---
title: "On One-Parameter-Dependent Generalizations of Boltzmann-Gibbs Statistical Mechanics • 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/6ad2a767639f62b11adbb53b"
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_On%2BOne-Parameter-Dependent%2BGeneralizations%2Bof%2BBoltzmann-Gibbs%2BStatistical%2BMechanics%2Ctipo_Physics%2BNote%2Ccor_~I2E4MmMwMA%2Cautores_A.%2BR.%2BR.%2BPapa%2Cdetalhe_1997%2Csecao_Publications%2Cp_Ii9lbi9wdWJsaWNhY29lcy82YWQyYTc2NzYzOWY2MmIxMWFkYmI1M2Ii%2Cs_C2x6ypuTAsyqpUK2.png"
  "og:image:height": "600"
  "og:image:type": image/png
  "og:image:width": "1200"
  "og:title": "On One-Parameter-Dependent Generalizations of Boltzmann-Gibbs Statistical Mechanics • CBPF Index"
  "twitter:image": "https://index.cbpf.br/_og/d/c_Item%2Ctitulo_On%2BOne-Parameter-Dependent%2BGeneralizations%2Bof%2BBoltzmann-Gibbs%2BStatistical%2BMechanics%2Ctipo_Physics%2BNote%2Ccor_~I2E4MmMwMA%2Cautores_A.%2BR.%2BR.%2BPapa%2Cdetalhe_1997%2Csecao_Publications%2Cp_Ii9lbi9wdWJsaWNhY29lcy82YWQyYTc2NzYzOWY2MmIxMWFkYmI1M2Ii%2Cs_C2x6ypuTAsyqpUK2.png"
---

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

**Physics Note****Published**

# **On One-Parameter-Dependent Generalizations of Boltzmann-Gibbs Statistical Mechanics**

**A. R. R. Papa**

1997

[**Download PDF **0.1 MB](https://index.cbpf.br/files/publicacao/6ad2a767639f62b11adbb53b/pdf) [**Contact owner**](mailto:apub@cbpf.br?subject=On%20One-Parameter-Dependent%20Generalizations%20of%20Boltzmann-Gibbs%20Statistical%20Mechanics)

## **Publication details**

<dl>

<dt>Authors</dt>
<dd>A. R. R. Papa</dd>

<dt>Type</dt>
<dd>Physics Note</dd>

<dt>Status</dt>
<dd>Published</dd>

<dt>Publication date</dt>
<dd>1997</dd>

<dt>Description</dt>
<dd>Based on a previously postulated entropy, that now becomes a particular case, we show that there exists an infinite set of entropies, with similar properties, that reduce in a common limit to the Boltzmann-Shannon form. The probabilities for the microcanonical ensemble and for the canonical ensemble are obtained. The method used to construct the set is quite simple and quite general and can be applied to generalizations of physical quantities and to other generalized entropies.</dd>

<dt>Year</dt>
<dd>1997</dd>

<dt>Number</dt>
<dd>CBPF-NF-069/97</dd>

<dt>Linked to a thesis</dt>
<dd>No</dd>

<dt>Linked to a grant</dt>
<dd>No</dd>

</dl>

```json
{"@context":"https://schema.org","@graph":[{"@id":"https://index.cbpf.br/en#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":"en-US","name":"CBPF Index","url":"https://index.cbpf.br/en","publisher":{"@id":"https://index.cbpf.br/#identity"},"translationOfWork":{"@id":"https://index.cbpf.br/#website"}},{"@id":"https://index.cbpf.br/en/publicacoes/6ad2a767639f62b11adbb53b#webpage","@type":"WebPage","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.","name":"On One-Parameter-Dependent Generalizations of Boltzmann-Gibbs Statistical Mechanics","url":"https://index.cbpf.br/en/publicacoes/6ad2a767639f62b11adbb53b","isPartOf":{"@id":"https://index.cbpf.br/en#website"},"potentialAction":[{"@type":"ReadAction","target":["https://index.cbpf.br/en/publicacoes/6ad2a767639f62b11adbb53b"]}],"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":"en-US","url":"https://index.cbpf.br/icon-512x512-light.png"}]}
```

## Sitemap

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