Geometry effects in confined space

Details Geometry effects in confined space Geometry effects in confined space

2004-07-31

arxiv.org/abs/cond-mat/0408008v1

Phys. Rev. E 70, 016103 (2004); Virtual Journal of Nanoscale Science & Technology, July 14, 2004

Physics

Condensed Matter

Statistical Mechanics

Revtex,15 pages, no figure

Scientific paper

10.1103/PhysRevE.70.016103

In this paper we calculate some exact solutions of the grand partition functions for quantum gases in confined space, such as ideal gases in two- and three-dimensional boxes, in tubes, in annular containers, on the lateral surface of cylinders, and photon gases in three-dimensional boxes. Based on these exact solutions, which, of course, contain the complete information about the system, we discuss the geometry effect which is neglected in the calculation with the thermodynamic limit $V\to \infty $, and analyze the validity of the quantum statistical method which can be used to calculate the geometry effect on ideal quantum gases confined in two-dimensional irregular containers. We also calculate the grand partition function for phonon gases in confined space. Finally, we discuss the geometry effects in realistic systems.

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