Thermodynamic quantities of independent harmonic oscillators in microcanonical and canonical ensembles in the Tsallis statistics

Masamichi Ishihara ()
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Masamichi Ishihara: Koriyama Women’s University

The European Physical Journal B: Condensed Matter and Complex Systems, 2023, vol. 96, issue 1, 1-12

Abstract: Abstract We study the energy and the entropies of N independent harmonic oscillators in the microcanonical and the canonical ensembles in the Tsallis classical and the Tsallis quantum statistics of entropic parameter q, where N is the number of the oscillators and the value of q is larger than one. The energy and the entropies are represented with the physical temperature, and the well-known expressions are obtained for the energy and the Rényi entropy. The difference between the microcanonical and the canonical ensembles is the existence of the condition for N and q in the canonical ensemble: $$N(q-1)

Date: 2023
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DOI: 10.1140/epjb/s10051-023-00481-7

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