Journal of Physical Studies 13(2), Article 2004 [8 pages] (2009)
DOI: https://doi.org/10.30970/jps.13.2004

THERMODYNAMIC FUNCTIONS OF ONE-DIMENSIONAL WEAKLY-INTERACTING HARMONIC OSCILLATORS WITH THE GENTILE STATISTICS

M. I. Topilko, A. A. Rovenchak

Department for Theoretical Physics, Ivan Franko National University of Lviv
12, Drahomanov St., Lviv, UA--79005, Ukraine

A one-dimensional system of harmonic oscillators obeying the fractional Gentile statistics is considered. For such a system, the temperature dependences of the chemical potential, energy and heat capacity of the model system are calculated using the known expression for the distribution function. The peculiarities of the chemical potential at the zero temperature are analyzed.

PACS number(s): 05.30.Pr, 05.70.-a

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