Diffusion of extended structures I polymers

Purpose - The purpose of this paper is to describe the diffusive motion of a polymer.Design methodology approach - The paper describes the Fokker-Planck equation for the probability distribution of the positions of the monomers and the stochastic equation for their positions (in the large friction l...

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Bibliographic Details
Published in:Kybernetes 2009-06, Vol.38 (5), p.704-708
Main Author: Gaveau, Bernard
Format: Article
Language:English
Subjects:
Cybernetics
Diffusion
Legislation
Polymers
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Summary:Purpose - The purpose of this paper is to describe the diffusive motion of a polymer.Design methodology approach - The paper describes the Fokker-Planck equation for the probability distribution of the positions of the monomers and the stochastic equation for their positions (in the large friction limit). The average position is studied for a free polymer ring or an attached ring, respectively.Findings - It is found that this motion is subdiffusive: at time t, the average position of the polymer is of order t1 4 rather than t1 2.Originality value - The paper is of value in showing that it is wrong to consider a polymer as a particle of large mass, owing to the fact the polymer has an internal structure.
ISSN:0368-492X
1758-7883
DOI:10.1108/03684920910962597