Volume 45, Number 2, January 1999
|Page(s)||143 - 148|
|Published online||01 September 2002|
T1-correlations in two-dimensional cellular systems
Laboratoire de Dynamique des Fluides Complexes,
Université Louis Pasteur
3 rue de l'Université, Strasbourg 67084 France
2 Department of Physics, The Hong Kong University of Science and Technology Clear Water Bay, Kowloon, Hong Kong
Accepted: 18 November 1998
A new concept of T1-neighbors defined as non-neighboring cells linked by one edge is used for the analysis of the two cell correlators (average number of pairs of k-cell and n-cell that are T1- neighbors) in two-dimensional cellular systems. In experimental dry soap froth, the two cell correlators are found to be linear in both k and n for the nearest T1 neighbors. This result is the analogous version of the Aboav-Weaire law using T1-neighbors and reveals longer range correlation beyond the traditional nearest neighbor analysis.
PACS: 05.20.-y – Classical statistical mechanics / 02.40.-k – Geometry, differential geometry, and topology / 64.60.Cn – Order-disorder transformations; statistical mechanics of model systems
© EDP Sciences, 1999
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