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Kinetic self-avoiding walks on randomly diluted lattices at the percolation threshold
Phys. Rev. E 53, 1986 – Published 1 February, 1996
DOI: https://doi.org/10.1103/PhysRevE.53.1986
Abstract
Survival probability arguments have been developed for obtaining generalized formulas for the end-to-end distance exponents of the self-avoiding walk, the kinetic growth walk (KGW), and the true self-avoiding walk on a percolating cluster. A crossover in the asymptotic behavior of KGW on a two dimensional percolating cluster has been observed at a walk length ≊60. This is presented as numerical evidence of the fact that the KGW latches onto a backbone as it grows longer. © 1996 The American Physical Society.
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