A new construction for the statistical theory of the nonextensive systems  

作　　者：Hui-Yi Tang Tie-Ling Song Jian-Hui Wang Yong-Li Ma 

机构地区：[1]State Key Laboratory of Surface Physics and Department of Physics,Fudan University [2]Department of Physics,Nanchang University

出　　处：《Chinese Science Bulletin》2014年第21期2528-2533,共6页

基　　金：supported by the National Natural Science Foundation of China (11375045);the National Basic Research Programs of China (2012CB921604)

摘　　要：We propose a new statistical theory for classical and quantum small systems.It is a generalized scheme of the Boltzmann–Gibbs statistical theory by extending the Boltzmann–Gibbs statistical factor from infinite systems to finite systems based on the microcanonical ensemble distribution function and keeping this factor in all thermodynamic processes.We reconstruct the statistical theory for finite systems by obtaining the expression of the average particle number and the thermodynamic quantities such as entropy and specific heat,in the finite systems.We also explore the discontinuous phase transitions in the interacting classical nanoscale gases without the thermodynamic limit.We propose a new statistical theory for classi- cal and quantum small systems. It is a generalized scheme of the Boltzmann-Gibbs statistical theory by extending the Boltzmann-Gibbs statistical factor from infinite systems to finite systems based on the microcanonical ensemble distribution function and keeping this factor in all thermodynamic processes. We reconstruct the statistical theory for finite systems by obtaining the expression of the average particle number and the thermodynamic quantities such as entropy and specific heat, in the finite systems. We also explore the discontinuous phase transitions in the inter- acting classical nanoscale gases without the thermodynamic limit.

关 键 词：统计理论 函数系统 有限系统 热力学极限 量子体系 玻耳兹曼 热力过程 热力学量 

分 类 号：O414.2[理学—理论物理]