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

B. Kozlov and M. Laguës

Physica A: Statistical Mechanics and its Applications, 2010, vol. 389, issue 23, 5339-5346

Abstract: By using a fast, Nested Dissection algorithm we compare the results of finite-size scaling at pc 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).

Keywords: 3D percolation; Conductivity exponent; Corrections to scaling; Finite-size scaling; Universality (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:389:y:2010:i:23:p:5339-5346

DOI: 10.1016/j.physa.2010.08.002

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