Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/3345
Title: Optimal self-avoiding paths in dilute random medium
Authors: Seno, F
Stella, AL
VANDERZANDE, Carlo 
Issue Date: 1997
Publisher: AMERICAN PHYSICAL SOC
Source: PHYSICAL REVIEW E, 55(4). p. 3859-3864
Abstract: The combined effects of bond-energy disorder and random-bond exclusion on optimal undirected self-avoiding paths are studied by an original finite-size scaling method in two dimensions. For concentrations of accessible bonds between the undirected and directed percolation thresholds, overhangs do not seem to change the standard self-affine scaling regime characteristic of directed paths. At the undirected threshold the path becomes fractal, with a fractal dimension equal to that of the minimal length path on the infinite cluster backbone. At this point the optimal energy variance scales with time t as t(omega c) (omega(c)= 1.02+/-0.05). Furthermore, omega(c) turns out to be exclusively determined by fluctuations in backbone geometry and not by disorder in bond energies. This scenario is qualitatively confirmed and extended by renormalization-group calculations on hierarchical lattices.
Notes: UNIV PADUA,SEZ INFN,I-35100 PADUA,ITALY. LIMBURGS UNIV CTR,DEPT WISKUNDE NAT KUNDE INFORMAT,B-3590 DIEPENBEEK,BELGIUM.Seno, F, UNIV PADUA,DIPARTIMENTO FIS,INFM,I-35100 PADUA,ITALY.
Document URI: http://hdl.handle.net/1942/3345
DOI: 10.1103/PhysRevE.55.3859
ISI #: A1997WV24900015
Type: Journal Contribution
Appears in Collections:Research publications

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