Europhys. Lett, 48 (2), pp. 122-128 (1999)
Why are the equilibrium properties of two-dimensional random cellular structures so similar?
G. Schliecker 1 and S. Klapp 2
1 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
(received 20 January 1999; accepted in final form 17 August 1999)
PACS. 05.20 - Classical statistical mechanics.
PACS. 64.60Cn - Order-disorder transformations; statistical mechanics of model systems.
PACS. 05.90 - Other topics in statistical physics, thermodynamics, and nonlinear dynamical systems.
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.
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