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统计物理方法在离散变量模型中的应用及推广 被引量:3

Applications and extension of statistical physics approach in a model with discrete variables
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摘要 提出离散变量模型,并基于此模型由最大熵原理出发,展现了统计物理方法在热力学系统中的具体应用.该方法可以推广应用至由大量"个体"所构成的"总体"非物理系统中,如金融系统,社会生产系统等.文中还指出由最大熵原理得到的概率分布函数同时适用于平衡态和非平衡定态的热力学系统. A type of model with discrete variables is proposed. Based on the model and the maximum entropy principle, applications of statistical physics method are discussed in thermodynamical systems. The model is able to be extended to other non-physical systems composed of lots of elements, such as financial system and social production system. The probability distribution function obtained from the maximum entropy principle can be applied to equilibrium and non-equilibrium stationary system with the same boundary.
作者 李鹤龄 杨斌
出处 《大学物理》 北大核心 2014年第9期27-31,共5页 College Physics
基金 宁夏自然科学基金资助项目(nz14055)
关键词 群体 最大熵原理 Shannon熵 非平衡定态 group maximum entropy principle Shannon entropy non-equilibrium stationary state
作者简介 李鹤龄(1960-),男,河北沧州人,宁夏大学物理电气信息学院教授,硕士生导师,主要从事平衡态及非平衡态统计物理的教学与研究工作.
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参考文献25

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二级参考文献20

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共引文献13

同被引文献21

  • 1周旭升,李圣怡,郑子文.基于最大熵原理的平面研抛工艺参数优化[J].中国机械工程,2005,16(11):1001-1004. 被引量:4
  • 2谭涛,李鹤龄.统计力学基本假设的教学更新[J].大学物理,1997,16(1):44-45. 被引量:6
  • 3王诚泰.统计物理学[M].北京:清华大学出版社,1997.
  • 4王鹏,韩敬.朗之万函数与布里渊函数的一些近似公式的推导[J].安庆师范学院学报(自然科学版),2007,13(2):87-89. 被引量:3
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