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Statistical problem of ideal gas in general 2-dimensional regions

arXiv:1502.05288 · doi:10.1142/S0217979214502439

Abstract

In this paper, based on the conformal mapping method and the perturbation theory, we develop a method to solve the statistical problem within general 2-dimensional regions. We consider some examples and the numerical results and fitting results are given. We also give the thermodynamic quantities of the general 2-dimensional regions, and compare the thermodynamic quantities of the different regions.

16 pages, 10 figures, 3 tables