Construction of the Thermodynamic Jamming Limit for the Parking Process and Other Exclusion Schemes on Z^d
Probability
2007-05-23 v2 Mathematical Physics
math.MP
Abstract
We provide an explicit construction of the thermodynamic jamming limit for the parking process and other finite range exclusion schemes on 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.
Keywords
Cite
@article{arxiv.math/0412343,
title = {Construction of the Thermodynamic Jamming Limit for the Parking Process and Other Exclusion Schemes on Z^d},
author = {Thomas Logan Ritchie},
journal= {arXiv preprint arXiv:math/0412343},
year = {2007}
}
Comments
18 pages