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Critical probability of percolation over bounded region in N-dimensional Euclidean space

Abstract : Following Tomita and Murakami (Research of Pattern Formation ed R Takaki (Tokyo: KTK Scientific Publishers) pp 197–203) we propose an analytical model to predict the critical probability of percolation. It is based on the excursion set theory which allows us to consider N-dimensional bounded regions. Details are given for the three-dimensional (3D) case and statistically representative volume elements are calculated. Finally, generalisation to the N-dimensional case is made.
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Contributor : Marie-Christine Nodot <>
Submitted on : Thursday, April 21, 2016 - 4:49:28 PM
Last modification on : Friday, April 10, 2020 - 10:02:03 AM

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Emmanuel Roubin, Jean-Baptiste Colliat. Critical probability of percolation over bounded region in N-dimensional Euclidean space. Journal of Statistical Mechanics: Theory and Experiment, IOP Publishing, 2016, 2016, pp.033306. ⟨10.1088/1742-5468/2016/03/033306⟩. ⟨hal-01305745⟩

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