A Levy flight approach to diffusion on a SAW with cross-links

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, , Citation J P Bouchaud and A Georges 1987 J. Phys. A: Math. Gen. 20 L1161 DOI 10.1088/0305-4470/20/17/006

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1 Lab. de Spectros. Hertzienne, Ecole Normale Superieure, Paris, France

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0305-4470/20/17/L1161

Abstract

The authors reconsider the problem of diffusion on a self-avoiding walk with local bridges. Levy flight arguments are presented to estimate the spectral dimension, based on known results on the statistics of loops in a SAW. Agreement with ESR experiments on proteins and with numerical simulations is found to be satisfactory.

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