✦ LIBER ✦
Universality of 3D percolation exponents and first-order corrections to scaling for conductivity exponents
✍ Scribed by B. Kozlov; M. Laguës
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 637 KB
- Volume
- 389
- Category
- Article
- ISSN
- 0378-4371
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✦ Synopsis
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).