Equilibrium distributions in thermodynamical traffic gas
arXiv:cond-mat/0603375 · doi:10.1088/1751-8113/40/22/004
Abstract
We derive the exact formula for thermal-equilibrium spacing distribution of one-dimensional particle gas with repulsive potential V(r)=r^(-a) (a>0) depending on the distance r between the neighboring particles. The calculated distribution (for a=1) is successfully compared with the highway-traffic clearance distributions, which provides a detailed view of changes in microscopical structure of traffic sample depending on traffic density. In addition to that, the observed correspondence is a strong support of studies applying the equilibrium statistical physics to traffic modelling.
5 pages, 6 figures, changed content, added references
References in corpus (5)
- Traffic and Related Self-Driven Many-Particle Systems
- Gas-Kinetic-Based Traffic Model Explaining Observed Hysteretic Phase Transition
- Single-vehicle data of highway traffic - a statistical analysis
- Short-range plasma model for intermediate spectral statistics
- Determination of Interaction Potentials in Freeway Traffic from Steady-State Statistics
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- Approximate Hamiltonian Statistics in One-dimensional Driven Dissipative Many-Particle Systems
- Empirical Study of Traffic Velocity Distribution and its Effect on VANETs Connectivity
- A Markov Process Inspired Cellular Automata Model of Road Traffic
- Inter-vehicle gap statistics on signal-controlled crossroads
- Experimental study of short range interactions in vehicular traffic
- Theoretical predictions for vehicular headways and their clusters
- Vehicular headways on signalized intersections: theory, models, and reality
- Inner structure of vehicular ensembles and random matrix theory
- Inter-particle gap distribution and spectral rigidity of totally asymmetric simple exclusion process with open boundaries
- Time-headway distribution for periodic totally asymmetric exclusion process with various updates
- Statistical mechanics of non-hamiltonian systems: Traffic flow
- Interacting Steps With Finite-Range Interactions: Analytical Approximation and Numerical Results
- 3s-Unification for Vehicular Headway Modeling