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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 investigate a balance network of the asymmetric simple exclusion process (ASEP). Subsystems consisting of ASEPs are connected by bidirectional links with each other, which results in balance between every pair of subsystems. The network…

Statistical Mechanics · Physics 2013-02-18 Takahiro Ezaki , Katsuhiro Nishinari

We consider a one-dimensional totally asymmetric exclusion process on a ring with extended inhomogeneities, consisting of several segments with different hopping rates. Depending upon the underlying inhomogeneity configurations and for…

Statistical Mechanics · Physics 2015-02-26 Tirthankar Banerjee , Niladri Sarkar , Abhik Basu

We obtain the exact large deviation functions of the density profile and of the current, in the non-equilibrium steady state of a one dimensional symmetric simple exclusion process coupled to boundary reservoirs with slow rates. Compared to…

Statistical Mechanics · Physics 2021-02-03 Bernard Derrida , Ori Hirschberg , Tridib Sadhu

We study the asymmetric exclusion process with open boundaries and derive the exact form of the joint probability function for the occupation number and the current through the system. We further consider the thermodynamic limit, showing…

Statistical Mechanics · Physics 2009-11-10 Martin Depken , Robin Stinchcombe

In this paper, we show how a fixed point based boundary layer analysis can be used to understand phases and phase transitions in asymmetric simple exclusion processes (ASEPs) with open boundaries. In order to illustrate this method, we…

Statistical Mechanics · Physics 2015-05-13 Sutapa Mukherji

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

We propose and study a conceptual one-dimensional model to explore how the combined interplay between fixed resources and particle exchanges between different parts of an extended system can affect the stationary densities in a current…

Statistical Mechanics · Physics 2025-02-10 Sourav Pal , Parna Roy , Abhik Basu

Interaction between vehicles and pedestrians is seen in many areas such as crosswalks and intersections. In this paper, we study a totally asymmetric simple exclusion process with a bottleneck at a boundary caused by an interaction. Due to…

Physics and Society · Physics 2015-06-19 Hidetaka Ito , Katsuhiro Nishinari

Using the matrix product formalism we formulate a natural p-species generalization of the asymmetric simple exclusion process. In this model particles hop with their own specific rate and fast particles can overtake slow ones with a rate…

Statistical Mechanics · Physics 2016-08-31 V. Karimipour

We study the nonequilibrium steady states of an asymmetric exclusion process (TASEP) coupled to a reservoir of unlimited capacity. We elucidate how the steady states are controlled by the interplay between the reservoir population that…

Statistical Mechanics · Physics 2021-09-15 Astik Haldar , Parna Roy , Abhik Basu

The asymmetric simple exclusion process (ASEP) is a paradigmatic nonequilibrium many-body system that describes the asymmetric random walk of particles with exclusion interactions in a lattice. Although the ASEP is recognized as an exactly…

Statistical Mechanics · Physics 2024-03-05 Yuki Ishiguro , Jun Sato

We investigate the fluctuations of cumulative density of particles in the asymmetric simple exclusion process with respect to the stationary distribution (also known as the steady state), as a stochastic process indexed by $[0,1]$. In three…

Probability · Mathematics 2019-12-30 Włodzimierz Bryc , Yizao Wang

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 particles are updated in a random sequence. Such an update is…

Statistical Mechanics · Physics 2015-06-25 Marko Woelki , Andreas Schadschneider , Michael Schreckenberg

We show how a fixed point based boundary-layer analysis technique can be used to obtain the steady-state particle density profiles of driven exclusion processes on two-lane systems with open boundaries. We have considered two distinct…

Statistical Mechanics · Physics 2015-06-11 Vandana Yadav , Rajesh Singh , Sutapa Mukherji

The totally asymmetric simple exclusion process along with particle adsorption and evaporation kinetics is a model of boundary-induced nonequilibrium phase transition. In the continuum limit, the average particle density across the system…

Statistical Mechanics · Physics 2018-04-25 Sutapa Mukherji , Somendra M. Bhattacharjee

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

We study a totally asymmetric simple exclusion process with open boundary conditions and local resetting at the injection node. We investigate the stationary state of the model, using both mean-field approximation and kinetic Monte Carlo…

Statistical Mechanics · Physics 2024-02-22 Alessandro Pelizzola , Marco Pretti

We consider the totally asymmetric exclusion process in discrete time with generalized updating rules. We introduce a control parameter into the interaction between particles. Two particular values of the parameter correspond to known…

Statistical Mechanics · Physics 2015-06-04 A. E. Derbyshev , S. S. Poghosyan , A. M. Povolotsky , V. B. Priezzhev

We investigate the dynamics of the asymmetric exclusion process at a junction. When two input roads are initially fully occupied and a single output road is initially empty, the ensuing rarefaction wave has a rich spatial structure. The…

Statistical Mechanics · Physics 2019-05-31 K. Zhang , P. L. Krapivsky , S. Redner