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Technical Physics

Chemical potential jump during evaporation of a Fermi gas

Alexander A. Kostikov, A. V. Latyshev, Aleksandr Alekseevich Yushkanov

Published Apr 1, 2009• 0 citations
Publisher

Abstract

The dependence of the chemical potential jump coefficient on the evaporation coefficient is analyzed for the case in which the evaporating component is a Fermi gas. The concentration of the evaporating component is assumed to be much lower than the concentration of the carrier gas. The expression for the chemical potential jump is derived from the analytic solution of the problem for the case in which the collision frequency of molecules of the evaporating component is constant.

DOI
10.1134/s106378420904001x

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The dependence of the chemical potential jump coefficient on the evaporation coefficient is analyzed for the case in which the evaporating component is a Fermi gas. The concentration of the evaporating component is assumed to be much lower than the concentration of the carrier gas. The expression for the chemical potential jump is derived from the analytic solution of the problem for the case in which the collision frequency of molecules of the evaporating component is constant.
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We investigate temperature effects in a Fermi gas with imbalanced spin populations. From the general expression of the thermal gap equation we find, in weak coupling limit , an analytical expression for the transition temperature T c as a function of various possibilities of chemical potential and mass asymmetries between the two particle species. For a range of asymmetry between certain specific values, this equation always has two solutions for T c , which has been interpreted as a reentrant phenomena or a pairing induced by a temperature effect. We show that the lower T c is never related to a stable solution. The same results are obtained in the strong coupling limit . The thermodynamical potential is carefully analyzed to avoid consideration of the unstable solutions. We also obtain the tricritical points for the chemical potential and mass imbalanced cases, and beyond these points we properly minimize the thermodynamic potential to find the stable and metastable first-order transition lines.