title: Critical behavior of a three-dimensional hardcore-cylinder composite system.
abstract: In this work the critical indices β, γ, and ν for a three-dimensional (3D) hardcore cylinder composite system with short-range interaction have been obtained. In contrast to the 2D stick system and the 3D hardcore cylinder system, the determined critical exponents do not belong to the same universality class as the lattice percolation, although they obey the common hyperscaling relation for a 3D system. It is observed that the value of the correlation length exponent is compatible with the predictions of the mean field theory. It is also shown that, by using the Alexander-Orbach conjuncture, the relation between the conductivity and the correlation length critical exponents has a typical value for a 3D lattice system.
authors.affiliation: Center of Physics, University of Minho, Campus de Gualtar, 4710-057 Braga, Portugal.
authors.forename: Jaime
authors.initials: J
authors.lastname: Silva
authors.forename: Ricardo
authors.initials: R
authors.lastname: Simoes
authors.forename: Senentxu
authors.initials: S
authors.lastname: Lanceros-Mendez
mesh_terms: D003198:Computer Simulation; D004058:Diffusion; D008956:Models, Chemical; D008958:Models, Molecular; D043942:Nanotubes / Q000737:chemistry* / Q000648:ultrastructure*