The DOI matches its Crossref record; 6 of the 6 references it cites were found in a registry or an index.
General theory of diffusion-controlled reactions
Abstract
A formal mathematical description of diffusion-controlled bimolecular reactions is presented. The theory is completely general with respect to the kinds of reaction processes that may be considered. Besides the presentation of the general formalism, the paper also contains several examples illustrating the application of the theory to a simple many-particule system for simple catalytic bimolecular reactions, including fluorescence quenching. The manner in which approximate solutions may be obtained is also outlined.
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Citations
Cites
Methods of Theoretical Physics
Morse, P. M., Feshbach, H., & Hill, E. L. (1954) · American Journal of Physics · doi:10.1119/1.1933765 · Cited by 13,197
Mathematical handbook for scientists and engineers
Korn, G. A. (1961) · Cited by 3,428
Nonequilibrium statistical mechanics
(2018) · Physics Subject Headings (PhySH) · doi:10.29172/7dd874c05ab04de4991910775f22748a · Cited by 898
General Theory of Bimolecular Reaction Rates in Solids and Liquids
Waite, T. R. (1958) · The Journal of Chemical Physics · doi:10.1063/1.1744051 · Cited by 253
Diffusional Processes in the Growth of Aerosol Particles
Frisch, H. L., & Collins, F. C. (1952) · The Journal of Chemical Physics · doi:10.1063/1.1700292 · Cited by 94
Diffusion-controlled reactions
North, A. M. (1966) · Quarterly Reviews Chemical Society · doi:10.1039/qr9662000421 · Cited by 81
Cited by
Reaction-rate theory: fifty years after Kramers
Hänggi, P., Talkner, P., & Borkovec, M. (1990) · Reviews of Modern Physics · doi:10.1103/revmodphys.62.251 · Cited by 6,154
Role of diffusion in ligand binding to macromolecules and cell-bound receptors
Shoup, D., & Szabo, A. (1982) · Biophysical Journal · doi:10.1016/s0006-3495(82)84455-x · Cited by 428
Dynamical effects in electron transfer reactions. II. Numerical solution
Nadler, W., & Marcus, R. A. (1987) · The Journal of Chemical Physics · doi:10.1063/1.451951 · Cited by 269
Metadata
- Authors
- Wilemski, G., & Fixman, M.
- Venue
- The Journal of Chemical Physics
- Publisher
- AIP Publishing
- Published
- 1973-05-01
- Volume
- 58
- Issue
- 9
- Pages
- 4009-4019
- ISSN
- 0021-9606 (ISSN-L)
- 1089-7690
- OpenAlex
- W1996343304
- Cited by
- 447
- References
- 6
- FWCI
- 5.88
- Type
- journal article
- Language
- en
- Open access
- closed
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- Wilemski, G., & Fixman, M. (1973). General theory of diffusion-controlled reactions. The Journal of Chemical Physics. https://doi.org/10.1063/1.1679757
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.