A hierarchy of Poisson brackets in non-equilibrium thermodynamics
The result's identifiers
Result code in 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>
Alternative codes found
RIV/68407700:21340/16:00305487 RIV/00216208:11320/16:10334006 RIV/49777513:23640/16:43930774
Result on the web
<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>
Alternative languages
Result language
angličtina
Original language name
A hierarchy of Poisson brackets in non-equilibrium thermodynamics
Original language description
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.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
CI - Industrial chemistry and chemical engineering
OECD FORD branch
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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
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Physica D
ISSN
0167-2789
e-ISSN
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Volume of the periodical
335
Issue of the periodical within the volume
neuveden
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
16
Pages from-to
54-69
UT code for WoS article
000385603600006
EID of the result in the Scopus database
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