Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2011-09-08
Physics
Condensed Matter
Statistical Mechanics
28 pages, 8 figures
Scientific paper
The slow-to-start mechanism is known to play an important role in the particular shape of the Fundamental diagram of traffic and to be associated to hysteresis effects of traffic flow.We study this question in the context of exclusion and queueing processes,by including an asymmetry between deceleration and acceleration in the formulation of these processes. For exclusions processes, this corresponds to a multi-class process with transition asymmetry between different speed levels, while for queueing processes we consider non-reversible stochastic dependency of the service rate w.r.t the number of clients. The relationship between these 2 families of models is analyzed on the ring geometry, along with their steady state properties. Spatial condensation phenomena and metastability is observed, depending on the level of the aforementioned asymmetry. In addition we provide a large deviation formulation of the fundamental diagram (FD) which includes the level of fluctuations, in the canonical ensemble when the stationary state is expressed as a product form of such generalized queues.
Furtlehner Cyril
Lasgouttes Jean-Marc
Samsonov Maxim
No associations
LandOfFree
One-dimensional Particle Processes with Acceleration/Braking Asymmetry 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 One-dimensional Particle Processes with Acceleration/Braking Asymmetry, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and One-dimensional Particle Processes with Acceleration/Braking Asymmetry will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-475539