کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
7374926 | 1480067 | 2018 | 16 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Asymptotic behavior for a long-range Domany-Kinzel model
ترجمه فارسی عنوان
رفتار وابسته به یک مدل دونانی-کینزل درازایی
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
فیزیک ریاضی
چکیده انگلیسی
We consider a long-range Domany-Kinzel model proposed by Li and Zhang (1983), such that for every site (i,j) in a two-dimensional rectangular lattice there is a directed bond present from site (i,j) to (i+1,j) with probability one. There are also m+1 directed bounds present from (i,j) to (iâk+1,j+1), k=0,1,â¦,m with probability pkâ[0,1), where m is a non-negative integer. Let Ïm(M,N) be the probability that there is at least one connected-directed path of occupied edges from (0,0) to (M,N). Defining the aspect ratio α=MâN, we derive the correct critical value αm,câR such that as Nââ, Ïm(M,N) converges to 1, 0 and 1â2 for α>αm,c, α<αm,c and α=αm,c, respectively, and we study the rate of convergence. Furthermore, we investigate the cases in the infinite m limit. Specifically, we discuss in details the case such that pnâ[0,1) with nâZ+ and pnânââpnâs for pâ(0,1) and s>0. We find that the behavior of limmââÏm(M,N) for this case highly depends on the value of s and how fast one approaches to the critical aspect ratio. The present study corrects and extends the results given in Li and Zhang (1983).
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica A: Statistical Mechanics and its Applications - Volume 506, 15 September 2018, Pages 112-127
Journal: Physica A: Statistical Mechanics and its Applications - Volume 506, 15 September 2018, Pages 112-127
نویسندگان
Shu-Chiuan Chang, Lung-Chi Chen,