کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1156953 | 958901 | 2009 | 15 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Large scale properties of the IIIC for 2D percolation
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات (عمومی)
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چکیده انگلیسی
We reinvestigate the 2D problem of the inhomogeneous incipient infinite cluster where, in an independent percolation model, the density decays to pcpc with an inverse power, λλ, of the distance to the origin. Assuming the existence of critical exponents (as is known in the case of the triangular site lattice) if the power is less than 1/ν1/ν, with νν the correlation length exponent, we demonstrate an infinite cluster with scale dimension given by DH=2−βλDH=2−βλ. Further, we investigate the critical case λc=1/νλc=1/ν and show that iterated logarithmic corrections will tip the balance between the possibility and impossibility of an infinite cluster.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Stochastic Processes and their Applications - Volume 119, Issue 3, March 2009, Pages 882–896
Journal: Stochastic Processes and their Applications - Volume 119, Issue 3, March 2009, Pages 882–896
نویسندگان
L. Chayes, P. Nolin,