---
title: "D-Dimensional Ideal Gas in Parastatistics: Thermodynamic Properties • CBPF Index"
description: "CBPF INDEX es el sistema de seguimiento de la producción científica y tecnológica del CBPF. En él se puede obtener la lista de publicaciones de artículos, libros, informes técnicos, etc. de toda la comunidad del CBPF."
canonical_url: "https://index.cbpf.br/es/publicacoes/6ad2a767639f62b11adbb7ee"
locale: es
meta:
  "og:description": "CBPF INDEX es el sistema de seguimiento de la producción científica y tecnológica del CBPF. En él se puede obtener la lista de publicaciones de artículos, libros, informes técnicos, etc. de toda la comunidad del CBPF."
  "og:image": "https://index.cbpf.br/_og/d/c_Item%2Ctitulo_~RC1EaW1lbnNpb25hbCBJZGVhbCBHYXMgaW4gUGFyYXN0YXRpc3RpY3M6IFRoZXJtb2R5bmFtaWMgUHJvcGVydGllcw%2Ctipo_~Tm90YSBkZSBGw61zaWNh%2Ccor_~I2E4MmMwMA%2Cautores_~TS4gQy4gUy4gVmllaXJhOyBDLiBUc2FsbGlz%2Cdetalhe_1986%2Csecao_Publicaciones%2Cp_Ii9lcy9wdWJsaWNhY29lcy82YWQyYTc2NzYzOWY2MmIxMWFkYmI3ZWUi%2Cs_3RtjC0wO7GvqgwCr.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_~Tm90YSBkZSBGw61zaWNh%2Ccor_~I2E4MmMwMA%2Cautores_~TS4gQy4gUy4gVmllaXJhOyBDLiBUc2FsbGlz%2Cdetalhe_1986%2Csecao_Publicaciones%2Cp_Ii9lcy9wdWJsaWNhY29lcy82YWQyYTc2NzYzOWY2MmIxMWFkYmI3ZWUi%2Cs_3RtjC0wO7GvqgwCr.png"
---

> Index of every page on this site: [llms.txt](https://index.cbpf.br/llms.txt)

**Nota de Física****Publicado**

# **D-Dimensional Ideal Gas in Parastatistics: Thermodynamic Properties**

**M. C. S. Vieira; C. Tsallis**

1986

[**Descargar PDF **0,7 MB](https://index.cbpf.br/files/publicacao/6ad2a767639f62b11adbb7ee/pdf) [**Contactar al responsable**](mailto:apub@cbpf.br?subject=D-Dimensional%20Ideal%20Gas%20in%20Parastatistics%3A%20Thermodynamic%20Properties)

## **Datos de la publicación**

<dl>

<dt>Autores</dt>
<dd>M. C. S. Vieira; C. Tsallis</dd>

<dt>Tipo</dt>
<dd>Nota de Física</dd>

<dt>Estado</dt>
<dd>Publicado</dd>

<dt>Fecha de publicación</dt>
<dd>1986</dd>

<dt>Descripción</dt>
<dd>We consider a parastatistics ideal gas with energy spectrum &lt;math&gt;\varepsilon \propto |\vec{k}|^\alpha(\alpha &gt; 0)\,\!&lt;/math&gt; 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,&lt;math&gt;\alpha\,\!&lt;/math&gt;,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 &lt;math&gt; p \rightarrow \infty \,\!&lt;/math&gt; limit, in complete analogy with the standard critical phenomena which appear in interacting systems in the &lt;math&gt; N \rightarrow \infty \,\!&lt;/math&gt; 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 &lt;math&gt; p \rightarrow \infty \,\!&lt;/math&gt; limit. For instance, at low temperatures C &lt;math&gt;\propto\,\!&lt;/math&gt; T if &lt;math&gt; p &lt; \infty \,\!&lt;/math&gt; and &lt;math&gt; C \propto T^{d/\alpha}\,\!&lt;/math&gt; if &lt;math&gt; p \rightarrow \infty \,\!&lt;/math&gt; . Finally the Sommerfeld integral and its expansion are generalized to an arbitrary finite p.</dd>

<dt>Año</dt>
<dd>1986</dd>

<dt>Número</dt>
<dd>CBPF-NF-038/86</dd>

<dt>Vínculo con tesis</dt>
<dd>No</dd>

<dt>Vínculo con beca</dt>
<dd>No</dd>

</dl>

```json
{"@context":"https://schema.org","@graph":[{"@id":"https://index.cbpf.br/es#website","@type":"WebSite","description":"O CBPF INDEX é o sistema de acompanhamento da produção científica e tecnológica do CBPF. Nele é possível obter a lista de publicações de artigos, livros, relatórios técnicos, etc de toda a comunidade do CBPF.","inLanguage":"es-ES","name":"CBPF Index","url":"https://index.cbpf.br/es","publisher":{"@id":"https://index.cbpf.br/#identity"},"translationOfWork":{"@id":"https://index.cbpf.br/#website"}},{"@id":"https://index.cbpf.br/es/publicacoes/6ad2a767639f62b11adbb7ee#webpage","@type":"WebPage","description":"CBPF INDEX es el sistema de seguimiento de la producción científica y tecnológica del CBPF. En él se puede obtener la lista de publicaciones de artículos, libros, informes técnicos, etc. de toda la comunidad del CBPF.","name":"D-Dimensional Ideal Gas in Parastatistics: Thermodynamic Properties","url":"https://index.cbpf.br/es/publicacoes/6ad2a767639f62b11adbb7ee","isPartOf":{"@id":"https://index.cbpf.br/es#website"},"potentialAction":[{"@type":"ReadAction","target":["https://index.cbpf.br/es/publicacoes/6ad2a767639f62b11adbb7ee"]}],"primaryImageOfPage":{"@id":"https://index.cbpf.br/#logo"}},{"@id":"https://index.cbpf.br/#identity","@type":"Organization","alternateName":"CBPF","description":"Unidade de pesquisa do Ministério da Ciência, Tecnologia e Inovação dedicada à pesquisa básica em Física, suas aplicações e à formação científica.","email":"web@cbpf.br","legalName":"Centro Brasileiro de Pesquisas Físicas/CBPF","name":"Centro Brasileiro de Pesquisas Físicas","taxID":"04.044.443/0001-35","telephone":"+55-21-2141-7100","url":"https://cbpf.br","address":{"@type":"PostalAddress","streetAddress":"Rua Dr. Xavier Sigaud, 150","addressLocality":"Rio de Janeiro","addressRegion":"RJ","postalCode":"22290-180","addressCountry":"BR"},"logo":{"@id":"https://index.cbpf.br/#logo"},"sameAs":["https://twitter.com/cbpf_mcti"]},{"@id":"https://index.cbpf.br/#logo","@type":"ImageObject","caption":"Centro Brasileiro de Pesquisas Físicas","contentUrl":"https://index.cbpf.br/icon-512x512-light.png","inLanguage":"es-ES","url":"https://index.cbpf.br/icon-512x512-light.png"}]}
```

## Sitemap

See the full [sitemap](https://index.cbpf.br/sitemap.md) for all pages.
