Planar lattice gases with nearest-neighbour exclusion

Details Planar lattice gases with nearest-neighbour exclusion Planar lattice gases with nearest-neighbour exclusion

1998-11-18

arxiv.org/abs/cond-mat/9811264v3

Ann.Comb.3:191-203,1999

Physics

Condensed Matter

Statistical Mechanics

16 pages, 2 built-in Latex figures, 4 tables

Scientific paper

10.1007/BF01608783

We discuss the hard-hexagon and hard-square problems, as well as the corresponding problem on the honeycomb lattice. The case when the activity is unity is of interest to combinatorialists, being the problem of counting binary matrices with no two adjacent 1's. For this case we use the powerful corner transfer matrix method to numerically evaluate the partition function per site, density and some near-neighbour correlations to high accuracy. In particular for the square lattice we obtain the partition function per site to 43 decimal places.

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