The physics of ac hopping conduc2ivity in disordered solids is discussed in the light of a recently proposed model. Several new comments are made. One of the most interesting facts about conductivity in disordered solids is the surprising similarity between ionic and electronic conductivity. The same kinds of non-linearities in strong electric fields are observed, and ionic and electronic condu...

Abstract – In this paper, the effect of applied electric field on the damage due to partial discharges activity into the surroundings dielectrics of a narrow channel encapsulated within the volume of a dielectric material is evaluated using a kinetic model based on Particle in Cell - Monte Carlo Collision (PIC-MCC) model. After application of an electric field across a dielectric material which...

We have studied the multipole polarizability of a graded spherical particle in a nonuniform electric field, in which the conductivity can vary radially inside the particle. The main objective of this work is to access the effects of multipole interactions at small interparticle separations, which can be important in non-dilute suspensions of functionally graded materials. The nonuniform electri...

Pure amorphous solids are traditionally considered to set the lower bound of thermal conductivity due to their disordered atomic structure that impedes vibrational energy transport. However, the lower limits for thermal conductivity in heterogeneous amorphous solids and the physical mechanisms underlying these limits remain unclear. Here, we use equilibrium molecular dynamics to show that an am...

In an ionic solid, the atom forming a cation gives up its valence electron that is captured by the atom forming an anion. Here the electrons are strictly localized. However in metals, the core electrons are localized at the atoms but the valence electrons are delocalized and belong to the entire solid. The behaviour and energy states of these delocalized electrons determine many properties of t...

Using the CTRW approximation the simplest possible nontrivial model of ac hopping conductivity in disordered solids, is constructed. The model predicts universality of the frequency-dependent conductivity, independent of temperature, chemical composition, and conductivity mechanism, in reasonably good agreement with experiments. It is shown that all qualitative features of experimental ac hoppi...

The thermal conductivity of several amorphous solids is numerically evaluated within the harmonic approximation from Kubo linear-response theory following the formalism developed by Allen and Feldman. The predictions are compared to the results of molecular dynamics (MD) simulations with realistic anharmonic potentials and to experimental measurements. The harmonic theory accurately predicts th...

It is argued that in the limit of extreme disorder AC hopping is dominated by ”percolation paths”. Modelling a percolation path as a one-dimensional path with a sharp jump rate cut-off leads to an expression for the universal AC conductivity, that fits computer simulations in two and three dimensions better than the effective medium approximation. 72.20.-i; 72.80.Ng; 66.30.Dn Typeset using REVT...