Toward a Parastatistics in Quantum Nonextensive Statistical Mechanics

Rinat G. Zaripov

Rinat G. Zaripov

B. Freedman. Physics Department

Luca Salasnich

We discuss the Bose-Einstein condensation (BEC) for an ideal gas of bosons in the framework of Tsallis’s nonextensive statistical mechanics. We study the corrections to the standard BEC formulas due to a weak nonextensivity of the system. In particular, we consider three cases in the D-dimensional space: the homogeneous gas, the gas in a harmonic trap and the relativistic homogenous gas. The results show that small deviations from the extensive Bose statistics produce remarkably large changes in the BEC transition temperature. PACS numbers: 05.30-d; 03.75.Fi 1 A decade ago, Tsallis introduced a nonextensive statistical mechanics (NSM) to describe systems for which the additivity property of entropy does not hold. 1 The NSM can describe systems for which long-range microscopic memory, fractal space-time constraints or long-range interactions affect the thermalization process. 2 The NSM is characterized by a parameter q such

B. Tanatar

We study the Bose-Einstein condensation (BEC) phenomenon in an interacting trapped Bose gas using the semiclassical two-fluid model and nonextensive statistical mechanics. The effects of nonextensivity characterized by a parameter are explored by calculating the temperature dependent thermodynamic properties, fraction of condensed particles, and density distributions of condensed and thermal components of the system. It is found that nonextensivity in the underlying statistical mechanics may have large effects on the BEC transition temperature.

Michael J. Creutz, Barry A. Freedman