Louis de Broglie’s discussion on the equivalence between relativistic principles of entropy maximization and least action
Autor(a) principal: | |
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Data de Publicação: | 2023 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UFRGS |
Texto Completo: | http://hdl.handle.net/10183/263169 |
Resumo: | In the present work we present a didactic reconstruction of de Broglie’s demonstration of the equivalence between two fundamental physical concepts: action minimization and entropy maximization. The demonstration was first developed in de Broglie’s Thermodynamics of the Isolated Particle (an attempt to develop a causal interpretation of Quantum Theory in the 1960s). In this work, de Broglie argues from a particle in a hypothetical sub-quantum medium, which operates as a kind of hidden thermostat exchanging energy with the particle. In the discussion about the action minimization and entropy maximization, however, there is not any reference to the quantum nature of the system. So, it is a demonstration valid for any system in a thermal bath in some usual thermostat. Louis de Broglie concludes that the “natural” trajectory of a particle is not only the one that minimizes the action of the particle but also maximizes the entropy of the thermostat. Our objective is to reconstruct and restructure de Broglie’s original demonstration in order to rescue an historical debate, that has not been addressed in the literature, and that is of interest to contemporary fields such as non-equilibrium thermodynamics. |
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Pires, Fernando Shinoske Tagawa de LemosRosa, Afonso Werner daLima, Nathan WilligChaib, João Paulo Martins de Castro2023-08-03T03:35:13Z20231806-1117http://hdl.handle.net/10183/263169001173246In the present work we present a didactic reconstruction of de Broglie’s demonstration of the equivalence between two fundamental physical concepts: action minimization and entropy maximization. The demonstration was first developed in de Broglie’s Thermodynamics of the Isolated Particle (an attempt to develop a causal interpretation of Quantum Theory in the 1960s). In this work, de Broglie argues from a particle in a hypothetical sub-quantum medium, which operates as a kind of hidden thermostat exchanging energy with the particle. In the discussion about the action minimization and entropy maximization, however, there is not any reference to the quantum nature of the system. So, it is a demonstration valid for any system in a thermal bath in some usual thermostat. Louis de Broglie concludes that the “natural” trajectory of a particle is not only the one that minimizes the action of the particle but also maximizes the entropy of the thermostat. Our objective is to reconstruct and restructure de Broglie’s original demonstration in order to rescue an historical debate, that has not been addressed in the literature, and that is of interest to contemporary fields such as non-equilibrium thermodynamics.application/pdfengRevista brasileira de ensino de física. São Paulo. Vol. 45 (2023), e20230074, 7 p.Broglie, Louis deTermodinâmicaEntropiaHistória da ciênciaHidden ThermodynamicsLouis de BroglieRelativistic entropy and actionHistory of scienceLouis de Broglie’s discussion on the equivalence between relativistic principles of entropy maximization and least actioninfo:eu-repo/semantics/articleinfo:eu-repo/semantics/otherinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFRGSinstname:Universidade Federal do Rio Grande do Sul (UFRGS)instacron:UFRGSTEXT001173246.pdf.txt001173246.pdf.txtExtracted Texttext/plain29974http://www.lume.ufrgs.br/bitstream/10183/263169/2/001173246.pdf.txtd229fe908c7bef5143ef9a53a19e1107MD52ORIGINAL001173246.pdfTexto completo (inglês)application/pdf641003http://www.lume.ufrgs.br/bitstream/10183/263169/1/001173246.pdf19e23e281d6e4d1437d10853c425270cMD5110183/2631692023-08-04 03:34:42.315797oai:www.lume.ufrgs.br:10183/263169Repositório de PublicaçõesPUBhttps://lume.ufrgs.br/oai/requestopendoar:2023-08-04T06:34:42Repositório Institucional da UFRGS - Universidade Federal do Rio Grande do Sul (UFRGS)false |
dc.title.pt_BR.fl_str_mv |
Louis de Broglie’s discussion on the equivalence between relativistic principles of entropy maximization and least action |
title |
Louis de Broglie’s discussion on the equivalence between relativistic principles of entropy maximization and least action |
spellingShingle |
Louis de Broglie’s discussion on the equivalence between relativistic principles of entropy maximization and least action Pires, Fernando Shinoske Tagawa de Lemos Broglie, Louis de Termodinâmica Entropia História da ciência Hidden Thermodynamics Louis de Broglie Relativistic entropy and action History of science |
title_short |
Louis de Broglie’s discussion on the equivalence between relativistic principles of entropy maximization and least action |
title_full |
Louis de Broglie’s discussion on the equivalence between relativistic principles of entropy maximization and least action |
title_fullStr |
Louis de Broglie’s discussion on the equivalence between relativistic principles of entropy maximization and least action |
title_full_unstemmed |
Louis de Broglie’s discussion on the equivalence between relativistic principles of entropy maximization and least action |
title_sort |
Louis de Broglie’s discussion on the equivalence between relativistic principles of entropy maximization and least action |
author |
Pires, Fernando Shinoske Tagawa de Lemos |
author_facet |
Pires, Fernando Shinoske Tagawa de Lemos Rosa, Afonso Werner da Lima, Nathan Willig Chaib, João Paulo Martins de Castro |
author_role |
author |
author2 |
Rosa, Afonso Werner da Lima, Nathan Willig Chaib, João Paulo Martins de Castro |
author2_role |
author author author |
dc.contributor.author.fl_str_mv |
Pires, Fernando Shinoske Tagawa de Lemos Rosa, Afonso Werner da Lima, Nathan Willig Chaib, João Paulo Martins de Castro |
dc.subject.por.fl_str_mv |
Broglie, Louis de Termodinâmica Entropia História da ciência |
topic |
Broglie, Louis de Termodinâmica Entropia História da ciência Hidden Thermodynamics Louis de Broglie Relativistic entropy and action History of science |
dc.subject.eng.fl_str_mv |
Hidden Thermodynamics Louis de Broglie Relativistic entropy and action History of science |
description |
In the present work we present a didactic reconstruction of de Broglie’s demonstration of the equivalence between two fundamental physical concepts: action minimization and entropy maximization. The demonstration was first developed in de Broglie’s Thermodynamics of the Isolated Particle (an attempt to develop a causal interpretation of Quantum Theory in the 1960s). In this work, de Broglie argues from a particle in a hypothetical sub-quantum medium, which operates as a kind of hidden thermostat exchanging energy with the particle. In the discussion about the action minimization and entropy maximization, however, there is not any reference to the quantum nature of the system. So, it is a demonstration valid for any system in a thermal bath in some usual thermostat. Louis de Broglie concludes that the “natural” trajectory of a particle is not only the one that minimizes the action of the particle but also maximizes the entropy of the thermostat. Our objective is to reconstruct and restructure de Broglie’s original demonstration in order to rescue an historical debate, that has not been addressed in the literature, and that is of interest to contemporary fields such as non-equilibrium thermodynamics. |
publishDate |
2023 |
dc.date.accessioned.fl_str_mv |
2023-08-03T03:35:13Z |
dc.date.issued.fl_str_mv |
2023 |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/other |
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1806-1117 |
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http://hdl.handle.net/10183/263169 |
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eng |
dc.relation.ispartof.pt_BR.fl_str_mv |
Revista brasileira de ensino de física. São Paulo. Vol. 45 (2023), e20230074, 7 p. |
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openAccess |
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