Precise determination of the conductivity exponent of 3D percolation usingexact numerical renormalization

Authors
Clerc, JP Podolskiy, VA Sarychev, AK
Citation
Jp. Clerc et al., Precise determination of the conductivity exponent of 3D percolation usingexact numerical renormalization, EUR PHY J B, 15(3), 2000, pp. 507-516
Citations number
33
Categorie Soggetti
Apllied Physucs/Condensed Matter/Materiales Science
Journal title
EUROPEAN PHYSICAL JOURNAL B
ISSN journal
14346028 → ACNP
Volume
15
Issue
3
Year of publication
2000
Pages
507 - 516
Database
ISI
SICI code
1434-6028(200006)15:3<507:PDOTCE>2.0.ZU;2-T
Abstract
We present detailed description of a computer method for the calculation of the conductivity of inhomogeneous systems based on an exact renormalizatio n group transformation. We study by this method the effective conductivity of the three-dimensional resistor network at the percolation threshold. For lattices ranging in size from 4(3) to 140(3) we measure the dissipation, f inding t/nu(p) = 2.305(15), where t is the conductivity exponent and nu(p) is the correlation length exponent.