高师理科学刊2025，Vol.45Issue(6)：42-47,65,7.DOI:10.3969/j.issn.1007-9831.2025.06.008
近独立粒子系统各向异性双分布函数及其应用
Anisotropic double-distribution function of a system of nearly independent particles and its applications
摘要
Abstract
Studies the thermodynamic properties of anisotropic nearly-independent particle systems,by using the most probable distribution method in statistical physics,deriving a bi-Boltzmann distribution function.By constructing an anisotropic partition function,anisotropic expressions for thermodynamic quantities such as internal energy,generalized force,and entropy are elucidated.Applying the double distribution function to ideal gases,a polarized gas model is established.Analyses reveal that its internal energy and pressure depend not only on the anisotropic temperature but also on significant density anisotropy effects on pressure.Using the bi-Maxwell distribution function,the problem of effusion through a small aperture along the polarization direction is investigated,demonstrating that molecular flux is closely related to polarization temperature and can reach twice the classical value at high temperatures.The result provides a potential theoretical basis for the active regulation of molecular flux.关键词
各向异性系统/双玻尔兹曼分布/极化气体/分子流调控Key words
anisotropic systems/bi-Boltzmann distribution/polarized gases/molecular flow control分类
数理科学引用本文复制引用
周丽红,蒋杨,蔡天宇,马雨,刘浩,郑亚辉..近独立粒子系统各向异性双分布函数及其应用[J].高师理科学刊,2025,45(6):42-47,65,7.基金项目
四川省大学生创新创业训练计划项目(CX2024177) （CX2024177）
