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Phase Space Cell in Nonextensive Classical Systems
Dipartimento di Fisica, Universitá di Cagliari, I-09042 Monserrato, Italy
Dipartimento di Fisica, Politecnico di Torino, Corso Duca degli Abruzzi 24, I-10129 Torino, Italy, and Istituto Nazionale di Fisica Nucleare, Sezione di Cagliari, I-09042 Monserrato, Italy
* Author to whom correspondence should be addressed.
Received: 25 July 2002; Accepted: 31 March 2003 / Published: 30 June 2003
Abstract: We calculate the phase space volume Ω occupied by a nonextensive system of N classical particles described by an equilibrium (or steady-state, or long-term stationary state of a nonequilibrium system) distribution function, which slightly deviates from Maxwell-Boltzmann (MB) distribution in the high energy tail. We explicitly require that the number of accessible microstates does not change respect to the extensive MB case. We also derive, within a classical scheme, an analytical expression of the elementary cell that can be seen as a macrocell, different from the third power of Planck constant. Thermodynamic quantities like entropy, chemical potential and free energy of a classical ideal gas, depending on elementary cell, are evaluated. Considering the fractional deviation from MB distribution we can deduce a physical meaning of the nonextensive parameter q of the Tsallis nonextensive thermostatistics in terms of particle correlation functions (valid at least in the case, discussed in this work, of small deviations from MB standard case).
Keywords: Classical Statistical Mechanics; Thermodynamics
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Quarati, F.; Quarati, P. Phase Space Cell in Nonextensive Classical Systems. Entropy 2003, 5, 239-251.
Quarati F, Quarati P. Phase Space Cell in Nonextensive Classical Systems. Entropy. 2003; 5(2):239-251.
Quarati, Francesco; Quarati, Piero. 2003. "Phase Space Cell in Nonextensive Classical Systems." Entropy 5, no. 2: 239-251.