The survey summarizes critical exponents τ=15/7, d_f=7/4, and σ=3/7 for closed trajectories in 2D Lorentz lattice gases across several universality classes, linking them to percolation-hull scaling.
Smirnov,Critical percolation in the plane: conformal invariance, Cardy’s formula, and scaling limits, C
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Survey on Lattice Gas Models on 2D Lattices: Critical Behavior of Closed Trajectories
The survey summarizes critical exponents τ=15/7, d_f=7/4, and σ=3/7 for closed trajectories in 2D Lorentz lattice gases across several universality classes, linking them to percolation-hull scaling.