Universality of ac-conduction in anisotropic disordered systems: An effective medium approximation study

Abstract

Anisotropic disordered system are studied in this work within the random barrier model. In such systems the transition probabilities in different directions have different probability density functions. The frequency-dependent conductivity at low temperatures is obtained using an effective medium approximation. It is shown that the isotropic universal ac-conduction law, $\sigma \ln \sigma =u$, is recovered if properly scaled conductivity ($\sigma$) and frequency ($u$) variables are used.

5 pages, no figures, final form (with corrected equations)

References in corpus (3)

• Scaling and universality of AC conduction in disordered solids
• Diffusion and percolation in anisotropic random barrier models
• Anisotropic thermally activated diffusion in percolation systems

Cited by in corpus (2)

• Disentangling sources of anomalous diffusion
• Effective medium approximation for lattice random walks with long-range jumps