J. Phys. I France
Volume 3, Numéro 9, September 1993
Page(s) 1941 - 1951
DOI: 10.1051/jp1:1993222
J. Phys. I France 3 (1993) 1941-1951

Statistical laws and mechanics of Voronoi random lattices

Kent Bækgaard Lauritsen, Cristian Moukarzel and Hans J. Herrmann

HLRZ, Forschungszentrum Jülich, D-52425 Jülich, Germany

(Received 21 April 1993, accepted 5 May 1993)

We investigate random lattices where the connectivities are determined by the Voronoi construction, while the location of the points are the dynamic degrees of freedom. The Voronoi random lattices with an associated energy are immersed in a heat bath and investigated using a Monte Carlo simulation algorithm. In thermodynamic equilibrium we measure coordination number distributions and test the Aboav-Weaire and Lewis laws.

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