Abstract
We describe a family of random lattices in which the connectivity is determined by the Voronoi construction while the vectorizability is not lost. We can continuously vary the degree of randomness so in a certain limit a regular lattice is recovered. Several statistical properties of the cells and bonds of these lattices are measured. We also study anisotropy effects on the numerical solution of the Laplace equation for varying degrees of randomness.
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References
N. H. Christ, R. Friedberg, and T. D. Lee,Nucl. Phys. B 202:89 (1982).
R. Collins, inPhase Transitions and Critical Phenomena, Vol. 2, C. Domb and H. S. Green, ed. (Academic Press, London, 1972), p. 275.
C. Itzykson, Fields on a random lattice, inProgress in Gauge Field Theory, G. 't Hooft, ed. (Plenum Press, New York, 1983).
A. L. Hinde and R. E. Miles,J. Stat. Comput. Simul. 10:205 (1980).
C. Tang,Phys. Rev. A 31:1977 (1985); J. Szép, J. Czerti, and J. Kertesz,J. Phys. A: Math. Gen. 18:L413 (1985); J. Nittmann and H. E. Stanley,Nature 321:633 (1986).
R. Friedberg and H. C. Ren,Nucl. Phys. B 235[FS11]:310 (1984).
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Moukarzel, C., Herrmann, H.J. A vectorizable random lattice. J Stat Phys 68, 911–923 (1992). https://doi.org/10.1007/BF01048880
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DOI: https://doi.org/10.1007/BF01048880