An equilibrium thermostatistics of a nonextensive finite system: Canonical distribution and entropy |
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Authors: | J. Jiang R. Wang Y. Lysogorskii D. Zvezdov D. Tayurskii Q.A. Wang |
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Affiliation: | 1. Complexity Science Center, Institute of Particle, Physics, Hua-Zhong (Central China)Normal University, Wuhan 430079, PR China;2. Institut Supérieur des Matériaux et Mécaniques Avancés, 44, Avenue F.A. Bartholdi, 72000 Le Mans, France;3. LPEC, Faculté des Sciences et Techniques, Université du, Maine, Ave. O. Messiaen, 72035 Le Mans, France;4. Departement of physics, Kazan State University, Kazan 420008, Russia;5. College of Information Science and Engineering, Huaqiao University, Quanzhou, 362021, PR China |
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Abstract: | A simple model is presented to illustrate the equilibrium thermostatistics of a nonentensive finite system. Interaction between the finite system and the reservoir is taken into account as a nonextensive term λH1H2 in the expression of total energy (H1 and H2 are the energy of the finite system and the reservoir respectively, λ is nonadditivity parameter). In the present paper, a case with harmonic reservoir potential is considered. Energy probability distribution, average energy, heat capacity and entropy function for energy distribution are derived in different finite systems including those with constant density of state in energy, the ideal gas and the phonon gas. |
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Keywords: | Nonextensive finite system Canonical distribution Entropy |
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