CONFORMAL-INVARIANCE OF A MODEL OF PERCOLATION ON RANDOM LATTICES

Authors
Citation
Y. Saintaubin, CONFORMAL-INVARIANCE OF A MODEL OF PERCOLATION ON RANDOM LATTICES, Physica. A, 221(1-3), 1995, pp. 41-51
Citations number
9
Categorie Soggetti
Physics
Journal title
ISSN journal
03784371
Volume
221
Issue
1-3
Year of publication
1995
Pages
41 - 51
Database
ISI
SICI code
0378-4371(1995)221:1-3<41:COAMOP>2.0.ZU;2-8
Abstract
A new model of percolation on random lattices is introduced. It allows for simulations on geometries like the sphere for which there do not exist periodic lattices of arbitrary fineness. Horizontal crossing pro babilities pi(h) are measured on rectangles of various aspect ratios r . These measurements agree with Cardy's prediction though there are sm all discrepancies for rectangles with large aspect ratio. Further cros sing probabilities are measured on a cylinder. These probe the hypothe sis of conformal invariance stated in Bull. Ams. 30 (1994) 1.