科研之友
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摘要
In order to improve the teaching of statistical physics in universities, in this article we introduce nonextensive statistics, a new statistical theory about complex systems. We study the two modification coefficients a and b in the van der Waals' equation in nonextensive statistics and thus understand the possible relation between the van der Waals' equation and the nonextensivity. We express these coefficients when a real gas is regarded as the nonextensive gas and then relate them to the q-parameter in nonextensive statistics. Furthermore, we derive the q-parameter of a real gas, which contains the intermolecular Lennard-Jones potential, but also strongly depends on the state parameter and molecular number of the gas. From the new statistical physics, we show that the nonextensivity plays a significant role in the coefficients of the van der Waals' equation if the gas contains a limited number of molecules or the gas is regarded as a few-body system. This article is aimed at senior undergraduate students, graduate students and those who teach statistical physics in universities.
- 出版日期2018-11
- 单位天津大学
