An equilibrium thermostatistics of a nonextensive finite system: Canonical distribution and entropy

作者:Jiang, J.*; Wang, R.; Lysogorskii, Y.; Zvezdov, D.; Tayurskii, D.; Wang, Q. A.
来源:Physica A: Statistical Mechanics and Its Applications , 2012, 391(11): 3140-3150.
DOI:10.1016/j.physa.2012.01.012

摘要

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 lambda H1H2 in the expression of total energy (H-1 and H-2 are the energy of the finite system and the reservoir respectively, lambda 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.