Volume 48, Number 2, October II 1999
|Page(s)||122 - 128|
|Published online||01 September 2002|
Why are the equilibrium properties of two-dimensional random cellular structures so similar?
Max-Planck-Institut für Physik Komplexer Systeme Nöthnitzer Str. 38, D-01187 Dresden, Germany
2 Department of Chemistry, University of British Columbia Vancouver, British Columbia, V6T 1Y6, Canada
Accepted: 17 August 1999
We develop a statistical-mechanics approach for the equilibrium properties of two-dimensional random cellular structures. Determining both one- and two-point correlation functions, the calculation of various experimentally studied quantities is performed. This enables us to compare our results with experimental and simulated data. Our approach is based on a Hamiltonian of interacting topological charges. It turns out that already the simplest construction of this Hamiltonian reproduces the empirically observed topological laws.
PACS: 05.20.-y – Classical statistical mechanics / 64.60.Cn – Order-disorder transformations; statistical mechanics of model systems / 05.90.+m – Other topics in statistical physics, thermodynamics, and nonlinear dynamical systems
© EDP Sciences, 1999
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