Nonlinear Sciences – Cellular Automata and Lattice Gases
Scientific paper
2010-10-31
Nonlinear Sciences
Cellular Automata and Lattice Gases
17 pages, 11 figures
Scientific paper
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 $N$ 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.
Hrabak Pavel
Krbalek Milan
No associations
LandOfFree
Inter-particle gap distribution and spectral rigidity of totally asymmetric simple exclusion process with open boundaries does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Inter-particle gap distribution and spectral rigidity of totally asymmetric simple exclusion process with open boundaries, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Inter-particle gap distribution and spectral rigidity of totally asymmetric simple exclusion process with open boundaries will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-663974