Random Sequential Adsorption — Car Parking Problem

Rényi's parking constant θ* = 2(1−e^{−2})/2 ≈ 0.7476795... — jamming limit on [0,L]
Rényi's parking problem (1958): randomly place unit intervals on [0, L] one at a time (RSA), rejecting overlaps. What fraction of the line is covered at jamming? Answer: θ* = 1−e^{−2} ≈ 0.8647 (average coverage per unit car). In 2D, RSA of disks jams at ≈ 0.547 (vs. 0.9069 for hexagonal packing). RSA appears in protein adsorption, colloidal monolayers, and polymer deposition. The jamming limit is approached logarithmically slowly near saturation.
Parking simulation (1D intervals or 2D disks)
Coverage vs attempts
Coverage: 0% | Placed: 0 | Attempts: 0