Self-Consistent Effective-Medium Approximations with Path Integrals
| dc.creator | Pellegrini, Yves-Patrick | |
| dc.creator | Barthelemy, Marc | |
| dc.date | 2000-01-17 | |
| dc.date.accessioned | 2026-07-07T09:32:59Z | |
| dc.date.available | 2026-07-07T09:32:59Z | |
| dc.description | We study effective-medium approximations for linear composite media by means of a path integral formalism with replicas. We show how to recover the Bruggeman and Hori-Yonezawa effective-medium formulas. Using a replica-coupling ansatz, these formulas are extended into new ones which have the same percolation thresholds as that of the Bethe lattice and Potts model of percolation, and critical exponents s=0 and t=2 in any space dimension d>= 2. Like the Bruggeman and Hori-Yonezawa formulas, the new formulas are exact to second order in the weak-contrast and dilute limits. The dimensional range of validity of the four effective-medium formulas is discussed, and it is argued that the new ones are of better relevance than the classical ones in dimensions d=3,4 for systems obeying the Nodes-Links-Blobs picture, such as random-resistor networks. | |
| dc.description | 18 pages, 6 eps figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0001223 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0001223 | |
| dc.identifier | Physical Review E 61, 3547 (2000) | |
| dc.identifier | doi:10.1103/PhysRevE.61.3547 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/158978 | |
| dc.subject | Materials Science | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.title | Self-Consistent Effective-Medium Approximations with Path Integrals | |
| dc.type | text |