Please use this identifier to cite or link to this item:
https://ah.lib.nccu.edu.tw/handle/140.119/80556
DC Field | Value | Language |
---|---|---|
dc.contributor | 應數系 | - |
dc.creator | 陳隆奇 | zh_TW |
dc.creator | Chen, Lung-Chi | en_US |
dc.creator | Chang, Shu-Chiuan | en_US |
dc.date | 2014-05 | - |
dc.date.accessioned | 2016-01-13T08:23:26Z | - |
dc.date.available | 2016-01-13T08:23:26Z | - |
dc.date.issued | 2016-01-13T08:23:26Z | - |
dc.identifier.uri | http://nccur.lib.nccu.edu.tw/handle/140.119/80556 | - |
dc.description.abstract | We consider a version of directed bond percolation on the triangular lattice such that vertical edges are directed upward with probability y, diagonal edges are directed from lower-left to upper-right or lower-right to upper-left with probability d, and horizontal edges are directed rightward with probabilities x and one in alternate rows. Let τ(M,N) be the probability that there is at least one connected-directed path of occupied edges from (0,0) to (M,N). For each x∈[0,1], y∈[0,1), d∈[0,1) but (1−y)(1−d)≠1 and aspect ratio α=M/N fixed for the triangular lattice with diagonal edges from lower-left to upper-right, we show that there is an αc=(d−y−dy)/[2(d+y−dy)]+[1−(1−d)2(1−y)2x]/[2(d+y−dy)2] such that as N→∞, τ(M,N) is 1, 0 and 1/2 for α>αc, α<αc and α=αc, respectively. A corresponding result is obtained for the triangular lattice with diagonal edges from lower-right to upper-left. We also investigate the rate of convergence of τ(M,N) and the asymptotic behavior of τ(M−N,N) and τ(M+N,N) where M−N/N↑αc and M+N/N↓αc as N↑∞. | - |
dc.format.extent | 535866 bytes | - |
dc.format.mimetype | application/pdf | - |
dc.relation | Journal of Statistical Physics, 155(3), 500-522 | - |
dc.subject | Domany–Kinzel; model; Directed percolation; Random walk; Asymptotic behavior; Berry–Esseen theorem; Large deviation | - |
dc.title | Asymptotic Behavior for a Version of Directed Percolation on the Triangular Lattice | - |
dc.type | article | - |
dc.identifier.doi | 10.1007/s10955-014-0961-7 | - |
dc.doi.uri | http://dx.doi.org/10.1007/s10955-014-0961-7 | - |
item.cerifentitytype | Publications | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.openairetype | article | - |
item.fulltext | With Fulltext | - |
item.grantfulltext | restricted | - |
Appears in Collections: | 期刊論文 |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
500522.pdf | 523.31 kB | Adobe PDF2 | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.