We study the asymptotic shape of self-avoiding random walks (SAW) on the backbone of the incipient percolation cluster in d-dimensional lattices analytically. It is generally accepted that the configurational averaged probability distribution function 〈PB(r,N)〈 for the end-to-end distance r of an N step SAW behaves as a power law for r→0. In this work, we determine the corresponding exponent using scaling arguments, and show that our suggested "generalized des Cloizeaux" expression for the exponent is in excellent agreement with exact enumeration results in two and three dimensions. ©2001 The American Physical Society.

Ordemann, A., Porto, M., Eduardo Roman, H., Havlin, S. (2001). "Generalized des Cloizeaux" exponent for self-avoiding walks on the incipient percolation cluster. PHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS, 63(2 I), 0201041-0201043 [10.1103/PhysRevE.63.020104].

"Generalized des Cloizeaux" exponent for self-avoiding walks on the incipient percolation cluster

Eduardo Roman H.;
2001

Abstract

We study the asymptotic shape of self-avoiding random walks (SAW) on the backbone of the incipient percolation cluster in d-dimensional lattices analytically. It is generally accepted that the configurational averaged probability distribution function 〈PB(r,N)〈 for the end-to-end distance r of an N step SAW behaves as a power law for r→0. In this work, we determine the corresponding exponent using scaling arguments, and show that our suggested "generalized des Cloizeaux" expression for the exponent is in excellent agreement with exact enumeration results in two and three dimensions. ©2001 The American Physical Society.
Articolo in rivista - Articolo scientifico
SAW on the incipient percolation cluster
English
2001
63
2 I
0201041
0201043
020104
none
Ordemann, A., Porto, M., Eduardo Roman, H., Havlin, S. (2001). "Generalized des Cloizeaux" exponent for self-avoiding walks on the incipient percolation cluster. PHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS, 63(2 I), 0201041-0201043 [10.1103/PhysRevE.63.020104].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/326587
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