Exact solution for anisotropic diffusion-controlled reactions with partially reflecting conditions

Sergey D. Traytak; William S. Price

doi:10.1063/1.2786452

Exact solution for anisotropic diffusion-controlled reactions with partially reflecting conditions

Sergey D. Traytak, William S. Price

School of Science

Research output: Contribution to journal › Article

28 Citations (Scopus)

Abstract

We investigate a generalization of the model of Solc and Stockmayer to describe the diffusion-controlled reactions between chemically anisotropic reactants taking into account the partially reflecting conditions on two parts of the reaction surface. The exact solution of the relevant mixed boundary-value problem was found for different ratios of the intrinsic rate constants. The results obtained may be used to test numerical programs that describe diffusion-controlled reactions in real systems of particles with anisotropic reactivity.

Original language	English
Article number	184508
Number of pages	8
Journal	Journal of Chemical Physics
Volume	127
Issue number	18
DOIs	https://doi.org/10.1063/1.2786452
Publication status	Published - 2007

Open Access - Access Right Statement

© 2007 American Institute of Physics. Redistribution of journal material is subject to the AIP online journal license and/or AIP copyright. For more information. see http:/ /ojps.aip.org/japo/japcr/jsp

Keywords

Solc-Stockmayer model
chemically anisotropic reactants
diffusion-controlled reactions

Access to Document

10.1063/1.2786452

Cite this

@article{24b6268d8b3e4e8ab9f3491939913470,

title = "Exact solution for anisotropic diffusion-controlled reactions with partially reflecting conditions",

abstract = "We investigate a generalization of the model of Solc and Stockmayer to describe the diffusion-controlled reactions between chemically anisotropic reactants taking into account the partially reflecting conditions on two parts of the reaction surface. The exact solution of the relevant mixed boundary-value problem was found for different ratios of the intrinsic rate constants. The results obtained may be used to test numerical programs that describe diffusion-controlled reactions in real systems of particles with anisotropic reactivity.",

keywords = "Solc-Stockmayer model, chemically anisotropic reactants, diffusion-controlled reactions",

author = "Traytak, {Sergey D.} and Price, {William S.}",

year = "2007",

doi = "10.1063/1.2786452",

language = "English",

volume = "127",

journal = "Journal of Chemical Physics",

issn = "0021-9606",

publisher = "American Institute of Physics",

number = "18",

}

TY - JOUR

T1 - Exact solution for anisotropic diffusion-controlled reactions with partially reflecting conditions

AU - Traytak, Sergey D.

AU - Price, William S.

PY - 2007

Y1 - 2007

N2 - We investigate a generalization of the model of Solc and Stockmayer to describe the diffusion-controlled reactions between chemically anisotropic reactants taking into account the partially reflecting conditions on two parts of the reaction surface. The exact solution of the relevant mixed boundary-value problem was found for different ratios of the intrinsic rate constants. The results obtained may be used to test numerical programs that describe diffusion-controlled reactions in real systems of particles with anisotropic reactivity.

AB - We investigate a generalization of the model of Solc and Stockmayer to describe the diffusion-controlled reactions between chemically anisotropic reactants taking into account the partially reflecting conditions on two parts of the reaction surface. The exact solution of the relevant mixed boundary-value problem was found for different ratios of the intrinsic rate constants. The results obtained may be used to test numerical programs that describe diffusion-controlled reactions in real systems of particles with anisotropic reactivity.

KW - Solc-Stockmayer model

KW - chemically anisotropic reactants

KW - diffusion-controlled reactions

UR - http://handle.uws.edu.au:8081/1959.7/36882

UR - http://www.scopus.com/inward/record.url?scp=36148977990&partnerID=8YFLogxK

U2 - 10.1063/1.2786452

DO - 10.1063/1.2786452

M3 - Article

SN - 0021-9606

VL - 127

JO - Journal of Chemical Physics

JF - Journal of Chemical Physics

IS - 18

M1 - 184508

ER -

Exact solution for anisotropic diffusion-controlled reactions with partially reflecting conditions

Abstract

Open Access - Access Right Statement

Keywords

Access to Document

Other files and links

Fingerprint

Cite this