--- title: "D-Dimensional Ideal Gas in Parastatistics: Thermodynamic Properties • CBPF Index" description: "CBPF INDEX is the system that tracks the scientific and technological output of CBPF. It lists the articles, books, technical reports and other publications of the whole CBPF community." canonical_url: "https://index.cbpf.br/en/publicacoes/6ad2a767639f62b11adbb7ee" locale: en meta: "og:description": "CBPF INDEX is the system that tracks the scientific and technological output of CBPF. It lists the articles, books, technical reports and other publications of the whole CBPF community." "og:image": "https://index.cbpf.br/_og/d/c_Item%2Ctitulo_~RC1EaW1lbnNpb25hbCBJZGVhbCBHYXMgaW4gUGFyYXN0YXRpc3RpY3M6IFRoZXJtb2R5bmFtaWMgUHJvcGVydGllcw%2Ctipo_Physics%2BNote%2Ccor_~I2E4MmMwMA%2Cautores_~TS4gQy4gUy4gVmllaXJhOyBDLiBUc2FsbGlz%2Cdetalhe_1986%2Csecao_Publications%2Cp_Ii9lbi9wdWJsaWNhY29lcy82YWQyYTc2NzYzOWY2MmIxMWFkYmI3ZWUi%2Cs_aXcDo479gyT7FdHt.png" "og:image:height": "600" "og:image:type": image/png "og:image:width": "1200" "og:title": "D-Dimensional Ideal Gas in Parastatistics: Thermodynamic Properties • CBPF Index" "twitter:image": "https://index.cbpf.br/_og/d/c_Item%2Ctitulo_~RC1EaW1lbnNpb25hbCBJZGVhbCBHYXMgaW4gUGFyYXN0YXRpc3RpY3M6IFRoZXJtb2R5bmFtaWMgUHJvcGVydGllcw%2Ctipo_Physics%2BNote%2Ccor_~I2E4MmMwMA%2Cautores_~TS4gQy4gUy4gVmllaXJhOyBDLiBUc2FsbGlz%2Cdetalhe_1986%2Csecao_Publications%2Cp_Ii9lbi9wdWJsaWNhY29lcy82YWQyYTc2NzYzOWY2MmIxMWFkYmI3ZWUi%2Cs_aXcDo479gyT7FdHt.png" --- > Index of every page on this site: [llms.txt](https://index.cbpf.br/llms.txt) **Physics Note****Published** # **D-Dimensional Ideal Gas in Parastatistics: Thermodynamic Properties** **M. C. S. Vieira; C. Tsallis** 1986 [**Download PDF **0.7 MB](https://index.cbpf.br/files/publicacao/6ad2a767639f62b11adbb7ee/pdf) [**Contact owner**](mailto:apub@cbpf.br?subject=D-Dimensional%20Ideal%20Gas%20in%20Parastatistics%3A%20Thermodynamic%20Properties) ## **Publication details**
Authors
M. C. S. Vieira; C. Tsallis
Type
Physics Note
Status
Published
Publication date
1986
Description
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.
Year
1986
Number
CBPF-NF-038/86
Linked to a thesis
No
Linked to a grant
No
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