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Statistical Laws and Mechanics of Voronoi Random Lattices

1993/04/06 by K. B. Lauritsen, C. Moukarzel, H. J. Herrmann
Physics and Astronomy · #cond-mat #hep-lat

paper · pdf

published as J.Phys.I(France) 3 (1993) 1941-1951 · 14 pages (figures not included), LaTeX, HLRZ-26/93

arxiv created 1993/04/06 · arxiv updated 2009/11/30

Abstract

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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