Resistivity of an infinite three dimensional stationary random electric conductor

Jérôme Depauw (1, 2)

1 LMPT - Laboratoire de Mathématiques et Physique Théorique
2 FDP - Fédération de recherche Denis Poisson

The aim of this paper is to prove that the resistivity of an infinite stationary random medium can be computed from one realization. This is accomplished through the application of the pointwise degree 2 ergodic theorem for divergence-free stationary random fields

Keywords: resistivity; conductivity; random media; Disordered systems; ergodic theorem; random fields

Domains: Probability [math.PR]

Jérôme Depauw. Resistivity of an infinite three dimensional stationary random electric conductor. Communications in Mathematical Physics, 2007, 274 (2), pp.381-397. ⟨10.1007/s00220-007-0282-7⟩. ⟨hal-00336466⟩