Related Experiment Video
Updated: Jul 4, 2026

Finite Element Modelling of a Cellular Electric Microenvironment
Published on: May 18, 2021
Nonuniversal conductivity exponents in continuum percolating Gaussian fractures
F Flukiger1, F Plouraboué, M Prat
1Institut de Mécanique des Fluides de Toulouse, U.M.R. C.N.R.S.-INP/UPS, N5502 Avenue du Professeur Camille Soula 31400 Toulouse, France.
Abstract:
We study the electrical and hydraulic conductivity percolation exponents in a Gaussian fracture using the method proposed in Plouraboué [Phys. Rev. E 73, 036305 (2006)]. Nonuniversal conductivity percolation exponents are found: they differ from the theoretical predictions for infinite system size for frozen power-law distributions of local conductivities, as with their finite size corrections. In the hydraulic case, we also find that the probability density function of the conductivity follows a power-law distribution near the percolation threshold.
Related Concept Videos
Debye–Huckel–Onsager Conductance Equation
Theory of Metallic Conduction
In this theory, Newton's second law of motion is used to determine the acceleration of an electron in the presence of an applied electric field. Then, its velocity is expressed via this acceleration.
An electron moves through the crystal, containing positive ions,...
Electrical Conductivity
In a practical conductor, an applied electric field may be sustained, causing a flow of electrons, which produce a current. The differential form of the current, the current density, is related to the electric field.
More generally, it is related to the force per unit charge, which involves the...
Kohlraush’s Law and its Applications
Boundary Conditions for Current Density
Gauss's Law: Problem-Solving
