• 文献检索
  • 文档翻译
  • 深度研究
  • 学术资讯
  • Suppr Zotero 插件Zotero 插件
  • 邀请有礼
  • 套餐&价格
  • 历史记录
应用&插件
Suppr Zotero 插件Zotero 插件浏览器插件Mac 客户端Windows 客户端微信小程序
定价
高级版会员购买积分包购买API积分包
服务
文献检索文档翻译深度研究API 文档MCP 服务
关于我们
关于 Suppr公司介绍联系我们用户协议隐私条款
关注我们

Suppr 超能文献

核心技术专利:CN118964589B侵权必究
粤ICP备2023148730 号-1Suppr @ 2026

文献检索

告别复杂PubMed语法,用中文像聊天一样搜索,搜遍4000万医学文献。AI智能推荐,让科研检索更轻松。

立即免费搜索

文件翻译

保留排版,准确专业,支持PDF/Word/PPT等文件格式,支持 12+语言互译。

免费翻译文档

深度研究

AI帮你快速写综述,25分钟生成高质量综述,智能提取关键信息,辅助科研写作。

立即免费体验

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.

DOI:10.3390/e22090978
PMID:33286747
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC7597290/
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/28a2/7597290/0dd1efd89caa/entropy-22-00978-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/28a2/7597290/4daf97235521/entropy-22-00978-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/28a2/7597290/0dd1efd89caa/entropy-22-00978-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/28a2/7597290/4daf97235521/entropy-22-00978-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/28a2/7597290/0dd1efd89caa/entropy-22-00978-g002.jpg

相似文献

1
Dynamic and Renormalization-Group Extensions of the Landau Theory of Critical Phenomena.临界现象的朗道理论的动力学与重整化群扩展
Entropy (Basel). 2020 Sep 2;22(9):978. doi: 10.3390/e22090978.
2
How, Why and When Tsallis Statistical Mechanics Provides Precise Descriptions of Natural Phenomena.Tsallis统计力学如何、为何以及何时能对自然现象提供精确描述。
Entropy (Basel). 2022 Dec 1;24(12):1761. doi: 10.3390/e24121761.
3
Universal critical behavior of noisy coupled oscillators: a renormalization group study.噪声耦合振子的普适临界行为:重整化群研究
Phys Rev E Stat Nonlin Soft Matter Phys. 2005 Jul;72(1 Pt 2):016130. doi: 10.1103/PhysRevE.72.016130. Epub 2005 Jul 29.
4
Probing criticality with linearly varying external fields: Renormalization group theory of nonequilibrium critical dynamics under driving.
Phys Rev E Stat Nonlin Soft Matter Phys. 2006 Apr;73(4 Pt 2):047102. doi: 10.1103/PhysRevE.73.047102. Epub 2006 Apr 3.
5
Renormalization-group analysis of the R(I)-R(V) rotator phase transition.重整化群分析 R(I)-R(V) 旋转相变。
J Chem Phys. 2011 Jun 14;134(22):224502. doi: 10.1063/1.3599051.
6
Charge renormalization of nanoparticles immersed in a molecular electrolyte.纳米颗粒在分子电解质中的电荷重新分布。
J Chem Phys. 2010 Jan 7;132(1):014903. doi: 10.1063/1.3285645.
7
Monte Carlo investigation of critical properties of the Landau point of a biaxial liquid-crystal system.双轴液晶系统朗道点临界性质的蒙特卡罗研究。
Phys Rev E. 2016 May;93(5):052701. doi: 10.1103/PhysRevE.93.052701. Epub 2016 May 3.
8
Dynamic renormalization in the framework of nonequilibrium thermodynamics.
Phys Rev E Stat Nonlin Soft Matter Phys. 2009 Feb;79(2 Pt 1):021124. doi: 10.1103/PhysRevE.79.021124. Epub 2009 Feb 19.
9
Gradient and GENERIC time evolution towards reduced dynamics.向简化动力学的梯度与GENERIC时间演化。
Philos Trans A Math Phys Eng Sci. 2020 May;378(2170):20190472. doi: 10.1098/rsta.2019.0472. Epub 2020 Mar 30.
10
Colossal magnetoresistance in manganites as a multicritical phenomenon.
Phys Rev Lett. 2003 May 16;90(19):197201. doi: 10.1103/PhysRevLett.90.197201. Epub 2003 May 13.

引用本文的文献

1
The Statistical Foundations of Entropy.熵的统计基础
Entropy (Basel). 2021 Oct 19;23(10):1367. doi: 10.3390/e23101367.
2
Multiscale Thermodynamics.多尺度热力学
Entropy (Basel). 2021 Jan 29;23(2):165. doi: 10.3390/e23020165.

本文引用的文献

1
Dynamic Maximum Entropy Reduction.动态最大熵减少
Entropy (Basel). 2019 Jul 22;21(7):715. doi: 10.3390/e21070715.
2
Thermodynamics and Stability of Non-Equilibrium Steady States in Open Systems.开放系统中非平衡稳态的热力学与稳定性
Entropy (Basel). 2019 Jul 18;21(7):704. doi: 10.3390/e21070704.
3
Gradient and GENERIC time evolution towards reduced dynamics.向简化动力学的梯度与GENERIC时间演化。
Philos Trans A Math Phys Eng Sci. 2020 May;378(2170):20190472. doi: 10.1098/rsta.2019.0472. Epub 2020 Mar 30.
4
Reductions and extensions in mesoscopic dynamics.介观动力学中的缩减与扩展
Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Sep;92(3):032111. doi: 10.1103/PhysRevE.92.032111. Epub 2015 Sep 8.
5
Phenomenological description of phase inversion.
Phys Rev E Stat Nonlin Soft Matter Phys. 2009 Feb;79(2 Pt 1):021403. doi: 10.1103/PhysRevE.79.021403. Epub 2009 Feb 10.
6
Simulation studies of phase inversion in agitated vessels using a Monte Carlo technique.使用蒙特卡洛技术对搅拌容器中相转变进行的模拟研究。
J Colloid Interface Sci. 2002 Apr 15;248(2):443-54. doi: 10.1006/jcis.2001.8159.