کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8203789 1530529 2018 5 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Dimension improvement in Dhar's refutation of the Eden conjecture
ترجمه فارسی عنوان
بهبود ابعاد در رد ادعای ادنه
کلمات کلیدی
حدس ادن، شکل محدود ثابت زمانی، نفوذ گذر اول،
موضوعات مرتبط
مهندسی و علوم پایه فیزیک و نجوم فیزیک و نجوم (عمومی)
چکیده انگلیسی
We consider the Eden model on the d-dimensional hypercubical unoriented lattice, for large d. Initially, every lattice point is healthy, except the origin which is infected. Then, each infected lattice point contaminates any of its neighbours with rate 1. The Eden model is equivalent to first passage percolation, with exponential passage times on edges. The Eden conjecture states that the limit shape of the Eden model is a Euclidean ball. By pushing the computations of Dhar [5] a little further with modern computers and efficient implementation we obtain improved bounds for the speed of infection. This shows that the Eden conjecture does not hold in dimension superior to 22 (the lowest known dimension was 35).
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physics Letters A - Volume 382, Issue 11, 23 March 2018, Pages 761-765
نویسندگان
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