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A microscopic criterion for distinguishing synchronized flow and wide moving jam phases in single vehicle data measured at a single freeway location is presented. Empirical local congested traffic states in single vehicle data measured on…

Physics and Society · Physics 2009-11-11 Boris S. Kerner , Sergey L. Klenov , Andreas Hiller

We study the phenomenon of jamming in driven diffusive systems. We introduce a simple microscopic model in which jamming of a conserved driven species is mediated by the presence of a non-conserved quantity, causing an effective long range…

Statistical Mechanics · Physics 2009-10-30 O. J. O'Loan , M. R. Evans , M. E. Cates

A two-dimensional cellular automaton model of traffic flow with open boundaries are investigated by computer simulations. The outflow of cars from the system and the average velocity are investigated. The time sequences of the outflow and…

adap-org · Physics 2009-10-28 Shin-ichi Tadaki

We suggest a disordered traffic flow model that captures many features of traffic flow. It is an extension of the Nagel-Schreckenberg (NaSch) stochastic cellular automata for single line vehicular traffic model. It incorporates random…

Physics and Society · Physics 2009-11-11 K. Fourrate , M. Loulidi

We investigate the nonequilibrium roughening transition of a one-dimensional restricted solid-on-solid model by directly sampling the stationary probability density of a suitable order parameter as the surface adsorption rate varies. The…

Statistical Mechanics · Physics 2012-05-10 J. Ricardo G. Mendonça

Geometrical properties of two-dimensional mixtures near the jamming transition point are numerically investigated using harmonic particles under mechanical training. The configurations generated by the quasi-static compression and…

We study an ensemble of random walkers carrying internal noisy phase oscillators which are synchronized among the walkers by local interactions. Due to individual mobility, the interaction partners of every walker change randomly, hereby…

Statistical Mechanics · Physics 2016-05-04 Robert Großmann , Fernando Peruani , Markus Bär

Congestion and extreme events in transportation networks are emergent phenomena with significant socio-economic implications. In this work, we study congestion and extreme event properties on real urban street (planar) networks drawn from…

Physics and Society · Physics 2025-05-22 Ajay Agarwal , M. S. Santhanam

First we consider a unidirectional flux \omega_bar of vehicles each of which is characterized by its `natural' velocity v drawn from a distribution P(v). The traffic flow is modeled as a collection of straight `world lines' in the…

Statistical Mechanics · Physics 2015-05-19 C. Appert-Rolland , H. J. Hilhorst , G. Schehr

We derive the critical behavior of a CA traffic flow model using an order parameter breaking the symmetry of the jam-free phase. Random braking appears to be the symmetry-breaking field conjugate to the order parameter. For $v_{\max}=2$, we…

Disordered Systems and Neural Networks · Physics 2009-10-31 N. Boccara , H. Fukś

Traffic congestion, a daily frustration for millions and a multi-billion dollar drain on economies, has long resisted deep physical understanding. While simple theoretical models of traffic flow have suggested connections to critical…

Chaotic Dynamics · Physics 2025-07-15 Garyoung Lee , Aryaman Jha , Kurt Wiesenfeld , Jorge Laval

We study a system of interacting self-propelled particles whose walking velocity depends on the stage of the locomotion cycle. The model introduces a phase equation in the optimal velocity model for vehicular traffic. We find that the…

Physics and Society · Physics 2015-06-23 Takahiro Ezaki , Ryosuke Nishi , Daichi Yanagisawa , Katsuhiro Nishinari

A two parameter model for single lane car-following is introduced and its equilibrium and non-equilibrium properties are studied. Despite its simplicity, this model exhibits a rich phenomenology, analogous to that observed in real traffic,…

Statistical Mechanics · Physics 2007-05-23 M. Antoni , R. Cafiero

Self-organized criticality is a well-established phenomenon, where a system dynamically tunes its structure to operate on the verge of a phase transition. Here, we show that the dynamics inside the self-organized critical state are…

Adaptation and Self-Organizing Systems · Physics 2025-08-19 Silja Sormunen , Thilo Gross , Jari Saramäki

Effects of large value assigned to the maximal car velocity on the fundamental diagrams in the Nagel-Schreckenberg model are studied by extended simulations. The function relating the flow in the congested traffic phase with the car density…

Physics and Society · Physics 2007-05-23 Danuta Makowiec , Wieslaw Miklaszewski

We discuss the relation between self-organized criticality and depinning transitions by mapping sandpile models to equations that describe driven interfaces in random media. This equivalence yields a continuum description and gives insight…

Statistical Mechanics · Physics 2007-05-23 K. B. Lauritsen , M. J. Alava

The transition between low and high density phases is a typical feature of systems with social interactions. This contribution focuses on simple evacuation design of one room with one entrance and one exit; four passing-through experiments…

Multiagent Systems · Computer Science 2016-01-27 Marek Bukáček , Pavel Hrabák , Milan Krbálek

We study a minimal model of traffic flows in complex networks, simple enough to get analytical results, but with a very rich phenomenology, presenting continuous, discontinuous as well as hybrid phase transitions between a free-flow phase…

Statistical Mechanics · Physics 2015-05-13 Daniele De Martino , Luca Dall'Asta , Ginestra Bianconi , Matteo Marsili

We investigate a model for driven exclusion processes where internal states are assigned to the particles. The latter account for diverse situations, ranging from spin states in spintronics to parallel lanes in intracellular or vehicular…

Statistical Mechanics · Physics 2007-06-13 Tobias Reichenbach , Erwin Frey , Thomas Franosch

The correlation between level velocities and eigenfunction intensities provides a new way of exploring phase space localization in quantized non-integrable systems. It can also serve as a measure of deviations from ergodicity due to quantum…

Chaotic Dynamics · Physics 2009-10-31 Arul Lakshminarayan , Nicholas R. Cerruti , Steven Tomsovic
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