非广延热力学中的焦耳-汤姆逊系数

The Joule-Thomson Coefficient in Nonextensive Thermodynamics

研究了非广延热力学中的焦耳-汤姆逊系数,得到了非广延焦耳-汤姆逊系数的2种表达式,分别与非广延气体的热容量和膨胀系数相联系,并且讨论了反转曲线的相关问题.通过已经得到的一些相关物理量的表达式进行计算,可以得到这些非广延热力学公式与传统热力学中的公式具有不完全一样的形式,而且强烈依赖于非广延参数q,因此可以应用于研究具有幂律分布复杂系统中非广延气体的节流膨胀过程,可以解决传统统计力学的节流过程中一些不能解决的问题.

We studied the Joule-Thomson coefficient in nonextensive thermodynamics and derived two type expressions of the nonextensive Joule-Thomson coefficient,which relate respectively to the heat capacity and the expansion coefficient in nonextensive gas.Through the calculation of some related physical quantities which have obtained,we can get that these nonextensive thermodynamic formulae have notexactly the same forms to those in classical thermodynamics.They depend intensively on the nonextensive parameter q,and therefore they can be applied to study the throttling expansion process of the nonextensive gas in complex systems with power-law distributions,which solves some problems that can not be solved in the traditional statistical mechanics.