Chemical potential jump during evaporation of Bose gases

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 Bose 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.

Chemical Potential Jump During Evaporation of a Bose Gas with Variable Molecular Collision Frequency

“…3 that the values of the coefficient of the chemical potential jump varies that much more, the smaller are the values of the evaporation coefficient, but as q tends to unity, these differences smooth out. A comparison of the coefficient of the chemical potential jump corresponding to the case of a Bose gas with variable collision frequency with the coefficients corresponding to the cases of a Bose gas and a Fermi gas with constant collision frequency [8,9] is shown in Fig. 4.…”

“…Next, proceeding as in [8], we find the magnitude of the jump of the dimensionless chemical potential 6) and the coefficient of the continuous spectrum…”

“…In the present work, which is a continuation of [8], we construct a mathematical model of evaporation of a Bose gas from a flat surface into a binary gas mixture, taking into account the fact that the effective collision frequency of molecules of the first component with molecules of the second is a variable quantity and depends on the velocities of the molecules. Here the concentration of the molecules of one gas n 1 is much less than the concentration of the molecules of the other gas n 2 : n 1 << n 2 .…”

“…Along with that, there is great theoretical interest in the behavior of mixed gases. There are many works dedicated to this problem; we single out analytical works in which exact solutions for classical [4][5][6][7] and quantum [8,9] gases were obtained.…”