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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 &apos;Fundamental aspects of nonequilibrium thermodynamics&apos;.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • 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