Exponential Growth of Ponds in Invasion Percolation on Regular Trees
نویسندگان
چکیده
منابع مشابه
Invasion percolation on regular trees
We consider invasion percolation on a rooted regular tree. For the infinite cluster invaded from the root, we identify the scaling behaviour of its r-point function for any r ≥ 2 and of its volume both at a given height and below a given height. In addition, we derive scaling estimates for simple random walk on the cluster starting from the root. We find that while the power laws of the scaling...
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Simultaneous capillary dominated displacement of the wetting and non-wetting phases are processes of interest in many disciplines including modeling of the penetration of polluting liquids in hydrology or the secondary migration in petroleum reservoir engineering. Percolation models and in particular invasion percolation is well suited to characterize the slow immiscible displaceme...
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ژورنال
عنوان ژورنال: Journal of Statistical Physics
سال: 2012
ISSN: 0022-4715,1572-9613
DOI: 10.1007/s10955-012-0509-7