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临界现象的朗道理论的动力学与重整化群扩展

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

作者信息

Grmela Miroslav, Klika Václav, Pavelka Michal

机构信息

École Polytechnique de Montréal, C.P.6079 suc. Centre-Ville, Montréal, QC H3C 3A7, Canada.

Department of Mathematics-FNSPE, Czech Technical University in Prague, Trojanova 13, 12000 Prague, Czech Republic.

出版信息

Entropy (Basel). 2020 Sep 2;22(9):978. doi: 10.3390/e22090978.

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.

摘要

我们将临界现象的朗道理论置于多尺度热力学的更广阔背景中。朗道理论所起始的热力学势,在对不同描述层次间关系的研究中,作为类李雅普诺夫函数出现。通过将临界现象的重整化群方法视为临界点处各层次的不可分割性,我们能够将重整化群观点纳入朗道理论,如此一来,使其预测结果更接近实验观测结果。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/28a2/7597290/4daf97235521/entropy-22-00978-g001.jpg

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