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Article

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

1
École Polytechnique de Montréal, C.P.6079 suc. Centre-Ville, Montréal, QC H3C 3A7, Canada
2
Department of Mathematics—FNSPE, Czech Technical University in Prague, Trojanova 13, 12000 Prague, Czech Republic
3
Mathematical Institute, Faculty of Mathematics, Charles University, Sokolovská 83, 18675 Prague, Czech Republic
*
Author to whom correspondence should be addressed.
Entropy 2020, 22(9), 978; https://doi.org/10.3390/e22090978
Received: 14 August 2020 / Revised: 28 August 2020 / Accepted: 31 August 2020 / Published: 2 September 2020
(This article belongs to the Special Issue The Statistical Foundations of Entropy)
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. View Full-Text
Keywords: entropy; critical phenomena; renormalization; multiscale thermodynamics; GENERIC entropy; critical phenomena; renormalization; multiscale thermodynamics; GENERIC
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MDPI and ACS Style

Grmela, M.; Klika, V.; Pavelka, M. Dynamic and Renormalization-Group Extensions of the Landau Theory of Critical Phenomena. Entropy 2020, 22, 978. https://doi.org/10.3390/e22090978

AMA Style

Grmela M, Klika V, Pavelka M. Dynamic and Renormalization-Group Extensions of the Landau Theory of Critical Phenomena. Entropy. 2020; 22(9):978. https://doi.org/10.3390/e22090978

Chicago/Turabian Style

Grmela, Miroslav, Václav Klika, and Michal Pavelka. 2020. "Dynamic and Renormalization-Group Extensions of the Landau Theory of Critical Phenomena" Entropy 22, no. 9: 978. https://doi.org/10.3390/e22090978

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