynamic properties for a gas of one-dimensional fermi particles interacting via a repulsive delta-function potential have been studied under the limit of infinite repulsive coupling using the theory of grand canonical ensemble. All the thermodynamic functions have been found explicitly and the velocity of sound is derived as a function of the fugacity. In particular, the entropy is not zero at the absolute zero temperature for this model. Finally, some results are given for the arbitrary spin gas.