2.3k citations · 13.8k across the 135 of their papers we have counts for
73 papers · 1 filter
Physical models of traffic safety at crossings
Andreas Leich, Ronald Nippold, Andreas Schadschneider +1
Traffic safety at intersections is studied quantitatively using methods from Statistical Mechanics on the basis of simple microscopic traffic flow models. In order to determine a r…
Dimensionless Numbers Reveal Distinct Regimes in the Structure and Dynamics of Pedestrian Crowds
Jakob Cordes, Andreas Schadschneider, Alexandre Nicolas
In fluid mechanics, dimensionless numbers like the Reynolds number help classify flows. We argue that such a classification is also relevant for crowd flows by putting forward the…
Mirror symmetry breakdown in the Kardar-Parisi-Zhang universality class
Johannes Schmidt, Andreas Schadschneider
The current/height fluctuation statistics of Kardar-Parisi-Zhang (KPZ) universality in 1+1 dimensions are sensitive to the initial state. We find that the averages over the initial…
Kardar-Parisi-Zhang Universality of the Nagel-Schreckenberg Model
Jan de Gier, Andreas Schadschneider, Johannes Schmidt +1
Dynamical universality classes are distinguished by their dynamical exponent and unique scaling functions encoding space-time asymmetry for, e.g. slow-relaxation modes or the d…
Diffusion with Resetting Inside a Circle
Abhinava Chatterjee, Christos Christou, Andreas Schadschneider
We study the Brownian motion of a particle in a bounded circular 2-dimensional domain, in search for a stationary target on the boundary of the domain. The process switches between…
Logarithmic superdiffusion in two dimensional driven lattice gases
Joachim Krug, Robert A. Neiss, Andreas Schadschneider +1
The spreading of density fluctuations in two-dimensional driven diffusive systems is marginally anomalous. Mode coupling theory predicts that the diffusivity in the direction of th…
Condensation in continuous stochastic mass transport models
Christos Christou, Andreas Schadschneider
We study the dynamics of condensation for a stochastic continuous mass transport process defined on a one-dimensional lattice. Specifically we introduce three different variations…
Exact scaling solution of the mode coupling equations for non-linear fluctuating hydrodynamics in one dimension
Vladislav Popkov, Andreas Schadschneider, Johannes Schmidt +1
We obtain the exact solution of the one-loop mode-coupling equations for the dynamical structure function in the framework of non-linear fluctuating hydrodynamics in one space dime…
Fibonacci family of dynamical universality classes
Vladislav Popkov, Andreas Schadschneider, Johannes Schmidt +1
Universality is a well-established central concept of equilibrium physics. However, in systems far away from equilibrium a deeper understanding of its underlying principles is stil…
Defect-induced phase transition in the asymmetric simple exclusion process
Johannes Schmidt, Vladislav Popkov, Andreas Schadschneider
We reconsider the long-standing question of the critical defect hopping rate in the one-dimensional totally asymmetric exclusion process (TASEP) with a slow bond (defect). Fo…
Exclusive Queueing Processes and their Application to Traffic Systems
C. Arita, A. Schadschneider
The dynamics of pedestrian crowds has been studied intensively in recent years, both theoretically and empirically. However, in many situations pedestrian crowds are rather static,…
Effective ergodicity breaking in an exclusion process with varying system length
Christoph Schultens, Andreas Schadschneider, Chikashi Arita
Stochastic processes of interacting particles with varying length are relevant e.g. for several biological applications. We try to explore what kind of new physical effects one can…
Critical Bottleneck Size for Jamless Particle Flows in Two Dimensions
Takumi Masuda, Katsuhiro Nishinari, Andreas Schadschneider
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…
Critical behavior of the exclusive queueing process
Chikashi Arita, Andreas Schadschneider
The exclusive queueing process (EQP) is a generalization of the classical M/M/1 queue. It is equivalent to a totally asymmetric exclusion process (TASEP) of varying length. Here we…
Exact dynamical state of the exclusive queueing process with deterministic hopping
Chikashi Arita, Andreas Schadschneider
The exclusive queueing process (EQP) has recently been introduced as a model for the dynamics of queues which takes into account the spatial structure of the queue. It can be inter…
Dynamical analysis of the exclusive queueing process
Chikashi Arita, Andreas Schadschneider
In a recent study [C Arita and D Yanagisawa: J. Stat. Phys. 141, 829 (2010)] the stationary state of a parallel-update TASEP with varying system length, which can be regarded as a…
Disordered driven lattice gases with boundary reservoirs and Langmuir kinetics
Philip Greulich, Andreas Schadschneider
The asymmetric simple exclusion process with additional Langmuir kinetics, i.e. attachment and detachment in the bulk, is a paradigmatic model for intracellular transport. Here we…
Single-Bottleneck Approximation for Driven Lattice Gases with Disorder and Open Boundary Conditions
Philip Greulich, Andreas Schadschneider
We investigate the effects of disorder on driven lattice gases with open boundaries using the totally asymmetric simple exclusion process as a paradigmatic example. Disorder is rea…
Modelling of self-driven particles: foraging ants and pedestrians
Katsuhiro Nishinari, Ken Sugawara, Toshiya Kazama +2
Models for the behavior of ants and pedestrians are studied in an unified way in this paper. Each ant follows pheromone put by preceding ants, hence creating a trail on the ground,…
From aggressive driving to molecular motor traffic
Ambarish Kunwar, Andreas Schadschneider, Debashish Chowdhury
Motivated by recent experimental results for the step sizes of dynein motor proteins, we develope a cellular automata model for intra-cellular traffic of dynein motors incorporatin…
Asymmetric exclusion processes with shuffled dynamics
Marko Woelki, Andreas Schadschneider, Michael Schreckenberg
The asymmetric simple exclusion process (ASEP) with periodic boundary conditions is investigated for shuffled dynamics. In this type of update, in each discrete timestep the partic…
Collective traffic-like movement of ants on a trail: dynamical phases and phase transitions
A. Kunwar, A. John, K. Nishinari +2
The traffic-like collective movement of ants on a trail can be described by a stochastic cellular automaton model. We have earlier investigated its unusual flow-density relation by…
Discretisation effects and the influence of walking speed in cellular automata models for pedestrian dynamics
Ansgar Kirchner, Hubert Kluepfel, Katsuhiro Nishinari +2
We study discretisation effects in cellular automata models for pedestrian dynamics by reducing the cell size. Then a particle occupies more than one cell which leads to subtle eff…
Collective effects in traffic on bi-directional ant-trails
Alexander John, Andreas Schadschneider, Debashish Chowdhury +1
Motivated by recent experimental work of Burd et al., we propose a model of bi-directional ant-traffic on pre-existing ant-trails. It captures in a simple way some of the generic c…