Normal behavior of the thermodynamic properties of a Fermi gas in d> 2 dimensions, integer or not, means monotonically increasing or decreasing of its specific heat, chemical potential or isothermal sound velocity, all as functions of temperature. However, for 0 < d < 2 dimensions these properties develop a “hump ” (or “trough”) which increases (or deepens) as d → 0. Though not the phase transition signaled by the sharp features (“cusp ” or “jump”) in those properties for the ideal Bose gas in d> 2 (known as the Bose-Einstein condensation), it is nevertheless an intriguing structural anomaly which we exhibit in detail. 1 PACS: 71.10.Pm; 05.30.Fk; 05.70.Ce; 71.10.-w; 71.10.CaNormal behavior of the thermodynamic properties of a Fermi gas in d> 2 dimensions, integer or not, means monotonically increasing or decreasing of its specific heat, chemical potential or isothermal sound velocity, all as functions of temperature. However, for 0 < d < 2 dimensions these properties develop a “hump ” (or “trough”) which increases (or deepens) as d → 0. Though not the phase transition signaled by the sharp features (“cusp ” or “jump”) in those properties for the ideal Bose gas in d> 2 (known as the Bose-Einstein condensation), it is nevertheless an intriguing structural anomaly which we exhibit in detail. 1 PACS: 71.10.Pm; 05.30.Fk; 05.70.Ce; 71.10.-w; 71.10.Ca

Jan 1, 200814 citations

Anomalous Behavior in Ideal Fermion Gases Below 2D

M. Grether, MANUEL DE LLANO, M. A. Solís

APSMar 1, 20030 citations

Nearly ideal two-dimensional Fermi gas in a weak magnetic field

Yu. A. Bychkov, A. V. Kolesnikov

Journal of Experimental and Theoretical PhysicsJun 1, 19950 citations

Joule–Thomson Coefficient for Strongly Interacting Unitary Fermi Gas

Liao Kai, Jisheng Chen, Chao Li

The Joule–Thomson effect reflects the interaction among constituent particles of macroscopic system. For classical ideal gas, the corresponding Joule–Thomson coefficient is vanishing while it is non-zero for ideal quantum gas due to the quantum degeneracy. In recent years, much attention is paid to the unitary Fermi gas with infinite two-body scattering length. According to universal analysis, the thermodynamical law of unitary Fermi gas is similar to that of non-interacting ideal gas, which can be explored by the virial theorem P = 2 E /3 V . Based on previous works, we further study the unitary Fermi gas properties. The effective chemical potential is introduced to characterize the nonlinear levels crossing effects in a strongly interacting medium. The changing behavior of the rescaled Joule–Thomson coefficient according to temperature manifests a quite different behavior from that for ideal Fermi gas.The Joule–Thomson effect reflects the interaction among constituent particles of macroscopic system. For classical ideal gas, the corresponding Joule–Thomson coefficient is vanishing while it is non-zero for ideal quantum gas due to the quantum degeneracy. In recent years, much attention is paid to the unitary Fermi gas with infinite two-body scattering length. According to universal analysis, the thermodynamical law of unitary Fermi gas is similar to that of non-interacting ideal gas, which can be explored by the virial theorem P = 2 E /3 V . Based on previous works, we further study the unitary Fermi gas properties. The effective chemical potential is introduced to characterize the nonlinear levels crossing effects in a strongly interacting medium. The changing behavior of the rescaled Joule–Thomson coefficient according to temperature manifests a quite different behavior from that for ideal Fermi gas.

Communications in Theoretical PhysicsSep 1, 20102 citations

Thermodynamic functions of an ideal Fermi gas in the intermediate quantum region

S. R. Hore, Norman E. Frankel

Asymptotic expansions for the thermodynamic functions of an ideal Fermi gas are obtained about the point $z=1$ , where $z$ is the fugacity. We do this in three dimensions for the three different types of single-particle energy spectra, namely nonrelativistic, relativistic, and massless. To relate to liquid- $^{3}\mathrm{He}$ films, we also study the nonrelativistic spectrum in two dimensions.Asymptotic expansions for the thermodynamic functions of an ideal Fermi gas are obtained about the point $z=1$, where $z$ is the fugacity. We do this in three dimensions for the three different types of single-particle energy spectra, namely nonrelativistic, relativistic, and massless. To relate to liquid-$^{3}\mathrm{He}$ films, we also study the nonrelativistic spectrum in two dimensions.

Physical Review AOct 1, 19757 citations

Asymptotic expansions for the thermodynamic functions of an ideal Fermi gas are obtained about the point

z=1

, where

z

is the fugacity. We do this in three dimensions for the three different types of single-particle energy spectra, namely nonrelativistic, relativistic, and massless. To relate to liquid-

^{3}\mathrm{He}

films, we also study the nonrelativistic spectrum in two dimensions.