Directed compact percolation near a wall: III. Exact results for the mean length and number of contacts

Brak, R and Essam, J W

(1999)

Brak, R and Essam, J W (1999) Directed compact percolation near a wall: III. Exact results for the mean length and number of contacts. Journal of Physics A: Mathematical and General, 32 (2).

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Abstract

Existing exact results for the percolation probability and mean cluster size for compact percolation near a dry wall are extended to the mean cluster length and the mean number of contacts with the wall. The results are derived from our previous work on vesicles near an attractive wall and involve elliptic integrals as opposed to the simple rational forms found for the percolation probability and cluster size below p_c. The results for the cluster length satisfy previously conjectured differential equations. A closed expression is conjectured for the mean size above p_c in terms of a hypergeometric function.

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This is a Published version
This version's date is: 15/01/1999
This item is peer reviewed

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https://repository.royalholloway.ac.uk/items/1e24d41b-f727-fc9f-cead-21702ee4aba5/1/

Item TypeJournal Article
TitleDirected compact percolation near a wall: III. Exact results for the mean length and number of contacts
AuthorsBrak, R
Essam, J W
Uncontrolled Keywordspercolation probability, cluster size, walls, elliptic integrals, hypergeometric function
DepartmentsFaculty of Science\Physics
Faculty of Science\Mathematics

Identifiers
doi10.1088/0305-4470/32/2/010

Deposited by () on 23-Dec-2009 in Royal Holloway Research Online.Last modified on 23-Dec-2009

Notes

Published as J. Phys. A: Math. Gen. 32 355-367. Journal of Physics A: Mathematical and General copyright 1999 IoP Publishing Ltd.

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