Pressure exerted by a grafted polymer: Bethe lattice solution

We solve the problem of a chain, modeled as a self-avoiding walk (SAW), grafted to the wall limiting a semi-infinite Bethe lattice of arbitrary coordination number q. In particular, we determine the pressure exerted by the polymer on the wall, as a function of the distance to the grafting point. The...

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Bibliographic Details
Published in:Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2015-01, Vol.48 (3), p.35002-9
Main Authors: Brum, Rafael Mynssem, Stilck, Jürgen F
Format: Article
Language:English
Subjects:
adsorption transition
Bethe lattice solution
Constraining
Decay
Gaussian
grafted lattice polymers
Grafting
Lattices
Mathematical analysis
Mathematical models
Walls
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Summary:We solve the problem of a chain, modeled as a self-avoiding walk (SAW), grafted to the wall limiting a semi-infinite Bethe lattice of arbitrary coordination number q. In particular, we determine the pressure exerted by the polymer on the wall, as a function of the distance to the grafting point. The pressure, in general, decays exponentially with the distance, at variance with what is found for SAWs and directed walks on regular lattices and gaussian walks. The adsorption transition, which is discontinuous, and its influence on the pressure are also studied.
ISSN:1751-8113
1751-8121
DOI:10.1088/1751-8113/48/3/035002