Area distribution of the planar random loop boundary

Details Area distribution of the planar random loop boundary Area distribution of the planar random loop boundary

2003-11-14

arxiv.org/abs/cond-mat/0311346v2

J. Phys. A: Math. Gen. 37 (2003), 4493-4500

Physics

Condensed Matter

Statistical Mechanics

10 pages, 2 figures. v2: minor changes, version as published

Scientific paper

10.1088/0305-4470/37/16/002

We numerically investigate the area statistics of the outer boundary of
planar random loops, on the square and triangular lattices. Our Monte Carlo
simulations suggest that the underlying limit distribution is the Airy
distribution, which was recently found to appear also as area distribution in
the model of self-avoiding loops.

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