Scaling Behavior of Multifractal-moment Distributions Near Criticality
| Titre | Scaling Behavior of Multifractal-moment Distributions Near Criticality |
| Type de publication | Journal Article |
| Nouvelles publications | 1993 |
| Auteurs | Albinet G, Tremblay RR, Tremblay A-MS |
| Journal | Journal De Physique I |
| Volume | 3 |
| Pagination | 323–330 |
| Résumé | Sample to sample fluctuations of the multifractal moments of percolating random-resistor networks are studied via Monte Carlo simulations. For systems of size L, these fluctuations depend on DELTAp, the deviation from the critical concentration, only through the scaled variable DELTApL1/nu. At DELTAp = 0, these fluctuations depend on h, the ratio of the good and bad conductances, only through hL(phi). This is consistent with a previously proposed scaling ansatz for the joint probability distribution of multifractal moments. In the DELTAp not-equal 0 direction, the relative fluctuations are largest when the bulk correlation length is of the order of L. |
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