Abstract
The recently suggested correspondence between domain dynamics of traffic models and the asymmetric chipping model is reviewed. It is observed that in many cases traffic domains perform the two characteristic dynamical processes of the chipping model, namely chipping and diffusion. This correspondence indicates that jamming in traffic models in which all dynamical rates are non-deterministic takes place as a broad crossover phenomenon, rather than a sharp transition. Two traffic models are studied in detail and analyzed within this picture.
Original language | English (US) |
---|---|
Pages (from-to) | 636-646 |
Number of pages | 11 |
Journal | Physica A: Statistical Mechanics and its Applications |
Volume | 340 |
Issue number | 4 SPEC. ISS. |
DOIs | |
State | Published - Sep 15 2004 |
Bibliographical note
Funding Information:We thank M.R. Evans and J.L. Lebowitz for useful discussions. The support of the Israel Science Foundation (ISF) and NSF Grant DMR 01-279-26 is gratefully acknowledged.
Keywords
- Phase separation
- Stochastic processes
- Transportation