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Dynamic and renormalization-group extensions of the Landau theory of critical phenomena

Miroslav Grmela, Václav Klika and Michal Pavelka

Article (2020)

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Abstract

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.

Uncontrolled Keywords

entropy; critical phenomena; renormalization; multiscale thermodynamics; GENERIC

Subjects: 1800 Chemical engineering > 1800 Chemical engineering
1800 Chemical engineering > 1803 Thermodynamics
Department: Department of Chemical Engineering
Funders: Czech Grant Agency, Charles University Research Program
Grant number: 20-22092S, UNCE/SCI/023
PolyPublie URL: https://publications.polymtl.ca/9379/
Journal Title: Entropy (vol. 22, no. 9)
Publisher: MDPI
DOI: 10.3390/e22090978
Official URL: https://doi.org/10.3390/e22090978
Date Deposited: 16 Aug 2023 11:24
Last Modified: 27 Sep 2024 12:38
Cite in APA 7: Grmela, M., Klika, V., & Pavelka, M. (2020). Dynamic and renormalization-group extensions of the Landau theory of critical phenomena. Entropy, 22(9), 978 (19 pages). https://doi.org/10.3390/e22090978

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