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A stochastic model for polymer degradation

Published online by Cambridge University Press:  14 July 2016

S. K. Srinivasan and
K. M. Mehata
S. K. Srinivasan
Affiliation:
Indian Institute of Technology, Madras
K. M. Mehata
Affiliation:
Indian Institute of Technology, Madras
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Abstract

The stochastic model for breaking of molecular segments proposed by Bithell is analysed and some results relating to the distribution of the number of fragments are obtained by using a slightly more general model which allows multiple ruptures. The product density technique is employed to derive the mean and mean square number of segments at any time t and the number of segments with length greater than y at time of production.

Keywords

DEGRADATIONPOLYMER CHAINFRAGMENTSMOLECULEIRRADIATIONHOMOGENEOUSPRODUCT DENSITYDEGREE OF DEGRADATIONLENGTH DISTRIBUTIONMOLECULAR SEGMENTSFRAGMENTATIONGENERATIONNUCLEON CASCADEPOWER LAW

Information

Type
Research Papers
Information
Journal of Applied Probability , Volume 9 , Issue 1 , March 1972, pp. 43 - 53
Copyright
Copyright © Applied Probability Trust 1972 

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References

[1] Bellman, R. E., Kalaba, R. and Wing, G. M. (1960) Invariant imbedding and mathematical physics — I. Particle processes. J. Math. Phys. 1, 280–308.Google Scholar
[2] Bithell, J. F. (1969) A stochastic model for the breaking of molecular segments. J. Appl. Prob. 6, 59–73.Google Scholar
[3] Ramakrishnan, A. (1950) Stochastic process relating to particles distributed to a continuous infinity of states. Proc. Camb. Phil. Soc. 46, 595–602.Google Scholar
[4] Ramakrishnan, A. (1952) A note on Jánossy's mathematical model of a nucleon cascade. Proc. Camb. Phil. Soc. 48, 451–456.Google Scholar
[5] Ramakrishnan, A. and Srinivasan, S. K. (1956) A new approach to cascade theory. Proc. Ind. Acad. Sci. A 44, 263.Google Scholar
[6] Srinivasan, S. K. (1969) Stochastic Theory and Cascade Processess. American Elsevier. Pub. Co., New York. Chapter 7.Google Scholar
[7] Roberts, G. E. and Kaufman, H. (1966) Tables of Laplace Transforms. W. B. Saunders Company, Philadelphia and London.Google Scholar