原子与分子物理学报2012，Vol.29Issue(5)：913-918,6.DOI:10.3969/j.issn.1000-0364.2012.05.027
有限尺度下弱相互作用费米气体的热力学性质
Thermodynamic properties of weakly interacting Fermi gas in finite size space
何晓刚 1门福殿 1隗群梅1
作者信息
- 1. 中国石油大学(华东)理学院,青岛266555
- 折叠
摘要
Abstract
Based on quantum statistical grand canonical ensemble theory and the methods of numerical simulation, and taking into account the weak interaction between the particles, we studied the thermodynamic properties of Fermi gas in finite size space, gave the analytic expressions of chemical potential, energy and heat capacity, analyzed the weak interaction and finite size effects on the thermodynamic properties of the system. The results showed that the finite-size effects and repulsive interactions increase the system's chemical potential and energy, while the attractive interaction decreases the system's chemical potential and energy. Interaction was modulated by the finite size effects. It is found that the larger the size, the smaller the interaction effects. Interaction and finite-size effects are also modulated by temperature, the results show that the impact of interaction and finite-size effects reduce with the rising of temperature. Considering the first-order correction of interaction and finite-size effects, they have no effect on the heat capacity.关键词
尺度效应/弱相互作用/费米气体Key words
finite size effect, weak interaction, Fermi gas分类
数理科学引用本文复制引用
何晓刚,门福殿,隗群梅..有限尺度下弱相互作用费米气体的热力学性质[J].原子与分子物理学报,2012,29(5):913-918,6.
