Percolation under a spiralling constraint

Ray, P. ; Bose, I. (1988) Percolation under a spiralling constraint Journal of Physics A: Mathematical and General, 21 (2). pp. 555-560. ISSN 0305-4470

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Official URL: http://iopscience.iop.org/0305-4470/21/2/033

Related URL: http://dx.doi.org/10.1088/0305-4470/21/2/033

Abstract

A new type of percolation process, spiral percolation, is considered in which each step of a percolation path proceeds either straight or in a specific rotational direction. Monte Carlo simulation, assuming a finite-size scaling hypothesis, has been performed on the square lattice to determine the spiral percolation threshold ps and the correlation length exponent nus. The values obtained are ps=0.730+or-0.004 and nus=1.404+or-0.012.

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Deposited On:25 Jun 2012 13:08
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