Scaling Behavior of Multifractal-moment Distributions Near Criticality
|Titre||Scaling Behavior of Multifractal-moment Distributions Near Criticality|
|Type de publication||Journal Article|
|Auteurs||Albinet G, Tremblay RR, Tremblay A-MS|
|Journal||Journal De Physique I|
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.