Topological correlations and asymptotic freedom in cellular aggregates

Autor:	Miri, Faez, Oguey, Christophe
Rok vydání:	2007
Předmět:	Condensed Matter - Soft Condensed Matter
Zdroj:	Colloids and Surfaces A: Physicochem. Eng. Aspects 309 (2007) 107-111
Druh dokumentu:	Working Paper
DOI:	10.1016/j.colsurfa.2007.01.013
Popis:	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. Comment: Available online at http://www.sciencedirect.com
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0709.2062 Zobrazit plný text záznamu View this record from Arxiv