On the effective conductivity of flat random two-phase models
| dc.creator | Bulgadaev, S. A. | |
| dc.date | 2004-03-09 | |
| dc.date.accessioned | 2026-07-07T02:56:52Z | |
| dc.date.available | 2026-07-07T02:56:52Z | |
| dc.description | An approximate equation for the effective conductivity sigma_eff of systems with a finite maximal scale of inhomogeneities is deduced. An exact solution of this equation is found and its physical meaning is discussed. A two-phase randomly inhomogeneous model is constructed by a hierarchical method and its effective conductivity at arbitrary phase concentrations is found in the mean-field-like approximation. These expressions satisfy all the necessary symmetries, reproduce the known formulas for sigma_eff in the weakly inhomogeneous case and coincide with two recently found partial solutions of the duality relation. It means that sigma_eff even of two-phase randomly inhomogeneous system may be a nonuniversal function and can depend on some details of the structure of the inhomogeneous regions. The percolation limit is briefly discussed. | |
| dc.description | 8 pages, 2 figures, Latex2e | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0403256 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0403256 | |
| dc.identifier | Europhys.Lett. 64 (2003) 482 - 488 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/23499 | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.subject | Statistical Mechanics | |
| dc.title | On the effective conductivity of flat random two-phase models | |
| dc.type | text |