计算物理 ›› 2015, Vol. 32 ›› Issue (6): 751-756.

• 论文 • 上一篇    

重力场和强磁场中费米气体的热力学性质

田青松, 门福殿, 陈新龙   

  1. 中国石油大学(华东)理学院, 山东 青岛 266850
  • 收稿日期:2014-11-03 修回日期:2015-02-05 出版日期:2015-11-25 发布日期:2015-11-25
  • 作者简介:田青松(1988-),男,硕士研究生,主要研究量子统计,E-mail:tqs728@126.com

Thermodynamic Properties of Fermi Gas Trapped in Both Gravity Field and Magnetic Field

TIAN Qingsong, MEN Fudian, CHEN Xinlong   

  1. College of Science, China University of Petroleum(East China), Qingdao 266580, China
  • Received:2014-11-03 Revised:2015-02-05 Online:2015-11-25 Published:2015-11-25
  • Contact: 门福殿,E-mail:menfudian@163.com

摘要: 基于半经典近似,研究重力场和强磁场共存下费米气体的热力学性质,通过理论解析和数值模拟分析强磁场背景下重力场对系统热力学性质的影响.研究表明:与单纯强磁场相比,重力场的引入使能量及化学势都降低.随温度的上升,重力场对化学势的影响逐渐放大;对热容的影响有极大值.重力场使系统的热容随磁场的振荡几乎不变、使化学势的振荡中心下移.

关键词: 重力场, 强磁场, 费米气体, 热力学性质

Abstract: With semi-classical approximation, thermodynamic properties of Fermi gas trapped in both gravity field and magnetic field are studied. By using theoretical analysis and numerical simulation, influence of gravity field on thermodynamic properties of the system in strong magnetic field is analyzed. It shows that, compared with the case of strong magnetic field only, gravity field makes the energy, chemical potential reduced. With rising temperature, influence of gravity field on chemical potential is gradually enlarged. There is a maximal influence of gravity field on heat capacity. Gravity field makes oscillation of heat capacity almost unchangeable while oscillation center of chemical potential shift down.

Key words: gravity field, strong magnetic field, Fermi gas, thermodynamic properties

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