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Summary: Eur. Phys. J. B 2, 211220 (1998)
THE EUROPEAN
PHYSICAL JOURNAL B
c
EDP Sciences
Springer-Verlag 1998
The topological structure of 2D disordered cellular systems
H.M. Ohlenbusch, T. Astea
, B. Dubertret, and N. Rivier
´Equipe de Physique Statistique, LDFC, Universit´e Louis Pasteur, 3 rue de l'Universit´e, 67084 Strasbourg, France
Received: 23 September 1997 / Received in final form: 14 January 1998 / Accepted: 29 January 1998
Abstract. We analyze the structure of two dimensional disordered cellular systems generated by extensive
computer simulations. These cellular structures are studied as topological trees rooted on a central cell or
as closed shells arranged concentrically around a germ cell. We single out the most significant parameters
that characterize statistically the organization of these patterns. Universality and specificity in disordered
cellular structures are discussed.
PACS. 82.70.Rr Aerosols and foams 02.50.-r Probability theory, stochastic processes, and statistics
05.70.Ln Nonequilibrium thermodynamics, irreversible processes
1 Introduction
Cellular structures, space-filling disordered patterns, are
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