Random walk theory of jamming in a cellular automaton model for traffic flow
| Autor: | Michael Schreckenberg, Andreas Schadschneider, Robert Barlovic |
|---|---|
| Rok vydání: | 2001 |
| Předmět: |
Physics::Physics and Society
Statistics and Probability Statistical Mechanics (cond-mat.stat-mech) Computer science Generalization Separation (aeronautics) FOS: Physical sciences Jamming Physik (inkl. Astronomie) Nonlinear Sciences::Cellular Automata and Lattice Gases Condensed Matter Physics Traffic flow Random walk Cellular automaton Simple (abstract algebra) Statistical physics Special case Condensed Matter - Statistical Mechanics |
| Zdroj: | Physica A: Statistical Mechanics and its Applications. 294:525-538 |
| ISSN: | 0378-4371 |
| DOI: | 10.1016/s0378-4371(01)00111-x |
| Popis: | The jamming behavior of a single lane traffic model based on a cellular automaton approach is studied. Our investigations concentrate on the so-called VDR model which is a simple generalization of the well-known Nagel-Schreckenberg model. In the VDR model one finds a separation between a free flow phase and jammed vehicles. This phase separation allows to use random walk like arguments to predict the resolving probabilities and lifetimes of jam clusters or disturbances. These predictions are in good agreement with the results of computer simulations and even become exact for a special case of the model. Our findings allow a deeper insight into the dynamics of wide jams occuring in the model. 16 pages, 7 figures |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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