A hierarchy of Poisson brackets in non-equilibrium thermodynamics

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60461373%3A22340%2F16%3A43902727" target="_blank" >RIV/60461373:22340/16:43902727 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/68407700:21340/16:00305487 RIV/00216208:11320/16:10334006 RIV/49777513:23640/16:43930774

Výsledek na webu

<a href="http://dx.doi.org/10.1016/j.physd.2016.06.011" target="_blank" >http://dx.doi.org/10.1016/j.physd.2016.06.011</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.physd.2016.06.011" target="_blank" >10.1016/j.physd.2016.06.011</a>

Jazyk výsledku

angličtina

Název v původním jazyce

A hierarchy of Poisson brackets in non-equilibrium thermodynamics

Popis výsledku v původním jazyce

Reversible evolution of macroscopic and mesoscopic systems can be conveniently constructed from two ingredients: an energy functional and a Poisson bracket. The goal of this paper is to elucidate how the Poisson brackets can be constructed and what additional features we also gain by the construction. In particular, the Poisson brackets governing reversible evolution in one-particle kinetic theory, kinetic theory of binary mixtures, binary fluid mixtures, classical irreversible thermodynamics and classical hydrodynamics are derived from Liouville equation. Although the construction is quite natural, a few examples where it does not work are included (e.g. the BBGKY hierarchy). Finally, a new infinite grandcanonical hierarchy of Poisson brackets is proposed, which leads to Poisson brackets expressing non-local phenomena such as turbulent motion or evolution of polymeric fluids. Eventually, Lie-Poisson structures standing behind some of the brackets are identified.

Název v anglickém jazyce

A hierarchy of Poisson brackets in non-equilibrium thermodynamics

Popis výsledku anglicky

Reversible evolution of macroscopic and mesoscopic systems can be conveniently constructed from two ingredients: an energy functional and a Poisson bracket. The goal of this paper is to elucidate how the Poisson brackets can be constructed and what additional features we also gain by the construction. In particular, the Poisson brackets governing reversible evolution in one-particle kinetic theory, kinetic theory of binary mixtures, binary fluid mixtures, classical irreversible thermodynamics and classical hydrodynamics are derived from Liouville equation. Although the construction is quite natural, a few examples where it does not work are included (e.g. the BBGKY hierarchy). Finally, a new infinite grandcanonical hierarchy of Poisson brackets is proposed, which leads to Poisson brackets expressing non-local phenomena such as turbulent motion or evolution of polymeric fluids. Eventually, Lie-Poisson structures standing behind some of the brackets are identified.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

CI - Průmyslová chemie a chemické inženýrství

OECD FORD obor

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Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

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

Rok uplatnění

2016

Kód důvěrnosti údajů

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

Název periodika

Physica D

ISSN

0167-2789

e-ISSN

—

Svazek periodika

335

Číslo periodika v rámci svazku

neuveden

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

16

Strana od-do

54-69

Kód UT WoS článku

000385603600006

EID výsledku v databázi Scopus

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