Thermodynamic equivalence of two-dimensional imperfect attractive Fermi and repulsive Bose gases

Thermodynamic equivalence of two-dimensional imperfect attractive Fermi and repulsive Bose gases We consider two-dimensional imperfect attractive Fermi and repulsive Bose gases consisting of spinless point particles whose total interparticle interaction energy is represented by aN2/2V with a=−aF≤0 for fermions and a=aB≥0 for bosons. We show that, in spite of the attraction, the thermodynamics of a d=2 imperfect Fermi gas remains well defined for 0≤aF≤a0=h2/2πm, and is exactly the same as the one of the repulsive imperfect Bose gas with aB=a0−aF. In particular, for aF=a0 one observes the thermodynamic equivalence of the attractive imperfect Fermi gas and the ideal Bose gas. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review A American Physical Society (APS)

Thermodynamic equivalence of two-dimensional imperfect attractive Fermi and repulsive Bose gases

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Thermodynamic equivalence of two-dimensional imperfect attractive Fermi and repulsive Bose gases

Abstract

We consider two-dimensional imperfect attractive Fermi and repulsive Bose gases consisting of spinless point particles whose total interparticle interaction energy is represented by aN2/2V with a=−aF≤0 for fermions and a=aB≥0 for bosons. We show that, in spite of the attraction, the thermodynamics of a d=2 imperfect Fermi gas remains well defined for 0≤aF≤a0=h2/2πm, and is exactly the same as the one of the repulsive imperfect Bose gas with aB=a0−aF. In particular, for aF=a0 one observes the thermodynamic equivalence of the attractive imperfect Fermi gas and the ideal Bose gas.
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Publisher
The American Physical Society
Copyright
Copyright © ©2017 American Physical Society
ISSN
1050-2947
eISSN
1094-1622
D.O.I.
10.1103/PhysRevA.95.063627
Publisher site
See Article on Publisher Site

Abstract

We consider two-dimensional imperfect attractive Fermi and repulsive Bose gases consisting of spinless point particles whose total interparticle interaction energy is represented by aN2/2V with a=−aF≤0 for fermions and a=aB≥0 for bosons. We show that, in spite of the attraction, the thermodynamics of a d=2 imperfect Fermi gas remains well defined for 0≤aF≤a0=h2/2πm, and is exactly the same as the one of the repulsive imperfect Bose gas with aB=a0−aF. In particular, for aF=a0 one observes the thermodynamic equivalence of the attractive imperfect Fermi gas and the ideal Bose gas.

Journal

Physical Review AAmerican Physical Society (APS)

Published: Jun 29, 2017

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