Generalization of the Dynamical Lack-of-Fit Reduction from GENERIC to GENERIC
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F20%3A10421079" target="_blank" >RIV/00216208:11320/20:10421079 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21340/20:00342110
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=o38YKgrGFe" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=o38YKgrGFe</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10955-020-02563-7" target="_blank" >10.1007/s10955-020-02563-7</a>
Alternative languages
Result language
angličtina
Original language name
Generalization of the Dynamical Lack-of-Fit Reduction from GENERIC to GENERIC
Original language description
The lack-of-fit statistical reduction, developed and formulated first by Bruce Turkington, is a general method taking Liouville equation for probability density (detailed level) and transforming it to reduced dynamics of projected quantities (less detailed level). In this paper the method is generalized. The Hamiltonian Liouville equation is replaced by an arbitrary Hamiltonian evolution combined with gradient dynamics (GENERIC), the Boltzmann entropy is replaced by an arbitrary entropy, and the kinetic energy by an arbitrary energy. The gradient part is a generalized gradient dynamics generated by a dissipation potential. The reduced evolution of the projected state variables is shown to preserve the GENERIC structure of the original (detailed level) evolution. The dissipation potential is obtained by solving a Hamilton-Jacobi equation. In summary, the lack-of-fit reduction can start with GENERIC and obtain GENERIC for the reduced state variables.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics
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
Journal of Statistical Physics
ISSN
0022-4715
e-ISSN
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Volume of the periodical
181
Issue of the periodical within the volume
Neuveden
Country of publishing house
US - UNITED STATES
Number of pages
34
Pages from-to
19-52
UT code for WoS article
000553923200001
EID of the result in the Scopus database
2-s2.0-85085527919