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Titolo:
MASTER EQUATION ANALYSIS OF INTERMOLECULAR ENERGY-TRANSFER IN MULTIPLE-WELL, MULTIPLE-CHANNEL UNIMOLECULAR REACTIONS .1. BASIC THEORY
Autore:
VENKATESH PK; DEAN AM; COHEN MH; CARR RW;
Indirizzi:
SCHLUMBERGER DOLL RES CTR,OLD QUARRY RD RIDGEFIELD CT 06877 UNIV MINNESOTA,DEPT MAT SCI & CHEM ENGN MINNEAPOLIS MN 55455 EXXON RES & ENGN CO,CORP RES SCI LABS ANNANDALE NJ 08801
Titolo Testata:
The Journal of chemical physics
fascicolo: 21, volume: 107, anno: 1997,
pagine: 8904 - 8916
SICI:
0021-9606(1997)107:21<8904:MEAOIE>2.0.ZU;2-7
Fonte:
ISI
Lingua:
ENG
Soggetto:
RATE CONSTANTS; ATOM RECOMBINATION; COMPRESSED GASES; ANGULAR-MOMENTUM; LOW-PRESSURES; DIFFUSION; FREEDOM; MODELS; LIMIT;
Tipo documento:
Article
Natura:
Periodico
Citazioni:
38
Recensione:
Indirizzi per estratti:
Citazione:
P.K. Venkatesh et al., "MASTER EQUATION ANALYSIS OF INTERMOLECULAR ENERGY-TRANSFER IN MULTIPLE-WELL, MULTIPLE-CHANNEL UNIMOLECULAR REACTIONS .1. BASIC THEORY", The Journal of chemical physics, 107(21), 1997, pp. 8904-8916

Abstract

We present a full theoretical analysis of the master-equation formulation of the problem of intermolecular energy transfer in multiple-well, multiple-channel systems. It is shown that the master equation for chemical or thermal activation possesses a unique steady state, that corresponding to the trivial solution, Rate equations local in time and therefore time-independent rate coefficients for the dissociating processes may be obtained only if a state of secular equilibrium exists. For chemically-activated systems, a general state of secular equilibrium may exist which may contain within it a regime wherein there is a well-separated, nontrivial, least negative eigenvalue of the master equation kernel. The dynamics of thermally activated systems are similarlydeduced by treating them as chemically activated systems with appropriate modifications to the inhomogeneous source term of the master equation. A degenerate and nondegenerate perturbation theory analysis of the case of rapid thermalization in the vicinity of the thermodynamic equilibrium state is also enunciated, The special case of negligible thermalization is analyzed, A classification of the ordering of the timescales of thermalization, isomerization, and dissociation is then given. (C) 1997 American Institute of Physics.

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Documento generato il 26/09/20 alle ore 05:24:37