Stochastic Model of the n-Stage Reversible First-Order Reaction: Relation between the Time of First Passage to the Most Probable Microstate and the Mean Equilibrium Fluctuations Lifetime.

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61388980%3A_____%2F02%3A50025005" target="_blank" >RIV/61388980:_____/02:50025005 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Stochastic Model of the n-Stage Reversible First-Order Reaction: Relation between the Time of First Passage to the Most Probable Microstate and the Mean Equilibrium Fluctuations Lifetime.

Original language description

Using the stochastic model of n-stage first-order reversible chemical reactions, the lifetimes of equilibrium fluctuations about the most probable equilibrium microstate and the times to reach the macroscopic chemical equilibrium are derived. In the latter case, a semistochastic approach (compatible with Schrödinger s &#8730;N ů rule) and a first-passage time approach are compared. It is shown that for n > 2 and large number of reacting particles in the system, the formula for first-passage time can bedivided into two parts having a simple physical interpretation: the composition of the system reaches first the boundary of the region of equilibrium fluctuations demarcated by their mean amplitudes (the first term which is identical with the semistochastic formula) and then, after a long random wandering among microstates inside and outside this region, it finally reaches the most probable equilibrium microstate (the second term which is approximately equal to the mean lifetime of syste

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

CF - Physical chemistry and theoretical chemistry

OECD FORD branch

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Project

<a href="/en/project/IAA4032101" target="_blank" >IAA4032101: Stochastic description of the reaction rates and composition fluctuations in systems with chemical reactions</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2002

Confidentiality

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

Name of the periodical

Zeitschrift für Physikalische Chemie

ISSN

0942-9352

e-ISSN

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Volume of the periodical

216

Issue of the periodical within the volume

07

Country of publishing house

DE - GERMANY

Number of pages

25

Pages from-to

869-893

UT code for WoS article

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EID of the result in the Scopus database

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