2002/10/01 by Pragya Shukla, Shukla, Pragya
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Mathematical Approximation and Integration #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Stochastic processes and statistical mechanics
paper · pdf · doi:10.48550/arxiv.cond-mat/0210021
openalex publication_date 2002/10/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We find that the statistics of levels undergoing metal-insulator transition in systems with multi-parametric Gaussian disorders behaves in a way similar to that of the single parametric Brownian ensembles. The latter appear during aPoisson → Wigner-Dyson transition, driven by a random perturbation. The analogy provides the analytical evidence for the single parameter scaling behaviour in disordered systems as well as a tool to obtain the level-correlations at the critical point for a wide range of disorders.