Abstract
We provide an explicit construction of the thermodynamic jamming limit for the parking process and other finite range exclusion schemes on \({\mathbb Z}^{d}\). By means thereof, a strong law of large numbers for occupation densities is accomplished, and, amongst other results, the so called “super-exponential” (i.e. gamma) decay of pair correlation functions is established.
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Mathematics Subject Classification (1991): 60K99
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Ritchie, T.L. Construction of the Thermodynamic Jamming Limit for the Parking Process and Other Exclusion Schemes on \({\mathbb Z}^{d}\). J Stat Phys 122, 381–398 (2006). https://doi.org/10.1007/s10955-005-8025-7
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DOI: https://doi.org/10.1007/s10955-005-8025-7