Towards a Unified Formulation of Dynamics and Thermodynamics I. From Microscopic to Macroscopic Time Scales
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61388955%3A_____%2F11%3A00358304" target="_blank" >RIV/61388955:_____/11:00358304 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1002/qua.22584" target="_blank" >http://dx.doi.org/10.1002/qua.22584</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1002/qua.22584" target="_blank" >10.1002/qua.22584</a>
Alternative languages
Result language
angličtina
Original language name
Towards a Unified Formulation of Dynamics and Thermodynamics I. From Microscopic to Macroscopic Time Scales
Original language description
We go a step further on the path opened in the mid-1950s by Prigogine and his collaborators towards a unified description of dynamics and thermodynamics of irreversible processes. Here, the theory is developed from concepts and methods originating in thequantum theory of resonances. The Liouville-von Neumann equation is solved by means of effective Liouvillians, which are similar to the effective Hamiltonians used in quantum mechanics. Hierarchies of effective Liouvillians allow us to determine the long macroscopic time scales from short microscopic characteristic times. For that purpose, standard perturbation theory is used in the complex plane. Damped and oscillating irreversible decays of a fluctuation are described by means of a two-dimensional matrix representation of the Liouvillian. Finally, we derive a kinetic equation for a simple model of a chemical reaction proceeding towards equilibrium. The model implies a transition state assimilated to a short-lived resonance.
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
CF - Physical chemistry and theoretical chemistry
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)<br>Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
International Journal of Quantum Chemistry
ISSN
0020-7608
e-ISSN
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Volume of the periodical
111
Issue of the periodical within the volume
2
Country of publishing house
US - UNITED STATES
Number of pages
12
Pages from-to
225-236
UT code for WoS article
000285311400004
EID of the result in the Scopus database
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