Comparison of the symmetric hyperbolic thermodynamically compatible framework with Hamiltonian mechanics of binary mixtures

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F24%3A00374120" target="_blank" >RIV/68407700:21340/24:00374120 - isvavai.cz</a>

Alternative codes found

RIV/00216208:11320/24:10483464

Result on the web

<a href="https://doi.org/10.1007/s00161-024-01281-9" target="_blank" >https://doi.org/10.1007/s00161-024-01281-9</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s00161-024-01281-9" target="_blank" >10.1007/s00161-024-01281-9</a>

Result language

angličtina

Original language name

Comparison of the symmetric hyperbolic thermodynamically compatible framework with Hamiltonian mechanics of binary mixtures

Original language description

How to properly describe continuum thermodynamics of binary mixtures where each constituent has its own momentum? The Symmetric Hyperbolic Thermodynamically Consistent (SHTC) framework and Hamiltonian mechanics in the form of the General Equation for Non-Equilibrium Reversible-Irreversible Coupling (GENERIC) provide two answers, which are similar but not identical, and are compared in this article. They are compared both analytically and numerically on several levels of description, varying in the amount of detail. Namely, a reduction to a more common one-momentum setting is shown, where the effects of the second momentum translate into diffusive fluxes. Both SHTC and GENERIC can thus be interpreted as a method specifying diffusive flux in standard theory. The GENERIC equations, stemming from the Liouville equation, contain terms expressing self-advection of the relative velocity by itself, which lead to a vorticity-dependent diffusion matrix after the reduction. The SHTC equations, on the other hand, do not contain such terms. We also discuss the possibility to formulate a theory of mixtures with two momenta and only one temperature that is compatible with the Liouville equation and possesses the Hamiltonian structure, including Jacobi identity.

Czech name

—

Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

10302 - Condensed matter physics (including formerly solid state physics, supercond.)

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)

Publication year

2024

Confidentiality

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

Name of the periodical

Continuum Mechanics and Thermodynamics

ISSN

0935-1175

e-ISSN

1432-0959

Volume of the periodical

36

Issue of the periodical within the volume

3

Country of publishing house

DE - GERMANY

Number of pages

21

Pages from-to

539-559

UT code for WoS article

001168931900001

EID of the result in the Scopus database

2-s2.0-85185271899