Issue |
Europhys. Lett.
Volume 45, Number 2, January 1999
|
|
---|---|---|
Page(s) | 143 - 148 | |
Section | General | |
DOI | https://doi.org/10.1209/epl/i1999-00138-7 | |
Published online | 01 September 2002 |
T1-correlations in two-dimensional cellular systems
1
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
Received:
7
January
1998
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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