The statistical mechanical behavior of quantum gases adsorbed on various surfaces is analyzed. The specific surfaces explored are (a) a finite and an infinite plane, (b) a circular and/or square disk, (c) a sphere, (d) a cylinder, and (e) a cone. The approximation is made that the particles are confined to the close vicinity of the specified surface by a holding potential. As expected, quantum size and statistical effects are large at low temperature, while at high temperature the limiting behavior is that of a classical two-dimensional gas on a flat surface. An application to the surface separation of HD or D2 from H2 is discussed.
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Shai, D.E., Cole, M.W. & Lammert, P.E. Adsorption of Quantum Gases on Curved Surfaces. J Low Temp Phys 147, 59–79 (2007). https://doi.org/10.1007/s10909-006-9301-x
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DOI: https://doi.org/10.1007/s10909-006-9301-x