Cluster expansion in cite percolation problem on cubic lattice

The cluster expansion of the Bernoulli random field percolation probability of the cubic lattice has been built. On its basis, it has been obtained the upper guaranteed estimate of the percolation threshold and corresponding accuracy estimates are proposed when some approximations are built.

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Bibliographic Details
Date:2012
Main Authors: Antonova, E.S., Virchenko, Yu.P.
Format: Article
Language:English
Published: Belgorod State University 2012
Series:Вопросы атомной науки и техники
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Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/107533
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Cluster expansion in cite percolation problem on cubic lattice / E.S. Antonova, Yu.P. Virchenko // Вопросы атомной науки и техники. — 2012. — № 1. — С. 321-323. — Бібліогр.: 3 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Summary:The cluster expansion of the Bernoulli random field percolation probability of the cubic lattice has been built. On its basis, it has been obtained the upper guaranteed estimate of the percolation threshold and corresponding accuracy estimates are proposed when some approximations are built.