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We present a study of exclusion process on a peculiar topology of network with two intersected lanes, competing for the particles in a reservoir with finite capacity. To provide a theoretical ground for our findings, we exploit mean-field…

Statistical Mechanics · Physics 2021-08-04 Akriti Jindal , Arvind Kumar Gupta

The steady-state currents and densities of a one-dimensional totally asymmetric exclusion process (TASEP) with particles that occlude an integer number ($d$) of lattice sites are computed using various mean field approximations and Monte…

Statistical Mechanics · Physics 2007-05-23 G. W. Lakatos , T. Chou

Generalization of the one-dimensional totally asymmetric exclusion process (TASEP) with open boundary conditions in which particles are allowed to jump $l$ sites ahead with the probability $p_l\sim 1/l^{\sigma+1}$ is studied by Monte Carlo…

Statistical Mechanics · Physics 2007-05-23 J. Szavits-Nossan , K. Uzelac

Several theoretical models based on totally asymmetric simple exclusion process (TASEP) have been extensively utilized to study various non-equilibrium transport phenomena. Inspired by the the role of microtubule-transported vesicles in…

Statistical Mechanics · Physics 2021-02-03 Akriti Jindal , Atul Kumar Verma , Arvind Kumar Gupta

We extend the paradigmatic and versatile TASEP (Totally Asymmetric Simple Exclusion Process) for stochastic 1d transport to allow for two different particle species, each having specific entry and exit rates. We offer a complete mean-field…

Statistical Mechanics · Physics 2022-04-06 Pierre Bonnin , Ian Stansfield , M. Carmen Romano , Norbert Kern

We introduce driven exclusion processes with internal states that serve as generic transport models in various contexts, ranging from molecular or vehicular traffic on parallel lanes to spintronics. The ensuing non-equilibrium steady states…

Statistical Mechanics · Physics 2008-01-31 Tobias Reichenbach , Thomas Franosch , Erwin Frey

An extension of the totally asymmetric exclusion process, which incorporates a dynamically extending lattice is explored. Although originally inspired as a model for filamentous fungal growth, here the dynamically extending exclusion…

Statistical Mechanics · Physics 2007-12-10 K. E. P. Sugden , M. R. Evans

We explore how the interplay of finite availability, carrying capacity of particles at different parts of a spatially extended system and particle diffusion between them control the steady state currents and density profiles in a…

Statistical Mechanics · Physics 2024-12-04 Sourav Pal , Parna Roy , Abhik Basu

We study a system composed of two parallel totally asymmetric simple exclusion processes with open boundaries, where the particles move in the two lanes in opposite directions and are allowed to jump to the other lane with rates inversely…

Statistical Mechanics · Physics 2007-08-23 Robert Juhasz

We revisit the totally asymmetric simple exclusion process with open boundaries (TASEP), focussing on the recent discovery by de Gier and Essler that the model has a dynamical transition along a nontrivial line in the phase diagram. This…

Statistical Mechanics · Physics 2015-05-20 A. Proeme , R. A. Blythe , M. R. Evans

In a recent study [C Arita, Phys. Rev. E 80, 051119 (2009)], an extension of the M/M/1 queueing process with the excluded-volume effect as in the totally asymmetric simple exclusion process (TASEP) was introduced. In this paper, we consider…

Physics and Society · Physics 2014-09-18 Chikashi Arita , Daichi Yanagisawa

We propose an extension of the totally asymmetric simple exclusion process (TASEP) in which particles hopping along a lattice can be blocked by obstacles that dynamically attach/detach from lattice sites. The model can be thought as TASEP…

Statistical Mechanics · Physics 2019-02-20 Bartlomiej Waclaw , Justyna Cholewa-Waclaw , Philip Greulich

It is demonstrated that the presence of a phase transition in heavy ion collisions, at beam energies that probe dense QCD matter, leads to a significant enhancement of the dilepton yield per produced pion due to the extended emission time.…

Nuclear Theory · Physics 2022-09-13 O. Savchuk , A. Motornenko , J. Steinheimer , V. Vovchenko , M. Bleicher , M. Gorenstein , T. Galatyuk

We study a driven many particle system comprising of two identical lanes of finite lengths. On one lane, particles hop diffusively with a bias in a specific direction. On the other lane, particles hop in a specific direction obeying mutual…

Statistical Mechanics · Physics 2015-06-03 Bappa Saha , Sutapa Mukherji

We study a multispecies generalization of a left-permeable asymmetric exclusion process (LPASEP) in one dimension with open boundaries. We determine all phases in the phase diagram using an exact projection to the LPASEP solved by us in a…

Statistical Mechanics · Physics 2019-02-19 Arvind Ayyer , Caley Finn , Dipankar Roy

Totally asymmetric exclusion processes (TASEP) with open boundaries are known to exhibit moving shocks or delocalised domain walls (DDW) for sufficiently small equal injection and extraction rates. In contrast TASEPs in an inhomogeneous…

Statistical Mechanics · Physics 2020-07-06 Parna Roy , Anjan Kumar Chandra , Abhik Basu

Cytoplasmic dyneins transport cellular organelles by moving on a microtubule filament. It has been found recently that depending on the applied force and the concentration of the adenosine triphosphate (ATP) molecules, dynein's step size…

Statistical Mechanics · Physics 2009-11-13 Sutapa Mukherji

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 queueing process with excluded-volume effect (exclusive…

Statistical Mechanics · Physics 2015-05-20 Chikashi Arita , Andreas Schadschneider

We study the traffic of two types of molecular motors using the two-species symmetric simple exclusion process (ASEP) with periodic boundary conditions and with attachment and detachment of particles. We determine characteristic properties…

Biological Physics · Physics 2009-11-26 Yan Chai , Stefan Klumpp , Melanie J. I. Muller , Reinhard Lipowsky

Exclusion processes in one dimension first appeared in the 70s and have since dragged much attention from communities in different domains: stochastic processes, out-of-equilibriums statistical physics, and more recently integrable systems.…

Statistical Mechanics · Physics 2023-01-11 Ali Zahra