Gradient and GENERIC time evolution towards reduced dynamics
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F20%3A10418441" target="_blank" >RIV/00216208:11320/20:10418441 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21340/20:00341215
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=dtydDP3JaJ" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=dtydDP3JaJ</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1098/rsta.2019.0472" target="_blank" >10.1098/rsta.2019.0472</a>
Alternative languages
Result language
angličtina
Original language name
Gradient and GENERIC time evolution towards reduced dynamics
Original language description
Reduction of a mesoscopic dynamical theory to equilibrium thermodynamics brings to the latter theory the fundamental thermodynamic relation (i.e. entropy as a function of the thermodynamic state variables). The reduction is made by following the mesoscopic time evolution to its conclusion, i.e. to fixed points at which the time evolution ceases to continue. The approach to fixed points is driven by entropy, that, if evaluated at the fixed points, becomes the thermodynamic entropy. Since the fixed points are parametrized by the thermodynamic state variables (by constants of motion), the thermodynamic entropy arises as a function of the thermodynamic state variables and thus the final outcome of the reduction is the fundamental thermodynamic relation. This reduction process extends also to reductions in which the reduced theory still involves the time evolution (e.g. reduction of kinetic theory to hydrodynamics). The essence of the extension is the replacement of the mesoscopic time evolution of the state variables with the corresponding mesoscopic time evolution of the vector field (i.e. of the fluxes). The fixed point in this flux time evolution is the vector field generating the reduced mesoscopic time evolution. The flux-entropy driving the flux time evolution becomes, if evaluated at the fixed point, the flux fundamental thermodynamic relation in the reduced dynamical theory. We show that the flux-entropy is a potential related to the entropy production. This article is part of the theme issue 'Fundamental aspects of nonequilibrium thermodynamics'.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10300 - Physical sciences
Result continuities
Project
<a href="/en/project/GJ17-15498Y" target="_blank" >GJ17-15498Y: Multiscale Nonequilibrium Thermodynamics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
ISSN
1364-503X
e-ISSN
—
Volume of the periodical
378
Issue of the periodical within the volume
2170
Country of publishing house
GB - UNITED KINGDOM
Number of pages
22
Pages from-to
20190472
UT code for WoS article
000528728000006
EID of the result in the Scopus database
2-s2.0-85082565761