2015/09/29 by A. S. Ioselevich, Volodymyr Sivak, Ioselevich, A. S. +1
Materials Science · #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Material Dynamics and Properties #Mesoscale and Nanoscale Physics (cond-mat.mes-hall)
paper · pdf · doi:10.48550/arxiv.1509.08596
openalex publication_date 2015/09/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider a nonstationary array of conductors, connected by resistances that fluctuate with time. The charge transfer between a particular pair of conductors is supposed to be dominated by "electrical breakdowns" -- the moments when the corresponding resistance is close to zero. An amount of charge, transferred during a particular breakdown, is controlled by the condition of minimum for the electrostatic energy of the system. We find the conductivity, relaxation rate, and fluctuations for such a system within the "classical approximation", valid, if the typical transferred charge is large compared to e. We discuss possible realizations of the model for colloidal systems and arrays of polymer-linked grains.