A basic problem in the correlations between statistics and thermodynamics |
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| Authors: | Congjie Ou Zhifu Huang Jincan Chen A El Kaabouchi L Nivanen A Le Mhaut Qiuping A Wang |
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| Institution: | aDepartment of Physics and Institute of Theoretical Physics and Astrophysics, Xiamen University, Xiamen 361005, People’s Republic of China;bCollege of Information Science and Engineering, Huaqiao University, Quanzhou 362021, People’s Republic of China;cInstitut Supérieur des Matériaux et Mécaniques Avancées du Mans, 44 Av. Bartholdi, 72000 Le Mans, France |
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| Abstract: | By using a functional of probability distributions, several different statistical physics including extensive and nonextensive statistics are unified in a general formalism. It’s shown that the equivalence between the Maxent approach and the relation dU = TdS can be seen from the virtual work principle of mechanics. From dU = TdS, any entropic form which can exists for thermodynamical equilibrium system can be maximized in order to derive the probability distribution functions. |
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