| dc.contributor | 應用數學系 | - |
| dc.creator (作者) | 張書銓; 陳隆奇 | zh_TW |
| dc.creator (作者) | Chang, Shu-Chiuan;Chen, Lung-Chi | - |
| dc.date (日期) | 2015-10 | - |
| dc.date.accessioned | 13-Jan-2016 16:22:46 (UTC+8) | - |
| dc.date.available | 13-Jan-2016 16:22:46 (UTC+8) | - |
| dc.date.issued (上傳時間) | 13-Jan-2016 16:22:46 (UTC+8) | - |
| dc.identifier.uri (URI) | http://nccur.lib.nccu.edu.tw/handle/140.119/80553 | - |
| dc.description.abstract (摘要) | We consider a version of directed bond percolation on the honeycomb lattice as a brick lattice such that vertical edges are directed upward with probability y, and horizontal edges are directed rightward with probabilities x and one in alternate rows. Let Ï(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 xâ(0,1], yâ(0,1] and aspect ratio α=M/N fixed, we show that there is a critical value αc=(1âx+xy)(1+xâxy)/(xy2) such that as Nââ, Ï(M,N) is 1, 0 and 1/2 for α>αc, α<αc and α=αc, respectively. We also investigate the rate of convergence of Ï(M,N) and the asymptotic behavior of View the MathML source and View the MathML source where View the MathML source and View the MathML source as Nââ. | - |
| dc.format.extent | 548600 bytes | - |
| dc.format.mimetype | application/pdf | - |
| dc.relation (關聯) | Physica A, 436, 547-557 | - |
| dc.subject (關鍵詞) | DomanyâKinzel model; Directed percolation; Random walk; Asymptotic behavior; BerryâEsseen theorem; Large deviation | - |
| dc.title (題名) | Asymptotic behavior for a version of directed percolation on the honeycomb lattice | - |
| dc.type (資料類型) | article | - |
| dc.identifier.doi (DOI) | 10.1016/j.physa.2015.05.083 | - |
| dc.doi.uri (DOI) | http://dx.doi.org/10.1016/j.physa.2015.05.083 | - |
