Statistical problem of ideal gas in general 2-dimensional regions

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

References in corpus (4)

• The number of eigenstates: counting function and heat kernel
• The difference of boundary effects between Bose and Fermi systems
• The equation of state for two-dimensional hard-sphere gases: Hard-sphere gases as ideal gases with multi-core boundaries
• Inherent correlations between thermodynamics and statistic physics in extensive and nonextensive systems