Nota de FísicaPublicado
D-Dimensional Ideal Gas in Parastatistics: Thermodynamic Properties
M. C. S. Vieira; C. Tsallis
1986
Dados da publicação
- Autores
- M. C. S. Vieira; C. Tsallis
- Tipo
- Nota de Física
- Status
- Publicado
- Data de publicação
- 1986
- Descrição
- We consider a parastatistics ideal gas with energy spectrum <math>\varepsilon \propto |\vec{k}|^\alpha(\alpha > 0)\,\!</math> or even more general in a d-dimensional box with volume V (periodic boundary conditions), the number N of the gas particles being well determined (real particles) or not (quasi particles). We calculate the main thermodynamic quantities (chemical potential, internal energy, specific heat C, equation of states, latent heat, average numbers of particles) for arbitrary d,<math>\alpha\,\!</math>,T (temperature) and p (maximal number of particles per state allowed in the parastatistics). The main asymptotic regimes are worked out explicitely. In particular, the Bose-Einstein condensation for fixed density N/V appears as a non uniform convergence in the <math> p \rightarrow \infty \,\!</math> limit, in complete analogy with the standard critical phenomena which appear in interacting systems in the <math> N \rightarrow \infty \,\!</math> limit. The system behaves essentially like a Fermi-Dirac one for all finite values of p, and reveals a Bose-Einstein behavior only in the <math> p \rightarrow \infty \,\!</math> limit. For instance, at low temperatures C <math>\propto\,\!</math> T if <math> p < \infty \,\!</math> and <math> C \propto T^{d/\alpha}\,\!</math> if <math> p \rightarrow \infty \,\!</math> . Finally the Sommerfeld integral and its expansion are generalized to an arbitrary finite p.
- Ano
- 1986
- Número
- CBPF-NF-038/86
- Vínculo com tese
- Não
- Vínculo com bolsa
- Não