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We introduce a stochastic lattice gas model including two particle species and two parallel lanes. One lane with exclusion interaction and directed motion and the other lane without exclusion and unbiased diffusion, mimicking a micotubule…

Statistical Mechanics · Physics 2009-11-13 M. Ebbinghaus , L. Santen

We discuss the approximate phenomenological description of the motion of a single second-class particle in a two-species totally asymmetric simple exclusion process (TASEP) on a 1D lattice. Initially, the second class particle is located at…

Statistical Mechanics · Physics 2020-01-29 Aanjaneya Kumar , Deepak Dhar

We define and study one-dimensional model of irreversible aggregation of particles obeying a discrete-time kinetics which is a special limit of the generalized Totally Asymmetric Simple Exclusion Process (gTASEP) on open chains. The model…

Statistical Mechanics · Physics 2017-05-10 Nadezhda Zh. Bunzarova , Nina Ch. Pesheva

We consider the one-dimensional totally asymmetric simple exclusion model (TASEP model) with open boundary conditions and present the analytical computations leading to the exact formula for distance clearance distribution, i.e. probability…

Cellular Automata and Lattice Gases · Physics 2018-01-08 Milan Krbalek , Pavel Hrabak

We present a two channel driven lattice gas model with oppositely directed species moving on two parallel lanes with lane switching processes. We study correlated lane switching mechanism for particles so that switching may occur with…

Statistical Mechanics · Physics 2015-05-28 Sudipto Muhuri , Ignacio Pagonabarraga

The topologically protected transport of colloidal particles on top of magnetic patterns of all possible single lattice constant two dimensional magnetic point group symmetries is studied experimentally, theoretically, and with numerical…

Active motion of molecules along filamentous structures is a crucial feature of cell biology and is often modeled with the paradigmatic asymmetric simple exclusion process. Motivated by recent experimental studies that have addressed the…

Statistical Mechanics · Physics 2018-09-19 Patrick Wilke , Emanuel Reithmann , Erwin Frey

Driven diffusive systems constitute paradigmatic models of nonequilibrium physics. Among them, a driven lattice gas known as the asymmetric simple exclusion process (ASEP) is the most prominent example for which many intriguing exact…

Statistical Mechanics · Physics 2020-06-24 Dominik Lips , Artem Ryabov , Philipp Maass

Within cells, vesicles and proteins are actively transported several micrometers along the cytoskeletal filaments. The transport along microtubules is propelled by dynein and kinesin motors, which carry the cargo in opposite directions.…

Biological Physics · Physics 2020-05-20 Robin Jose , Ludger Santen

We provide a generic scheme to separate the particles of a mixture by their physical properties like mass, friction or size. The scheme employs a periodically shaken two dimensional dissipative lattice and hinges on a simultaneous transport…

Chaotic Dynamics · Physics 2018-05-30 Aritra K. Mukhopadhyay , Benno Liebchen , Peter Schmelcher

Using simulations and a simple mean-field theory, we investigate jamming transitions in a two-species lattice gas under non-equilibrium steady-state conditions. The two types of particles diffuse with different mobilities on a square…

Statistical Mechanics · Physics 2009-11-10 R. S. Hipolito , R. K. P. Zia , B. Schmittmann

The cytoskeleton in eukaryotic cells plays several crucial roles. In terms of intracellular transport, motor proteins use the cytoskeletal filaments as a backbone along which they can actively transport biological cargos such as vesicles…

Biological Physics · Physics 2020-06-20 Adélaïde Raguin , Norbert Kern , Andrea Parmeggiani

In cells, most of cargos are transported by motor proteins along microtubule. Biophysically, unidirectional motion of large number of motor proteins along a single track can be described by totally asymmetric simple exclusion process…

Subcellular Processes · Quantitative Biology 2015-03-06 Minghua Song , Yunxin Zhang

The transport phenomena of a nonequilibrium lattice gas system are investigated. We consider a simple system that consists of two particles interacting repulsively and the potential forces acting on these particles. Under an external…

Soft Condensed Matter · Physics 2009-11-11 Akinori Awazu

The TASEP (totally asymmetric simple exclusion process) is a basic model for an one-dimensional interacting particle system with non-reversible dynamics. Despite the simplicity of the model it shows a very rich and interesting behaviour. In…

Probability · Mathematics 2010-03-30 James Martin , Philipp Schmidt

In this article we present a comprehensive study of the totally asymmetric simple exclusion process with pausing particles (pTASEP), a model initially introduced to describe RNAP dynamics during transcription. We extend previous mean-field…

Statistical Mechanics · Physics 2025-07-31 Johannes Keisers , Lorenzo Vito Dal Zovo , Norbert Kern , Luca Ciandrini

We study flocking in one dimension, introducing a lattice model in which particles can move either left or right. We find that the model exhibits a continuous nonequilibrium phase transition from a condensed phase, in which a single `flock'…

Statistical Mechanics · Physics 2009-10-31 O. J. O'Loan , M. R. Evans

We introduce a new rule of motion for a totally asymmetric exclusion process (TASEP) representing pedestrian traffic on a lattice. Its characteristic feature is that the positions of the pedestrians, modeled as hard-core particles, are…

Statistical Mechanics · Physics 2017-09-20 C. Appert-Rolland , J. Cividini , H. J. Hilhorst

Driven diffusive systems have provided simple models for non-equilibrium systems with non-trivial structures. Steady state behaviour of these systems with constant boundary conditions have been studied extensively. Comparatively less work…

Statistical Mechanics · Physics 2015-12-09 Ayse Ferhan Yesil , M. Cemal Yalabik

The transport of motile entities across modulated energy landscapes plays an important role in a range of phenomena in biology, colloidal science and solid-state physics. Here, an easily implementable strategy that allows for the collective…

Soft Condensed Matter · Physics 2020-03-11 Fernando Martínez-Pedrero , Francisco Ortega , Ramón G. Rubio , Carles Calero