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The totally asymmetric simple exclusion process with generalized update is a version of the discrete time totally asymmetric exclusion process with an additional inter-particle interaction that controls the degree of particle clustering.…

Statistical Mechanics · Physics 2024-03-21 Nadezhda Zh Bunzarova , Nina C Pesheva , Alexander M Povolotsky

We study a model of aggregation and fragmentation of clusters of particles on an open segment of a single-lane road. The particles and clusters obey the stochastic discrete-time discrete-space kinetics of the Totally Asymmetric Simple…

Statistical Mechanics · Physics 2020-01-08 N. C. Pesheva , N. Zh. Bunzarova

Theoretical advances in the study of non-equilibrium phenomena are briefly reviewed with emphasis on steady state properties of one-dimensional driven lattice gases. The presentation is focused on the totally asymmetric simple-exclusion…

Statistical Mechanics · Physics 2008-03-19 J. G. Brankov , N. C. Pesheva , N. Zh. Bunzarova

A system consisting of two parallel coupled channels where particles in one of them follow the rules of totally asymmetric exclusion processes (TASEP) and in another one move as in symmetric simple exclusion processes (SSEP) is investigated…

Statistical Mechanics · Physics 2009-11-13 K. Tsekouras , A. B. Kolomeisky

The totally asymmetric exclusion process (TASEP) with periodic boundaries is considered as traffic flow model. The large-L approximation of the stationary state is used for the derivation of the time-headway distribution (an important…

Statistical Mechanics · Physics 2018-01-08 Pavel Hrabák , Milan Krbálek

We consider the asymmetric simple exclusion process (TASEP) on open network consisting of three consecutively coupled macroscopic chain segments with a shortcut between the tail of the first segment and the head of the third one. The model…

Biological Physics · Physics 2015-06-18 Nadezhda Bunzarova , Nina Pesheva , Jordan Brankov

The one-dimensional totally asymmetric simple exclusion process (TASEP) with $N$ particles on a periodic lattice of $L$ sites is an interacting particle system with hopping rates breaking detailed balance. The total time-integrated current…

Statistical Mechanics · Physics 2015-12-01 Sylvain Prolhac

We revisit a totally asymmetric simple exclusion process (TASEP) with open boundaries and a global constraint on the total number of particles [Adams, et. al. 2008 J. Stat. Mech. P06009]. In this model, the entry rate of particles into the…

Statistical Mechanics · Physics 2009-08-30 L. Jonathan Cook , R. K. P. Zia

The one-dimensional totally asymmetric simple exclusion process (TASEP) is considered. We study the time evolution property of a tagged particle in TASEP with the step-type initial condition. Calculated is the multi-time joint distribution…

Mathematical Physics · Physics 2007-08-18 T. Imamura , T. Sasamoto

We develop a modified version of the totally asymmetric simple exclusion process (TASEP) and use it to reproduce flow on an escalator with two distinct lanes of pedestrian traffic. The model is used to compare strategies with two standing…

Cellular Automata and Lattice Gases · Physics 2020-07-15 Hiroki Yamamoto , Daichi Yanagisawa , Katsuhiro Nishinari

We investigate a rich new class of exactly solvable particle systems generalizing the Totally Asymmetric Simple Exclusion Process (TASEP). Our particle systems can be thought of as new exactly solvable examples of tandem queues, directed…

Probability · Mathematics 2020-01-08 Alisa Knizel , Leonid Petrov , Axel Saenz

We consider a finite one-dimensional totally asymmetric simple exclusion process (TASEP) with four types of particles, $\{1,0,\bar{1},*\}$, in contact with reservoirs. Particles of species $0$ can neither enter nor exit the lattice, and…

Statistical Mechanics · Physics 2019-11-11 Erik Aas , Arvind Ayyer , Svante Linusson , Samu Potka

The discrete-time version of totally asymmetric simple-exclusion process (TASEP) on a finite one-dimensional lattice is studied with the periodic boundary condition. Each particle at a site hops to the next site with probability $0 \leq p…

Statistical Mechanics · Physics 2011-11-03 Yasuyuki Yamada , Makoto Katori

We explore the stationary densities in totally asymmetric exclusion processes (TASEP) with open boundary conditions and spatially inhomogeneous hopping rates. We calculate the steady state density profiles that characterise the associated…

Statistical Mechanics · Physics 2024-10-31 Sudip Mukherjee , Abhik basu

We prove an exact solution of a multi-lane totally asymmetric simple exclusion process (TASEP) with heterogeneous lane-changing rates on a torus. The solution is given by a factorized form; that is, the TASEP in each lane and lane-changing…

Physics and Society · Physics 2015-06-23 Takahiro Ezaki , Katsuhiro Nishinari

We consider the one-dimensional totally asymmetric simple exclusion process (TASEP) with position-dependent hopping rates. The problem is solved,in a mean field/adiabatic approximation, for a general (smooth) form of spatial rate variation.…

Statistical Mechanics · Physics 2011-06-15 R. B. Stinchcombe , S. L. A. de Queiroz

Smooth transportation has drawn the attention of many researchers and practitioners in several fields. In the present paper, we propose a modified model of a totally asymmetric simple exclusion process (TASEP), which includes multiple…

Cellular Automata and Lattice Gases · Physics 2019-10-16 Hiroki Yamamoto , Daichi Yanagisawa , Katsuhiro Nishinari

The asymmetric exclusion process is an idealised stochastic model of transport, whose exact solution has given important insight into a general theory of nonequilibrium statistical physics. In this work, we consider a totally asymmetric…

Statistical Mechanics · Physics 2018-06-25 Arvind Ayyer , Dipankar Roy

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 construct a one-dimensional totally asymmetric simple exclusion process (TASEP) on a ring with two segments having unequal hopping rates, coupled to particle non-conserving Langmuir kinetics (LK) characterized by equal attachment and…

Statistical Mechanics · Physics 2015-08-19 Tirthankar Banerjee , Anjan Kumar Chandra , Abhik Basu