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Dynamic and Renormalization-Group Extensions of the Landau Theory of Critical Phenomena

We place the Landau theory of critical phenomena into the larger context of multiscale thermodynamics. The thermodynamic potentials, with which the Landau theory begins, arise as Lyapunov like functions in the investigation of the relations among different levels of description. By seeing the renorm...

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Detalles Bibliográficos
Autores principales: Grmela, Miroslav, Klika, Václav, Pavelka, Michal
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2020
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7597290/
https://www.ncbi.nlm.nih.gov/pubmed/33286747
http://dx.doi.org/10.3390/e22090978
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author Grmela, Miroslav
Klika, Václav
Pavelka, Michal
author_facet Grmela, Miroslav
Klika, Václav
Pavelka, Michal
author_sort Grmela, Miroslav
collection PubMed
description We place the Landau theory of critical phenomena into the larger context of multiscale thermodynamics. The thermodynamic potentials, with which the Landau theory begins, arise as Lyapunov like functions in the investigation of the relations among different levels of description. By seeing the renormalization-group approach to critical phenomena as inseparability of levels in the critical point, we can adopt the renormalization-group viewpoint into the Landau theory and by doing it bring its predictions closer to results of experimental observations.
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spelling pubmed-75972902020-11-09 Dynamic and Renormalization-Group Extensions of the Landau Theory of Critical Phenomena Grmela, Miroslav Klika, Václav Pavelka, Michal Entropy (Basel) Article We place the Landau theory of critical phenomena into the larger context of multiscale thermodynamics. The thermodynamic potentials, with which the Landau theory begins, arise as Lyapunov like functions in the investigation of the relations among different levels of description. By seeing the renormalization-group approach to critical phenomena as inseparability of levels in the critical point, we can adopt the renormalization-group viewpoint into the Landau theory and by doing it bring its predictions closer to results of experimental observations. MDPI 2020-09-02 /pmc/articles/PMC7597290/ /pubmed/33286747 http://dx.doi.org/10.3390/e22090978 Text en © 2020 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Grmela, Miroslav
Klika, Václav
Pavelka, Michal
Dynamic and Renormalization-Group Extensions of the Landau Theory of Critical Phenomena
title Dynamic and Renormalization-Group Extensions of the Landau Theory of Critical Phenomena
title_full Dynamic and Renormalization-Group Extensions of the Landau Theory of Critical Phenomena
title_fullStr Dynamic and Renormalization-Group Extensions of the Landau Theory of Critical Phenomena
title_full_unstemmed Dynamic and Renormalization-Group Extensions of the Landau Theory of Critical Phenomena
title_short Dynamic and Renormalization-Group Extensions of the Landau Theory of Critical Phenomena
title_sort dynamic and renormalization-group extensions of the landau theory of critical phenomena
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7597290/
https://www.ncbi.nlm.nih.gov/pubmed/33286747
http://dx.doi.org/10.3390/e22090978
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