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.

Kód výsledku v 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>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

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.

Popis výsledku v původním jazyce

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

Název v anglickém jazyce

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.

Popis výsledku anglicky

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

Druh

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

CEP obor

CF - Fyzikální chemie a teoretická chemie

OECD FORD obor

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Projekt

<a href="/cs/project/IAA4032101" target="_blank" >IAA4032101: Stochastický popis rychlosti a fluktuací složení komplexních chemických reakcí</a><br>

Návaznosti

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

Rok uplatnění

2002

Kód důvěrnosti údajů

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

Název periodika

Zeitschrift für Physikalische Chemie

ISSN

0942-9352

e-ISSN

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Svazek periodika

216

Číslo periodika v rámci svazku

07

Stát vydavatele periodika

DE - Spolková republika Německo

Počet stran výsledku

25

Strana od-do

869-893

Kód UT WoS článku

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EID výsledku v databázi Scopus

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