Random walk on self-avoiding walk: a model for the conductivity of linear polymers

Chowdhury, D. ; Chakrabarti, B. K. (1985) Random walk on self-avoiding walk: a model for the conductivity of linear polymers Journal of Physics A: Mathematical and General, 18 (7). L377-L382. ISSN 0305-4470

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Official URL: http://iopscience.iop.org/0305-4470/18/7/009

Related URL: http://dx.doi.org/10.1088/0305-4470/18/7/009

Abstract

Random walks on self-avoiding walks (SAWs) are studied using Monte Carlo techniques on a square lattice (with nearest-neighbour hopping along the chain and between SAW points which are nearest neighbours on the embedding lattice). The average of the square of the end-to-end distance for random walks of t steps on SAWs of length N is fitted to the scaling forms (Rt2) varies as Nδ tκ (for t < <Nθ ) and (Rt2) varies as N2 ν s (for t > or approximately=Nθ), where theta approximately=2 ν s/k; nu s being the average end-to-end distance exponent for SAWs. The observed value of the exponent delta is supported by the authors' real space renormalisation group result for the conductivity of SAW chains. The exponent k has been related to the 'effective' fractal dimension of the SAW chain.

Item Type:Article
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ID Code:7622
Deposited On:25 Oct 2010 11:00
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