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Non-convex dissipation potentials in multiscale non-equilibrium thermodynamics

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F18%3A10380728" target="_blank" >RIV/00216208:11320/18:10380728 - isvavai.cz</a>

  • Result on the web

    <a href="https://doi.org/10.1007/s00161-018-0667-1" target="_blank" >https://doi.org/10.1007/s00161-018-0667-1</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/s00161-018-0667-1" target="_blank" >10.1007/s00161-018-0667-1</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Non-convex dissipation potentials in multiscale non-equilibrium thermodynamics

  • Original language description

    Reformulating constitutive relation in terms of gradient dynamics (being derivative of a dissipation potential) brings additional information on stability, metastability and instability of the dynamics with respect to perturbations of the constitutive relation, called CR-stability. CR-instability is connected to the loss of convexity of the dissipation potential, which makes the Legendre-conjugate dissipation potential multivalued and causes dissipative phase transitions that are not induced by non-convexity of free energy, but by non-convexity of the dissipation potential. CR-stability of the constitutive relation with respect to perturbations is then manifested by constructing evolution equations for the perturbations in a thermodynamically sound way (CR-extension). As a result, interesting experimental observations of behavior of complex fluids under shear flow and supercritical boiling curve can be explained.

  • 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

    Result was created during the realization of more than one project. More information in the Projects tab.

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2018

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Continuum Mechanics and Thermodynamics

  • ISSN

    0935-1175

  • e-ISSN

  • Volume of the periodical

    30

  • Issue of the periodical within the volume

    4

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    25

  • Pages from-to

    917-941

  • UT code for WoS article

    000435336100012

  • EID of the result in the Scopus database

    2-s2.0-85045746119