Geometry of fully coordinated, two-dimensional percolation
نویسندگان
چکیده
منابع مشابه
A pr 1 99 9 Geometry of fully coordinated , two - dimensional percolation
We study the geometry of the critical clusters in fully coordinated percolation on the square lattice. By Monte Carlo simulations (static exponents) and normal mode analysis (dynamic exponents), we find that this problem is in the same universality class with ordinary percolation statically but not so dynamically. We show that there are large differences in the number and distribution of the in...
متن کاملCluster Analysis for Percolation on Two Dimensional Fully Frustrated System
The percolation of Kandel, Ben-Av and Domany clusters for 2d fully frustrated Ising model is extensively studied through numerical simulations. Critical exponents, cluster distribution and fractal dimension of percolative cluster are given.
متن کاملTwo-Dimensional Critical Percolation
We use SLE6 paths to construct a process of continuum nonsimple loops in the plane and prove that this process coincides with the full continuum scaling limit of 2D critical site percolation on the triangular lattice – that is, the scaling limit of the set of all interfaces between different clusters. Some properties of the loop process, including conformal invariance, are also proved. In the m...
متن کاملMaximum Percolation Time in Two-Dimensional Bootstrap Percolation
We consider a classical model known as bootstrap percolation on the n×n square grid. To each vertex of the grid we assign an initial state, infected or healthy, and then in consecutive rounds we infect every healthy vertex that has at least 2 already infected neighbours. We say that percolation occurs if the whole grid is eventually infected. In this paper, contributing to a recent series of ex...
متن کاملThe geometry of percolation fronts in two- dimensional lattices with spatially varying densities
Percolation theory is usually applied to lattices with a uniform probability p that a site is occupied or that a bond is closed. The more general case, where p is a function of the position x , has received less attention. Previous studies with long-range spatial variations in p(x) have only investigated cases where p has a finite, non-zero gradient at the critical point pc. Here we extend the ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review E
سال: 1999
ISSN: 1063-651X,1095-3787
DOI: 10.1103/physreve.60.3670