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Hard rods: statistics of parking configurations

Francois Dunlop·Thierry Huillet
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Abstract

We compute the correlation function in the equilibrium version of Rényi's {\sl parking problem}. The correlation length is found to diverge as $2^{-1}π^{-2}(1-ρ)^{-2}$ when $ρ\nearrow1$ (maximum density) and as $π^{-2}(2ρ-1)^{-2}$ when $ρ\searrow1/2$ (minimum density).

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Francois Dunlop, Thierry Huillet. 2002-11-04. Hard rods: statistics of parking configurations. https://doi.org/10.1016/s0378-4371(03)00065-7

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