Hard rods: statistics of parking configurations

Details Hard rods: statistics of parking configurations Hard rods: statistics of parking configurations

2002-11-04

arxiv.org/abs/math/0211046v1

Mathematics

Probability

9 pages, 1 figure

Scientific paper

10.1016/S0378-4371(03)00065-7

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

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