Statistical problem of ideal gas in general 2-dimensional regions
Ci Song, Wen-Du Li, Pardon Mwansa, Ping Zhang
TL;DR
This paper introduces a method combining conformal mapping and perturbation theory to solve statistical problems in arbitrary 2D regions, providing numerical and thermodynamic analyses for various shapes.
Contribution
It presents a novel approach for analyzing statistical properties in general 2D regions using conformal mapping and perturbation theory, with applications to thermodynamics.
Findings
Numerical results for specific 2D regions are provided.
Thermodynamic quantities are calculated and compared across different regions.
The method effectively handles complex geometries in statistical physics.
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.
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