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 (R_{t}^{2}) varies as N^{δ }t^{κ} (for t < <N^{θ} ) and (R_{t}^{2}) varies as N^{2 ν s} (for t > or approximately=N^{θ}), 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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Source: | Copyright of this article belongs to Institute of Physics Publishing. |

ID Code: | 7622 |

Deposited On: | 25 Oct 2010 11:00 |

Last Modified: | 20 May 2011 08:55 |

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