Conductance fluctuations in random resistor networks with hyperuniform disorder

Abstract

We study conductance fluctuations in random resistor networks with hyperuniform bond disorder, where the fluctuations of the number of bonds present in a test volume $V$ scale as $V^{-a}$ with $a>1/2$. Since small changes in the concentration of bonds present in a local region give rise to a proportionate increase in the locally averaged conductance, one may expect that in hyperuniform disorder, conductance fluctuations will also show suppressed fluctuations. We argue that this is not the case: conductance fluctuations scale as $L^{-d/2}$ for a sampling size $L$. We show numerical results for $d=2$.

Accepted for publication in J. Stat. Mech.: Theory Exp. (typo corrected)

References in corpus (4)

• Recent advances in percolation theory and its applications
• Hyperuniformity and its Generalizations
• Percolation of systems having hyperuniformity or giant number-fluctuations
• Hyperuniformity in Ashkin-Teller model