Physics NotePublished
Specific Heat of the Harmonic Oscillator within Generalized Equilibrium Statistics
Nobuyasu Ito; C. Tsallis
1989
Publication details
- Authors
- Nobuyasu Ito; C. Tsallis
- Type
- Physics Note
- Status
- Published
- Publication date
- 1989
- Description
- Within the generalized equilibrium statistics recently introduced by Tsallis <math>(p_n\propto [1-\beta(q-1)\varepsilon_n]^{1/(q-1)})</math>, we calculate the thermal dependence of the specific heat corresponding to a harmonic-oscillator-like spectrum, namely, <math>\varepsilon_n=\omega (n-\alpha)</math>, <math>(\forall\omega > 0, n=0,1,2,...)</math>. The influences of <math>\operatorname{q}</math> and <math>\operatorname{\alpha}</math> are exhibited. Physically inaccessible and/or thermally frozen gaps are obtained in the low temperature region, and, for <math>\operatorname{q > 1}</math>, oscillations are observed in the high temperature region. The specific heat of the two–level system is also shown.
- Year
- 1989
- Number
- CBPF-NF-008/89
- Linked to a thesis
- No
- Linked to a grant
- No