Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2007-09-13
Colloids and Surfaces A: Physicochem. Eng. Aspects 309 (2007) 107-111
Physics
Condensed Matter
Soft Condensed Matter
Available online at http://www.sciencedirect.com
Scientific paper
10.1016/j.colsurfa.2007.01.013
In random cellular systems, both observation and maximum entropy inference give a specific form to the topological pair correlation: it is bi-affine in the cells number of edges with coefficients depending on the distance between the two cells of the pair. Assuming this form for the pair correlations, we make explicit the conditions of statistical independence at large distance. When, on average, the defects do not contribute, the layer population and the enclosed topological charge both increase polynomially with distance. In dimension 2, the exponent of the leading terms depend on sum rules satisfied, or not, by the maximum entropy coefficients.
Miri Faez
Oguey Christophe
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