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We study the effect on the stationary currents of constraints affecting the hopping rates in stochastic particle systems. In the framework of Zero Range Processes with drift within a finite volume, we discuss how the current is reduced by…

Statistical Mechanics · Physics 2017-03-03 Emilio N. M. Cirillo , Matteo Colangeli , Adrian Muntean

We investigate the dynamics of the evacuation process with multiple bottlenecks using the floor field model. To deal with this problem, we first focus on a part of the system and report its microscopic behavior. The system is controlled by…

Physics and Society · Physics 2012-09-14 Takahiro Ezaki , Daichi Yanagisawa , Katsuhiro Nishinari

We consider the influence of disorder on the non-equilibrium steady state of a minimal model for intracellular transport. In this model particles move unidirectionally according to the \emph{totally asymmetric exclusion process} (TASEP) and…

Statistical Mechanics · Physics 2007-05-23 P. Pierobon , M. Mobilia , R. Kouyos , E. Frey

We review recent progress on the zero-range process, a model of interacting particles which hop between the sites of a lattice with rates that depend on the occupancy of the departure site. We discuss several applications which have…

Statistical Mechanics · Physics 2009-11-11 M. R. Evans , T. Hanney

We propose a simple microscopic model for arching phenomena at bottlenecks. The dynamics of particles in front of a bottleneck is described by a one-dimensional stochastic cellular automaton on a semicircular geometry. The model reproduces…

Statistical Mechanics · Physics 2015-06-19 Takumi Masuda , Katsuhiro Nishinari , Andreas Schadschneider

We propose a many-particle-inspired theory for granular outflows from a hopper and for the escape dynamics through a bottleneck based on a continuity equation in polar coordinates. If the inflow is below the maximum outflow, we find an…

Physics and Society · Physics 2007-05-23 Dirk Helbing , Anders Johansson , Joachim Mathiesen , Mogens H. Jensen , Alex Hansen

This article studies clogging phenomena using a velocity-based model for pedestrian dynamics. First, a method to identify prolonged clogs in simulations was introduced. Then bottleneck simulations were implemented with different initial and…

Physics and Society · Physics 2021-05-11 Qiancheng Xu , Mohcine Chraibi , Armin Seyfried

We introduce a new model to study the oscillations of opposite flows sharing a common bottleneck and moving on two Totally Asymmetric Simple Exclusion Process (TASEP) lanes. We provide a theoretical analysis of the phase diagram, valid when…

Statistical Mechanics · Physics 2012-06-15 Asja Jelić , Cécile Appert-Rolland , Ludger Santen

Driven non-equilibrium lattice models have wide-ranging applications in contexts such as mass transport, traffic flow, and transport in biological systems. In this work, we investigate the steady-state properties of a one-dimensional…

Statistical Mechanics · Physics 2026-01-16 Swastik Majumder , Mustansir Barma

We consider the overdamped dynamics of a paradigmatic long-range system of particles residing on the sites of a one-dimensional lattice, in the presence of thermal noise. The internal degree of freedom of each particle is a periodic…

Statistical Mechanics · Physics 2013-12-03 Shamik Gupta , Alessandro Campa , Stefano Ruffo

When suspended particles are pushed by liquid flow through a constricted channel they might either pass the bottleneck without trouble or encounter a permanent clog that will stop them forever. However, they may also flow intermittently…

Fluid Dynamics · Physics 2020-07-01 Mathieu Souzy , Iker Zuriguel , Alvaro Marin

This paper examines the traffic flows on a two-dimensional stochastic lattice model that comprises a junction of two traveling routes: the domestic route and the international route each of which has parking sites. In our model, the system…

Cellular Automata and Lattice Gases · Physics 2020-11-05 Satori Tsuzuki , Daichi Yanagisawa , Katsuhiro Nishinari

We investigate the totally asymmetric simple exclusion process (TASEP) in the presence of a bottleneck, i.e. a sequence of consecutive defect sites with reduced hopping rate. The influence of such a bottleneck on the phase diagram is…

Cellular Automata and Lattice Gases · Physics 2009-11-13 Philip Greulich , Andreas Schadschneider

We consider the set-up of stationary Zero Range models and discuss the onset of condensation induced by a local blockage on the lattice. We show that the introduction of a local feedback on the hopping rates allows to control the particle…

Statistical Mechanics · Physics 2016-10-19 Emilio N. M. Cirillo , Matteo Colangeli , Adrian Muntean

A nucleation model for the breakdown phenomenon in freeway free traffic flow at an on-ramp bottleneck is presented. This model, which can explain empirical results on the breakdown phenomenon, is based on assumptions of three-phase traffic…

Statistical Mechanics · Physics 2007-05-23 Boris S. Kerner , Sergey L. Klenov

The collision of a gravitationally-driven horizontal current with a barrier following release from a confining lock is investigated using a shallow water model of the motion, together with a sophisticated boundary condition capturing the…

Fluid Dynamics · Physics 2023-04-19 Edward W. G. Skevington , Andrew J. Hogg

Aligning self-propelled particles undergo a nonequilibrium flocking transition from apolar to polar phases as their interactions become stronger. We propose a thermodynamically consistent lattice model, in which the internal state of the…

Statistical Mechanics · Physics 2025-08-08 Karel Proesmans , Gianmaria Falasco , Atul Tanaji Mohite , Massimiliano Esposito , Étienne Fodor

The zero-range process is a stochastic interacting particle system that exhibits a condensation transition under certain conditions on the dynamics. It has recently been found that a small perturbation of a generic class of jump rates leads…

Statistical Mechanics · Physics 2015-03-19 Luis Carlos Garcia del Molino , Paul Chleboun , Stefan Grosskinsky

We study zero-range processes which are known to exhibit a condensation transition, where above a critical density a non-zero fraction of all particles accumulates on a single lattice site. This phenomenon has been a subject of recent…

Statistical Mechanics · Physics 2015-03-14 Paul Chleboun , Stefan Grosskinsky

We consider a lattice model in which a tracer particle moves in the presence of randomly distributed immobile obstacles. The crowding effect due to the obstacles interplays with the quasi-confinement imposed by wrapping the lattice onto a…

Statistical Mechanics · Physics 2026-03-05 A. Squarcini , A. Tinti , P. Illien , O. Bénichou , T. Franosch
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