Journal article
On the approximation of independent pairs in diffusion kinetics: correlation of distances in a three-body system
- Abstract:
- This study investigates the problem of diffusion kinetics in a three-body system, motivated by the theory of radiation chemical kinetics. The backward diffusion equation for the joint density of the distances is formulated, and an explicit formula for the infinitesimal covariance of two diffusing distances is derived. The Clifford-Green theorem is used to show how the infinitesimal covariance of two distances is linked to the covariance of the corresponding two squared distances as time evolves. In addition, computer simulations for the problem are presented, which indicate that hitting probabilities are also correlated. While the results indicate that more work is needed before a usable correction to the independence approximation is possible, clear progress has been made.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
Actions
Access Document
- Files:
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(Preview, Accepted manuscript, 3.0MB, Terms of use)
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- Publisher copy:
- 10.1039/c7cp06929d
Authors
- Publisher:
- Royal Society of Chemistry
- Journal:
- Physical Chemistry Chemical Physics More from this journal
- Volume:
- 20
- Issue:
- 4
- Pages:
- 2872-2879
- Place of publication:
- England
- Publication date:
- 2018-01-12
- Acceptance date:
- 2017-12-19
- DOI:
- EISSN:
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1463-9084
- ISSN:
-
1463-9076
- Pmid:
-
29327022
- Language:
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English
- Keywords:
- Pubs id:
-
817302
- Local pid:
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pubs:817302
- Deposit date:
-
2021-02-25
Terms of use
- Copyright holder:
- Owner Societies
- Copyright date:
- 2018
- Rights statement:
- © the Owner Societies 2018
- Notes:
- This is the accepted manuscript version of the article. The final version is available from Royal Society of Chemistry at: https://doi.org/10.1039/C7CP06929D
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