基于准经典近似研究强磁场中高温费米气体的统计性质

计算物理 ›› 2011, Vol. 28 ›› Issue (6): 895-900.

基于准经典近似研究强磁场中高温费米气体的统计性质

门福殿¹, 何晓刚¹, 刘慧², 周勇¹, 周江¹

1. 中国石油大学(华东)物理科学与技术学院, 山东东营 257061;
2. 安徽科技学院理学院, 安徽蚌埠 233100

收稿日期:2010-12-08 修回日期:2011-04-20 出版日期:2011-11-25 发布日期:2011-11-25
作者简介:门福殿(1957-),male,Shandong,Dongying,Professor,research in quantum statisnce.E-mall:menfudian@163.com
基金资助:
Supported by Nature Science Foundation of Shandong Province,China(Grant No.ZR2010AL027);Fundamental Research Funds for Central Universities(Grant No.10CX04039A)

Statistics of Fermi Gas in a Strong Magnetic Field at High Temperatures with Quasi--classical Approximations

MEN Fudian¹, HE Xiaogang¹, LIU Hui², ZHOU Yong¹, ZHOU Jiang¹

1. College of Physics Science and Technology, China University of Petroleum(East China), Dongying 257061, China;
2. College of Science, Anhui Science and Technology University, Bengbu 233100, China

Received:2010-12-08 Revised:2011-04-20 Online:2011-11-25 Published:2011-11-25
Supported by:
Supported by Nature Science Foundation of Shandong Province,China(Grant No.ZR2010AL027);Fundamental Research Funds for Central Universities(Grant No.10CX04039A)

摘要/Abstract

摘要： 基于准经典近似研究强磁场中高温费米气体的统计性质,给出系统的统计特征量的解析式,分析磁场和温度对统计性质的影响.结果显示,与低温情况比较,高温下的统计特征量不再振荡,与自由费米气体比较,磁场总是降低系统的总能,增加系统的化学势、热容量、熵、压强和稳定性;而且温度越高,磁场对总能及热容量的影响越弱,对化学势的影响越大.

关键词: 强磁场, 费米气体, 统计性质

Abstract: With quasi-classical approximations, statistic properties of Fermi gas in a strong magnetic field at high temperatures are studied. Analytical statistic characteristic quantities are given,and effects of magnetic field as well as temperature on statistic properties of the system are analyzed. Compared with a system in low temperatures.statiBtic characteristic quantities of Fermi gas in a strong magnetic field at high temperatures do not oscillate.The magnetic field deorease total energy of the system,and increases the chemical potential,heat capacity,entropy,pressure and stability of the system-The higher the temperature is,the weaker effects of magnetic field on total energy and heat caDacity and the stronger effects on chemical potential are.

Key words: strong magnetic field, Fermi gas, statistic property

中图分类号:

门福殿, 何晓刚, 刘慧, 周勇, 周江. 基于准经典近似研究强磁场中高温费米气体的统计性质[J]. 计算物理, 2011, 28(6): 895-900.

MEN Fudian, HE Xiaogang, LIU Hui, ZHOU Yong, ZHOU Jiang. Statistics of Fermi Gas in a Strong Magnetic Field at High Temperatures with Quasi--classical Approximations[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2011, 28(6): 895-900.