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Percolation conductivity of penrose tiling by transfer-matrix Monte Carlo

Abstract

A generalization of Derrida and Vannimenus transfer-matrix Monte Carlo for calculations of percolation conductivity of Penrose Tiling was applied. The strips used were 10{sup 4} long and widths varied between 3 and 19. The results show that in spite of differences for strip widths 3-7 the percolative conductivity of Penrose tiling is very close to that of square lattice. The estimation of the percolation transport exponent once more confirms the universality conjecture for 0-1 distribution of resistors. (author). 15 refs, 3 figs.
Authors:
Publication Date:
Sep 01, 1991
Product Type:
Technical Report
Report Number:
IC-91/292
Reference Number:
SCA: 665000; PA: AIX-23:029233; SN: 92000700011
Resource Relation:
Other Information: PBD: Sep 1991
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; RESISTORS; ELECTRIC CONDUCTIVITY; ALGORITHMS; CUBIC LATTICES; MONTE CARLO METHOD; 665000; PHYSICS OF CONDENSED MATTER
OSTI ID:
10132904
Research Organizations:
International Centre for Theoretical Physics (ICTP), Trieste (Italy)
Country of Origin:
IAEA
Language:
English
Other Identifying Numbers:
Other: ON: DE92622792; TRN: XA9230793029233
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
12 p.
Announcement Date:
Jul 04, 2005

Citation Formats

Babalievski, F V. Percolation conductivity of penrose tiling by transfer-matrix Monte Carlo. IAEA: N. p., 1991. Web.
Babalievski, F V. Percolation conductivity of penrose tiling by transfer-matrix Monte Carlo. IAEA.
Babalievski, F V. 1991. "Percolation conductivity of penrose tiling by transfer-matrix Monte Carlo." IAEA.
@misc{etde_10132904,
title = {Percolation conductivity of penrose tiling by transfer-matrix Monte Carlo}
author = {Babalievski, F V}
abstractNote = {A generalization of Derrida and Vannimenus transfer-matrix Monte Carlo for calculations of percolation conductivity of Penrose Tiling was applied. The strips used were 10{sup 4} long and widths varied between 3 and 19. The results show that in spite of differences for strip widths 3-7 the percolative conductivity of Penrose tiling is very close to that of square lattice. The estimation of the percolation transport exponent once more confirms the universality conjecture for 0-1 distribution of resistors. (author). 15 refs, 3 figs.}
place = {IAEA}
year = {1991}
month = {Sep}
}