Literature DB >> 33573063

Multiscale Thermodynamics.

Miroslav Grmela1.   

Abstract

Multiscale thermodynamics is a theory of the relations among the levels of investigation of complex systems. It includes the classical equilibrium thermodynamics as a special case, but it is applicable to both static and time evolving processes in externally and internally driven macroscopic systems that are far from equilibrium and are investigated at the microscopic, mesoscopic, and macroscopic levels. In this paper we formulate multiscale thermodynamics, explain its origin, and illustrate it in mesoscopic dynamics that combines levels.

Entities:  

Keywords:  contact geometry; equilibrium and nonequilibrium thermodynamics and statistical mechanics; generic

Year:  2021        PMID: 33573063      PMCID: PMC7912246          DOI: 10.3390/e23020165

Source DB:  PubMed          Journal:  Entropy (Basel)        ISSN: 1099-4300            Impact factor:   2.524


  10 in total

1.  Hamiltonian Systems and Transformation in Hilbert Space.

Authors:  B O Koopman
Journal:  Proc Natl Acad Sci U S A       Date:  1931-05       Impact factor: 11.205

2.  Systems of conservation equations with a convex extension.

Authors:  K O Friedrichs; P D Lax
Journal:  Proc Natl Acad Sci U S A       Date:  1971-08       Impact factor: 11.205

3.  Implications of a nonlinearity in the theory of second sound in solids.

Authors: 
Journal:  Phys Rev B Condens Matter       Date:  1988-02-01

4.  Thermodynamics of driven systems.

Authors: 
Journal:  Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics       Date:  1993-08

5.  Steepest entropy ascent model for far-nonequilibrium thermodynamics: unified implementation of the maximum entropy production principle.

Authors:  Gian Paolo Beretta
Journal:  Phys Rev E Stat Nonlin Soft Matter Phys       Date:  2014-10-07

6.  Hamiltonian and Godunov structures of the Grad hierarchy.

Authors:  Miroslav Grmela; Liu Hong; David Jou; Georgy Lebon; Michal Pavelka
Journal:  Phys Rev E       Date:  2017-03-31       Impact factor: 2.529

7.  Coupling between chemical kinetics and mechanics that is both nonlinear and compatible with thermodynamics.

Authors:  Václav Klika; Miroslav Grmela
Journal:  Phys Rev E Stat Nonlin Soft Matter Phys       Date:  2013-01-28

8.  Gradient and GENERIC time evolution towards reduced dynamics.

Authors:  M Grmela; V Klika; M Pavelka
Journal:  Philos Trans A Math Phys Eng Sci       Date:  2020-03-30       Impact factor: 4.226

9.  Dynamic Maximum Entropy Reduction.

Authors:  Václav Klika; Michal Pavelka; Petr Vágner; Miroslav Grmela
Journal:  Entropy (Basel)       Date:  2019-07-22       Impact factor: 2.524

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

Authors:  Miroslav Grmela; Václav Klika; Michal Pavelka
Journal:  Entropy (Basel)       Date:  2020-09-02       Impact factor: 2.524

  10 in total

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