---
title: "Thermodynamic Properties of a Solid Exhibiting the Energy Spectrum given by the Logistic Map • 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/6ad2a767639f62b11adbb3a2"
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_Thermodynamic%2BProperties%2Bof%2Ba%2BSolid%2BExhibiting%2Bthe%2BEnergy%2BSpectrum%2Bgiven%2Bby%2Bthe%2BLogistic%2BMap%2Ctipo_Physics%2BNote%2Ccor_~I2E4MmMwMA%2Cautores_~RS4gTS4gRi4gQ3VyYWRvOyBNYXJjbyBBdXLDqWxpbyBkbyBSZWdvIE1vbnRlaXJv%2Cdetalhe_2000%2Csecao_Publications%2Cp_Ii9lbi9wdWJsaWNhY29lcy82YWQyYTc2NzYzOWY2MmIxMWFkYmIzYTIi%2Cs_qMg2_5-G9OkZnTGY.png"
  "og:image:height": "600"
  "og:image:type": image/png
  "og:image:width": "1200"
  "og:title": "Thermodynamic Properties of a Solid Exhibiting the Energy Spectrum given by the Logistic Map • CBPF Index"
  "twitter:image": "https://index.cbpf.br/_og/d/c_Item%2Ctitulo_Thermodynamic%2BProperties%2Bof%2Ba%2BSolid%2BExhibiting%2Bthe%2BEnergy%2BSpectrum%2Bgiven%2Bby%2Bthe%2BLogistic%2BMap%2Ctipo_Physics%2BNote%2Ccor_~I2E4MmMwMA%2Cautores_~RS4gTS4gRi4gQ3VyYWRvOyBNYXJjbyBBdXLDqWxpbyBkbyBSZWdvIE1vbnRlaXJv%2Cdetalhe_2000%2Csecao_Publications%2Cp_Ii9lbi9wdWJsaWNhY29lcy82YWQyYTc2NzYzOWY2MmIxMWFkYmIzYTIi%2Cs_qMg2_5-G9OkZnTGY.png"
---

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

**Physics Note****Published**

# **Thermodynamic Properties of a Solid Exhibiting the Energy Spectrum given by the Logistic Map**

**E. M. F. Curado; Marco Aurélio do Rego Monteiro**

2000

[**Download PDF **0.2 MB](https://index.cbpf.br/files/publicacao/6ad2a767639f62b11adbb3a2/pdf) [**Contact owner**](mailto:apub@cbpf.br?subject=Thermodynamic%20Properties%20of%20a%20Solid%20Exhibiting%20the%20Energy%20Spectrum%20given%20by%20the%20Logistic%20Map)

## **Publication details**

<dl>

<dt>Authors</dt>
<dd>E. M. F. Curado; Marco Aurélio do Rego Monteiro</dd>

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

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

<dt>Publication date</dt>
<dd>2000</dd>

<dt>Description</dt>
<dd>We show that the infinite-dimensional representation of the recently introduced Logistic algebra can be interpreted as a non-trivial generalization of the Heisenberg or oscillator algebra. This allow us to construct a quantum Hamiltonian having the energy spectrum given by the logistic map. We analyze the Hamiltonian of a solid whose collective modes of vibration are described by this generalized oscillator and compute the thermodynamic properties of the model in the two-cycle and r = 3.6785 chaotic region of the logistic map.</dd>

<dt>Year</dt>
<dd>2000</dd>

<dt>Number</dt>
<dd>CBPF-NF-028/00</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/6ad2a767639f62b11adbb3a2#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":"Thermodynamic Properties of a Solid Exhibiting the Energy Spectrum given by the Logistic Map","url":"https://index.cbpf.br/en/publicacoes/6ad2a767639f62b11adbb3a2","isPartOf":{"@id":"https://index.cbpf.br/en#website"},"potentialAction":[{"@type":"ReadAction","target":["https://index.cbpf.br/en/publicacoes/6ad2a767639f62b11adbb3a2"]}],"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.