Universality of 3D percolation exponents and first-order corrections to scaling for conductivity exponents

Autor: B. Kozlov, M. Laguës
Rok vydání: 2010
Předmět:
Zdroj: Physica A: Statistical Mechanics and its Applications. 389:5339-5346
ISSN: 0378-4371
DOI: 10.1016/j.physa.2010.08.002
Popis: By using a fast, Nested Dissection algorithm we compare the results of finite-size scaling at p c and of “ p ” scaling ( L = const ) on large cubic random resistor networks [up to 500×500×500]. The “ p ” scaling for conductivity of both site and bond networks leads to an exponent t = 2.00 ( 1 ) . The finite-size scaling leads to the ratio of this conductivity exponent to the coherence length exponent ν : t / ν = 2.283 ( 3 ) . Combining these results we estimate ν = 0.876 ( 6 ) , in excellent agreement with a value proposed by Ballesteros et al. The first-order correctional exponent ω is found to be ω = 1.0 ( 2 ) .
Databáze: OpenAIRE