Mapping N-queens to a lattice gas model shows that specific heat converges to a universal curve without phase transition, enabling thermodynamic integration to compute the Simkin constant γ ≈ 1.944 from Monte Carlo data alone.
Bezzel, Schachfreund, Berliner Schachzeitung3, 636 (1848)
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Statistical mechanics of the $N$-queens problem
Mapping N-queens to a lattice gas model shows that specific heat converges to a universal curve without phase transition, enabling thermodynamic integration to compute the Simkin constant γ ≈ 1.944 from Monte Carlo data alone.