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arXiv:1301.1196 · Low Temperature Physics

Chemical potential jump during evaporation of Bose gases

E. A. Bedrikova, A. V. Latyshev

Published Mar 1, 2014• 0 citations
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Abstract

The dependence of the chemical potential jump coefficient on the evaporation coefficient of a binary mixture is studied in the case where the evaporating component is a Bose gas with a concentration assumed to be much lower than that of the carrier gas. An analytical solution of the problem yields an expression for the chemical potential jump for the case of a constant collision frequency of the Bose gas molecules.

DOI
10.1063/1.4868527

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The dependence of the chemical potential jump coefficient on the evaporation coefficient of a binary mixture is studied in the case where the evaporating component is a Bose gas with a concentration assumed to be much lower than that of the carrier gas. An analytical solution of the problem yields an expression for the chemical potential jump for the case of a constant collision frequency of the Bose gas molecules.
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The quantum phase transition in binary Bose Gases is studied using the Cornwall-Jackiw-Tomboulis effective potential approach in the double-bubble approximation, which preserves the Goldstone theorem. Its main feature is that the transition is second order occurring at ultra-cold temperatures associated with the type of inverse symmetry-breaking transition occurring when the chemical potential reaches a critical value. However, it cannot simultaneously occur for the two components of a binary mixture of Bose gases.
Abstract Knowledge of the chemical potential is essential in application of the Fermi–Dirac and the Bose–Einstein distribution functions for the calculation of properties of quantum gases. We give expressions for the chemical potential of ideal Fermi and Bose gases in 1, 2 and 3 dimensions in terms of inverse polylogarithm functions. We provide Mathematica functions for these chemical potentials together with low- and high-temperature series expansions. In the 3d Bose case we give also expansions about TBT_{{{{\mathrm {B}}}}}TB​ T B . The Mathematica routines for the series allow calculation to arbitrary order.