Resistance of Random Walks
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Physics
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Abstract
Unrestricted lattice random walks in which a unit conductor is placed along each bond traversed are considered. The mean end-to-end resistance is studied as a function of the number of steps in the walk and the spatial dimension. A critical scaling law is found whose exponent is consistently given by four different calculational schemes.
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1983-09-26
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Physical Review Letters
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At the time of publication, author A. Brooks Harris was affiliated with Schlumberger-Doll Research, Ridgefield, Connecticut. Currently, he is a faculty member in the Physics Department at the University of Pennsylvania.