标题： 一种多变指数方法处理任意温度下的半相对论等温气体球 显示英文标题

标题： A Polytropic Approach to Semi-relativistic Isothermal Gas Spheres at Arbitrary Temperature

摘要： 我们采用标准多项式展开技术来证明多方模型与有限温度下气体球描述之间存在关系。 针对所得的微扰参数进行了数值分析。 结果表明，对于费米子和玻色子，多方模型与气体球热模型之间存在对应关系。 例如，多方指数 $n$ 显示出与温度和化学势的明显相关性。 显示英文摘要

摘要： We use standard polynomial expansion technique to show the existence of a relation between polytropic model and the description of gas spheres at finite temperature. A numerical analysis is made concerning the obtained perturbative parameters. It is shown that there is a correspondence between polytropic and gas sphere thermal models for fermions and bosons. For instance, the polytropic index $n$ displays evident correlation with temperature and chemical potential.