Inter-particle gap distribution and spectral rigidity of totally asymmetric simple exclusion process with open boundaries
Abstract
We consider the one-dimensional totally asymmetric simple exclusion model (TASEP model) with open boundary conditions and present the analytical computations leading to the exact formula for distance clearance distribution, i.e. probability density for a clear distance between subsequent particles of the model. The general relation is rapidly simplified for middle part of the one-dimensional lattice using the large approximation. Both the analytical formulas and their approximations are successfully compared with the numerical representation of the TASEP model. Furthermore, we introduce the pertinent estimation for so-called spectral rigidity of the model. The results obtained are sequentially discussed within the scope of vehicular traffic theory.
Keywords
Cite
@article{arxiv.1011.0196,
title = {Inter-particle gap distribution and spectral rigidity of totally asymmetric simple exclusion process with open boundaries},
author = {Milan Krbalek and Pavel Hrabak},
journal= {arXiv preprint arXiv:1011.0196},
year = {2018}
}
Comments
17 pages, 11 figures