中国物理B ›› 2009, Vol. 18 ›› Issue (7): 2654-2658.doi: 10.1088/1674-1056/18/7/006

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Thermodynamic stability of interacting fermions system with matrix eigenvalue method

覃昉, 陈继胜   

  1. Physics Department and Institute of Particle Physics, Central China Normal University, Wuhan 430079, China
  • 收稿日期:2008-03-26 修回日期:2008-09-09 出版日期:2009-07-20 发布日期:2009-07-20
  • 基金资助:
    Project supported by the Scientific Starting Research Fund of Central China Normal University of China, the National Natural Science Foundation of China (Grant Nos 10675052 and 10875050) and Ministry of Education of China (Grant No IRT0624).

Thermodynamic stability of interacting fermions system with matrix eigenvalue method

Qin Fang(覃昉) and Chen Ji-Sheng(陈继胜)†   

  1. Physics Department and Institute of Particle Physics, Central China Normal University, Wuhan 430079, China
  • Received:2008-03-26 Revised:2008-09-09 Online:2009-07-20 Published:2009-07-20
  • Supported by:
    Project supported by the Scientific Starting Research Fund of Central China Normal University of China, the National Natural Science Foundation of China (Grant Nos 10675052 and 10875050) and Ministry of Education of China (Grant No IRT0624).

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摘要： A matrix eigenvalue method is applied to analyse the thermodynamic stability of two-component interacting fermions. The non-relativistic and ultra-relativistic d=1, 2,3 dimensions have been discussed in detail, respectively. The corresponding stability region has been given according to the two-body interaction strength and the particle number density ratio.

Abstract: A matrix eigenvalue method is applied to analyse the thermodynamic stability of two-component interacting fermions. The non-relativistic and ultra-relativistic d=1, 2,3 dimensions have been discussed in detail, respectively. The corresponding stability region has been given according to the two-body interaction strength and the particle number density ratio.

Key words: thermodynamic stability, fermions mixing, matrix eigenvalue method

中图分类号:  (Fermion systems and electron gas)

  • 05.30.Fk
05.70.-a (Thermodynamics) 02.10.Ud (Linear algebra)