منابع مشابه
Bootstrap Percolation in Three Dimensions
Abstract. By bootstrap percolation we mean the following deterministic process on a graph G. Given a set A of vertices ‘infected’ at time 0, new vertices are subsequently infected, at each time step, if they have at least r ∈ N previously infected neighbours. When the set A is chosen at random, the main aim is to determine the critical probability pc(G, r) at which percolation (infection of the...
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In the polluted bootstrap percolation model, vertices of the cubic lattice Z are independently declared initially occupied with probability p or closed with probability q. Under the standard (respectively, modified) bootstrap rule, a vertex becomes occupied at a subsequent step if it is not closed and it has at least 3 occupied neighbors (respectively, an occupied neighbor in each coordinate). ...
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We simulate the bond and site percolation models on a simple-cubic lattice with linear sizes up to L=512, and estimate the percolation thresholds to be p(c)(bond)=0.24881182(10) and p(c)(site)=0.3116077(2). By performing extensive simulations at these estimated critical points, we then estimate the critical exponents 1/ν=1.1410(15), β/ν=0.47705(15), the leading correction exponent y(i)=-1.2(2),...
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ژورنال
عنوان ژورنال: EPL (Europhysics Letters)
سال: 2014
ISSN: 0295-5075,1286-4854
DOI: 10.1209/0295-5075/106/16003