Criticality in non-linear transport properties of heterogeneous materials

S. Roux , A. Hansen , E. Guyon

In heterogeneous materials consisting of individual simple non-linear elements whose transport characteristics are piecewise linear separated by random « thresholds », one may encounter transition regimes where a power law relates fluxes to potentials. There is a well-defined threshold for the onset of this transition regime. We suggest that this threshold is a critical point closely related to the percolation one. We study numerically the value of the threshold by different means, in a directed and a isotropic case, and obtain estimates through finite-size scaling.

Mots clés: transport processes

Domaines: Articles anciens

S. Roux, A. Hansen, E. Guyon. Criticality in non-linear transport properties of heterogeneous materials. Journal de Physique, 1987, 48 (12), pp.2125-2130. ⟨10.1051/jphys:0198700480120212500⟩. ⟨jpa-00210661⟩