Hostname: page-component-848d4c4894-r5zm4 Total loading time: 0 Render date: 2024-06-25T01:17:06.527Z Has data issue: false hasContentIssue false
  • English
  • Français

Equilibrium distributions of polymers on sites which are linearly arrayed

Published online by Cambridge University Press:  14 July 2016

B. Littlewood  and
J. L. Verrall
B. Littlewood
Affiliation:
The City University, London
J. L. Verrall
Affiliation:
The City University, London
Get access Rights & Permissions [Opens in a new window]

Abstract

Certain long molecules can be regarded as linear arrays of chemically active sites. During chemical reaction, adjacent groups of sites may link to form dimers, trimers, etc. This paper considers the case when all such groups are unstable, and gives equilibrium distributions for the composition of the molecules as functions of the rates of formation and decay of the linked groups.

Keywords

CHAIN MOLECULESREVERSIBLE RANDOM FORMATION POLYMERSIRRADIATED RNALINEAR ARRAY
Type
Research Papers
Information
Journal of Applied Probability , Volume 9 , Issue 1 , March 1972 , pp. 54 - 64
Copyright
Copyright © Applied Probability Trust 1972 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

[1] Mcquarrie, D. A. (1967) A stochastic approach to chemical kinetics. J. Appl. Prob. 4, 413–478.CrossRefGoogle Scholar
[2] Tanaka, M. (1967) Kinetics of photochemical reactions in RNA molecules. J. Phys. Soc. Japan 22, 233–237.Google Scholar
[3] Cohen, E. R. and Reiss, H. (1963) Kinetics of reactant isolation. I— One dimensional problem. J. Chem. Phys. 38, 680–691.Google Scholar
[4] Littlewood, B. and Verrall, J. L. (1970) Equilibrium distribution of dimers in irradiated RNA molecules. J. Phys. Soc. Japan 28, 1308–1310.Google Scholar
[5] Littlewood, B. and Verrall, J. L. (1970) Limiting proportions of hydrations in irradiated RNA molecules. J. Phys. Soc. Japan 29, 283–287.Google Scholar
[6] Cox, D. R. and Miller, H. D. (1965) The Theory of Stochastic Processes. Methuen, London.Google Scholar