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Article Dans Une Revue Journal of Statistical Mechanics: Theory and Experiment Année : 2016

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

Résumé

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.

Dates et versions

hal-01305745 , version 1 (21-04-2016)

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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, 2016, 2016, pp.033306. ⟨10.1088/1742-5468/2016/03/033306⟩. ⟨hal-01305745⟩

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