Field distributions and effective-medium approximation for weakly nonlinear media
| dc.creator | Pellegrini, Yves-Patrick | |
| dc.date | 2000-01-17 | |
| dc.date.accessioned | 2026-07-07T09:32:59Z | |
| dc.date.available | 2026-07-07T09:32:59Z | |
| dc.description | An effective-medium theory is proposed for random weakly nonlinear dielectric media. It is based on a new gaussian approximation for the probability distributions of the electric field in each component of a multi-phase composite. These distributions are computed to linear order from a Bruggeman-like self-consistent formula. The resulting effective-medium formula for the nonlinear medium reduces to Bruggeman's in the linear case. It is exact up to second order in a weak-disorder expansion, and close to the exact result in the dilute limit (in particular, it is exact for d=1 and d=infinity. In a high contrast situation, the noise exponents are kappa=kappa'=0 near the percolation threshold. Numerical results are provided for different weak nonlinearities. | |
| dc.description | 12 pages, 6 eps figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0001228 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0001228 | |
| dc.identifier | Physical Review B 61, 9365 (2000) | |
| dc.identifier | doi:10.1103/PhysRevB.61.9365 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/158979 | |
| dc.subject | Materials Science | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.title | Field distributions and effective-medium approximation for weakly nonlinear media | |
| dc.type | text |