Effect of Nonequilibrium Correlations on the Effective Resistances between Sites in the Theory of Hopping Conductivity

Abstract

It has been shown that the nonequilibrium correlations in hopping conductivity can be taken into account by generalizing the Miller–Abrahams network of resistors. The resistances of resistors between nodes in such a network are related to their environment. Moreover, some nonlocal elements exist, which create the voltage on one resistor proportional to the current through the other resistor. These elements are required to make controllable the approximation used to construct the network. The greatest change in the resistance takes place in the resistors, whose resistance is lower than the critical resistance of the percolation theory.