Infinite hierarchy of exponents in a two-component random resistor network |
| |
| Authors: | Lucilla de Arcangelis Antonio Coniglio |
| |
| Affiliation: | (1) Institute for Theoretical Physics, University of Cologne, 5000 Köln 41, West Germany;(2) Present address: Service de Physique Théorique, CEN, Saclay, 91191 Gif sur Yvette, France;(3) Dipartimento di Fisica, Università di Napoli, 80125 Napoli, Italy |
| |
| Abstract: | We have studied the voltage distribution for a two-component random mixture of conductances  a and b. A scaling theory is developed for the moments of the distribution, which predicts, for small values ofh=a/b, an infinite number of crossover exponents, one for each moment, for Euclidean dimensiond >2, and only one crossover exponent ford=2. Monte Carlo results on the square lattice confirm this prediction. |
| |
| Keywords: | Percolation two-component mixture scaling theory crossover exponent voltage distribution multifractality |
| 本文献已被 SpringerLink 等数据库收录！ |
|
