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In this paper a spatial homogeneous vehicular traffic flow model based on a stochastic master equation of Boltzmann type in the acceleration variable is solved numerically for a special driver interaction model. The solution is done by a…

Other Condensed Matter · Physics 2009-11-10 K. Thomas Waldeer

Deep learning-based approaches have achieved significant improvements on public video anomaly datasets, but often do not perform well in real-world applications. This paper addresses two issues: the lack of labeled data and the difficulty…

Computer Vision and Pattern Recognition · Computer Science 2024-04-22 Giacomo D'Amicantonio , Egor Bondarau , Peter H. N. de With

One common feature of a vehicle, an ant and a kinesin motor is that they all convert chemical energy, derived from fuel or food, into mechanical energy required for their forward movement; such objects have been modelled in recent years as…

Statistical Mechanics · Physics 2009-11-10 Debashish Chowdhury

Starting from a simple animal-biology example, a general, somewhat counter-intuitive property of diffusion random walks is presented. It is shown that for any (non-homogeneous) purely diffusing system, under any isotropic uniform incidence,…

Statistical Mechanics · Physics 2019-02-20 Stephane Blanco , Fournier Richard

Multi-lane totally asymmetric simple exclusion processes with interactions between the lanes have recently been investigated actively. This paper proposes a two-lane model with extended Langmuir kinetics on a periodic lattice. Both…

Cellular Automata and Lattice Gases · Physics 2022-02-09 Hiroki Yamamoto , Shingo Ichiki , Daichi Yanagisawa , Katsuhiro Nishinari

Navigation through narrow passages during colony relocation by the tandem-running ants, $\textit{Diacamma}$ $\textit{indicum}$, is a tour de force of biological traffic coordination. Even on one-lane paths, the ants tactfully manage a…

Adaptation and Self-Organizing Systems · Physics 2025-09-23 Joy Das Bairagya , Udipta Chakraborti , Sumana Annagiri , Sagar Chakraborty

A generic proecological traffic control model for the urban street canyon is proposed by development of advanced continuum field hydrodynamical control model of the street canyon. The model of optimal control of street canyon dynamics is…

Disordered Systems and Neural Networks · Physics 2007-05-23 Maciej M. Duras

In the Optimal Velocity Model proposed as a new version of Car Following Model, it has been found that a congested flow is generated spontaneously from a homogeneous flow for a certain range of the traffic density. A well-established…

patt-sol · Physics 2009-10-30 K. Nakanishi , K. Itoh , Y. Igarashi , M. Bando

We consider a recently introduced model of mosquito dynamics that includes mating and progression through breeding, questing and egg-laying stages of mosquitoes using human and other vertebrate sources for blood meals. By exploiting a…

Populations and Evolution · Quantitative Biology 2024-11-12 J. Banasiak , Bime M. Ghakanyuy , Gideon A. Ngwa

Synchronized short-term activity cycles are a prominent feature in the nests of certain ant species, but their functional significance remains controversial. This study investigates whether synchronization enhances spatial accessibility…

Biological Physics · Physics 2025-09-29 José F. Fontanari , Paulo R. A. Campos

Swarm intelligence is widely recognized as a powerful paradigm of self-organized optimization, with numerous examples of successful applications in distributed artificial intelligence. However, the role of physical interactions in the…

Physics and Society · Physics 2008-10-28 Karsten Peters , Anders Johansson , Audrey Dussutour , Dirk Helbing

Using elementary distributed computing techniques we suggest an explanation for two unexplained phenomena in regards to ant colonies, (a) a substantial amount of ants in an ant colony are idle, and (b) the observed low survivability of new…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-05-23 Yehuda Afek , Deborah M. Gordon , Moshe Sulamy

We prove existence and uniqueness of solutions to a transport equation modelling vehicular traffic in which the velocity field depends non-locally on the downstream traffic density via a discontinuous anisotropic kernel. The result is…

Analysis of PDEs · Mathematics 2015-10-16 Paola Goatin , Francesco Rossi

In the area of urban transportation networks, a growing number of day-to-day (DTD) traffic dynamic theories have been proposed to describe the network flow evolution, and an increasing amount of laboratory experiments have been conducted to…

Physics and Society · Physics 2023-03-08 Hang Qi , Ning Jia , Xiaobo Qu , Zhengbing He

We consider a conservation law model of traffic flow, where the velocity of each car depends on a weighted average of the traffic density $\rho$ ahead. The averaging kernel is of exponential type: $w_\varepsilon(s)=\varepsilon ^{-1}…

Analysis of PDEs · Mathematics 2020-05-20 Alberto Bressan , Wen Shen

We analyze how the transient dynamics of large dynamical systems in the vicinity of a stationary point, modeled by a set of randomly coupled linear differential equations, depends on the network topology. We characterize the transient…

Adaptation and Self-Organizing Systems · Physics 2024-01-17 Wojciech Tarnowski , Izaak Neri , Pierpaolo Vivo

Starting from the physics on the grain scale, we develop a simple continuum description of aeolian sand transport. Beyond popular mean-field models, but without sacrificing their computational efficiency, it accounts for both dominant grain…

Soft Condensed Matter · Physics 2012-09-27 Marc Lämmel , Daniel Rings , Klaus Kroy

A new single lane car following model of traffic flow is presented. The model is inertial and free of collisions. It demonstrates experimentally observed features of traffic flow such as the existence of three regimes: free, fluctuative…

Disordered Systems and Neural Networks · Physics 2009-10-31 Elad Tomer , Leonid Safonov , Shlomo Havlin

The motion of social insects is often used a paradigmatic example of complex adaptive dynamics arising from decentralized individual behavior. In this paper we revisit the topic of the ruling laws behind burst of activity in ants. The…

Quantitative Methods · Quantitative Biology 2018-07-27 Riccardo Gallotti , Dante R. Chialvo

This paper studies steady-state traffic flow on a ring road with up- and down- slopes using a semi-discrete model. By exploiting the relations between the semi-discrete and the continuum models, a steady-state solution is uniquely…

Mathematical Physics · Physics 2015-06-15 Chun-Xiu Wu , Peng Zhang , S. C. Wong , Keechoo Choi