Oriented Percolation in One-dimensional 1/vertical bar x-y vertical bar(2) Percolation Models
| Contribuinte(s) |
UNIVERSIDADE DE SÃO PAULO |
|---|---|
| Data(s) |
20/10/2012
20/10/2012
2010
|
| Resumo |
We consider independent edge percolation models on Z, with edge occupation probabilities. We prove that oriented percolation occurs when beta > 1 provided p is chosen sufficiently close to 1, answering a question posed in Newman and Schulman (Commun. Math. Phys. 104: 547, 1986). The proof is based on multi-scale analysis. |
| Identificador |
JOURNAL OF STATISTICAL PHYSICS, v.139, n.6, p.941-959, 2010 0022-4715 http://producao.usp.br/handle/BDPI/29197 10.1007/s10955-010-9966-z |
| Idioma(s) |
eng |
| Publicador |
SPRINGER |
| Relação |
Journal of Statistical Physics |
| Direitos |
restrictedAccess Copyright SPRINGER |
| Palavras-Chave | #Long-range edge percolation model #Oriented percolation #Multi-scale analysis #Dynamical renormalization #RANDOM-CLUSTER MODEL #POTTS MODELS #COULOMB GAS #TRANSITION #PHASE #DISCONTINUITY #UNIQUENESS #Physics, Mathematical |
| Tipo |
article original article publishedVersion |
