Exact critical exponent for the shortest-path scaling function in percolation

Authors
Ziff, RM
Citation
Rm. Ziff, Exact critical exponent for the shortest-path scaling function in percolation, J PHYS A, 32(43), 1999, pp. L457-L459
Citations number
18
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
32
Issue
43
Year of publication
1999
Pages
L457 - L459
Database
ISI
SICI code
0305-4470(19991029)32:43<L457:ECEFTS>2.0.ZU;2-H
Abstract
It is shown that the critical exponent gl related to pair-connectiveness an d shortest-path (or chemical distance) scaling, recently studied by Porto r t al, Dokholyan et al and Grassberger, can be found exactly in two dimensio ns by using a crossing-probability result of Cardy, with the outcome g(1) = 25/24. This prediction is consistent with existing simulation results.