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We introduce and analyze a model for the transport of particles or energy in extended lattice systems. The dynamics of the model acts on a discrete phase space at discrete times but has nonetheless some of the characteristic properties of…

数学物理 · 物理学 2015-06-12 Raphael Lefevere

We study completely asymmetric 2-channel exclusion processes in 1 dimension. It describes a two-way traffic flow with cars moving in opposite directions. The interchannel interaction makes cars slow down in the vicinity of approaching cars…

统计力学 · 物理学 2008-11-26 H. -W. Lee , V. Popkov , D. Kim

Packet traffic in complex networks undergoes the jamming transition from free-flow to congested state as the number of packets in the system increases. Here we study such jamming transition when queues are operated by the priority queuing…

其他凝聚态物理 · 物理学 2015-05-13 K. Kim , B. Kahng , D. Kim

In transportation networks, a spontaneous jamming transition is often observed, e.g in urban road networks and airport networks. Because of this instability, flow distribution is significantly imbalanced on a macroscopic level. To mitigate…

物理与社会 · 物理学 2015-05-27 Takahiro Ezaki , Ryosuke Nishi , Katsuhiro Nishinari

We study phase transitions of a system of particles on the one-dimensional integer lattice moving with constant acceleration, with a collision law respecting slower particles. This simple deterministic ``particle-hopping'' traffic flow…

动力系统 · 数学 2009-11-10 Michael Blank

We introduce a two-dimensional walk model in which a random walker can only move on the first quarter of a two-dimensional plane. We calculate the partition function of this walk model using a transfer matrix method and show that the model…

统计力学 · 物理学 2015-05-27 Farhad H. Jafarpour

A vibrational model of transport properties of dense fluids assumes that solid-like oscillations of atoms around their temporary equilibrium positions dominate the dynamical picture. The temporary equilibrium positions of atoms do not form…

软凝聚态物质 · 物理学 2024-01-09 Sergey Khrapak

Analytical investigations are made on BML two-dimensional traffic flow model with alternative movement and exclude-volume effect. Several exact results are obtained, including the upper critical density above which there are only jamming…

统计力学 · 物理学 2007-05-23 Y. Shi

Recent studies have indicated that the coarse grained dynamics of a large class of traffic models and driven-diffusive systems may be described by urn models. We consider a class of one-dimensional urn models whereby particles hop from an…

统计力学 · 物理学 2009-11-10 E. Levine , D. Mukamel , G. Ziv

We study a message passing model, applicable also to traffic problems. The model is implemented in a discrete lattice, where particles move towards their destination, with fluctuations around the minimal distance path. A repulsive…

凝聚态物理 · 物理学 2009-10-28 I. Campos , A. Tarancon , F. Clerot , L. A. Fernandez

In this work, we study the nature of transitions between inherent structures of a two-dimensional model supercooled liquid. We demonstrate that these transitions occur predominately along a small number of directions on the energy…

统计力学 · 物理学 2013-03-12 Glen M. Hocky , David R. Reichman

In this work we study the effect of a traffic light system on the flow of a single lane road by proposing a traffic model based on a cellular automaton that also includes behavioral considerations. We focus on the macroscopic…

物理与社会 · 物理学 2021-02-03 A. Chacoma , M. N. Kuperman , G. Abramson

We consider a one-dimensional traffic model with a slow-to-start rule. The initial position of the cars in $\mathbb R$ is a Poisson process of parameter $\lambda$. Cars have speed 0 or 1 and travel in the same direction. At time zero the…

概率论 · 数学 2020-06-24 Pablo A. Ferrari , Leonardo T. Rolla

Initially a car is placed with probability p at each site of the two-dimensional integer lattice. Each car is equally likely to be East-facing or North-facing, and different sites receive independent assignments. At odd time steps, each…

概率论 · 数学 2007-05-23 Omer Angel , Alexander E Holroyd , James B Martin

We study numerically the phases and dynamics of a dense collection of self-propelled particles with soft repulsive interactions in two dimensions. The model is motivated by recent in vitro experiments on confluent monolayers of migratory…

软凝聚态物质 · 物理学 2015-05-28 Silke Henkes , Yaouen Fily , M. Cristina Marchetti

We use computer simulations to study the microscopic dynamics of an athermal assembly of soft particles near the fluid-to-solid, jamming transition. Borrowing tools developed to study dynamic heterogeneity near glass transitions, we…

材料科学 · 物理学 2010-06-24 Claus Heussinger , Ludovic Berthier , Jean-Louis Barrat

Using high precision Monte Carlo simulations and a mean-field theory, we explore coarsening phenomena in a simple driven diffusive system. The model is reminiscent of vehicular traffic on a two-lane ring road. At sufficiently high density,…

统计力学 · 物理学 2009-11-11 I. T. Georgiev , B. Schmittmann , R. K. P. Zia

We analyse biased ensembles of trajectories for diffusive systems. In trajectories biased either by the total activity or the total current, we use fluctuating hydrodynamics to show that these systems exhibit phase transtions into…

统计力学 · 物理学 2015-03-05 Robert L. Jack , Ian R. Thompson , Peter Sollich

We propose a new model of one-dimensional traffic flow using a coupled map lattice. In the model, each vehicle is assigned a map and changes its velocity according to it. A single map is designed so as to represent the motion of a vehicle…

凝聚态物理 · 物理学 2009-10-22 Satoshi Yukawa , Macoto Kikuchi

We investigate the non-equilibrium steady state of a one-dimensional (1D) lattice gas of dimers. The dynamics is described by a totally asymmetric exclusion process (TASEP) supplemented by attachment and detachment processes, mimicking…

统计力学 · 物理学 2007-05-23 P. Pierobon , T. Franosch , E. Frey