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Generic inhomogeneous steady states in an asymmetric exclusion process on a ring with a pair of point bottlenecks are studied. We show that, due to an underlying universal feature, measurements of coarse-grained steady-state densities in…

Statistical Mechanics · Physics 2014-08-15 Niladri Sarkar , Abhik Basu

We consider an experimentally relevant model of a geometric ratchet in which particles undergo drift and diffusive motion in a two-dimensional periodic array of obstacles, and which is used for the continuous separation of particles subject…

Statistical Mechanics · Physics 2009-11-07 C. Keller , Florian Marquardt , C. Bruder

Research in combinatorics has often explored the asymmetric simple exclusion process (ASEP). The ASEP, inspired by examples from statistical mechanics, involves particles of various species moving around a lattice. With the traditional ASEP…

Combinatorics · Mathematics 2024-11-21 David W. Ash

The paper considers a process of escape of classical particle from a one-dimensional potential well by virtue of an external harmonic forcing. We address a particular model of the infinite-range potential well that allows independent…

Classical Physics · Physics 2017-09-28 O. V. Gendelman

We study the diffusive behaviour of interacting active particles (self-propelled) with mass $m$ in an asymmetric channel. The particles are subjected to an external oscillatory force along the length of the channel. In this setup, particles…

Soft Condensed Matter · Physics 2023-08-28 Ankit Gupta , P. S. Burada

A two-parameter family of discrete-time exactly-solvable exclusion processes on a one-dimensional lattice is introduced, which contains the asymmetric simple exclusion process and the drop-push model as particular cases. The process is…

Statistical Mechanics · Physics 2009-11-10 Farinaz Roshani , Mohammad Khorrami

The one-dimensional coagulation-diffusion process describes the strongly fluctuating dynamics of particles, freely hopping between the nearest-neighbour sites of a chain such that one of them disappears with probability 1 if two particles…

Statistical Mechanics · Physics 2016-02-23 Xavier Durang , Jean-Yves Fortin , Malte Henkel

The phenomena of radial and axial segregation in a horizontal rotating cylinder containing a mixture of granular particles of two different species have been modeled using discrete particle simulation. Space-time plots and detailed imagery…

Soft Condensed Matter · Physics 2015-06-25 D. C. Rapaport

We study the effect of quenched spatial disorder on the current-carrying steady states of the totally asymmetric simple exclusion process with spatially disordered jump rates. The exact analytical expressions for the steady-state weights,…

Statistical Mechanics · Physics 2007-05-23 Kiran M. Kolwankar , Alexander Punnoose

The symmetric simple exclusion process (SEP) is a paradigmatic model of diffusion in a single-file geometry, in which the particles cannot cross. In this model, the study of currents have attracted a lot of attention. In particular, the…

Statistical Mechanics · Physics 2024-02-09 Aurélien Grabsch , Pierre Rizkallah , Olivier Bénichou

Two dimensional simulations of non-cohesive granular matter in a biaxial shear tester are discussed. The effect of particle elasticity on the mechanical behavior is investigated using two complementary distinct element methods (DEM): Soft…

Computational Physics · Physics 2011-03-11 Dirk Kadau , Dominik Schwesig , Joerg Theuerkauf , Dietrich E. Wolf

Bidirectional transport in (quasi) one-dimensional systems generically leads to cluster-formation and small particle currents. This kind of transport can be described by the asymmetric simple exclusion process (ASEP) with two species of…

Cellular Automata and Lattice Gases · Physics 2020-04-22 Robin Jose , Chikashi Arita , Ludger Santen

This article presents two measurement techniques to determine the diameter of a single dust particle during plasma operation. Using long-distance microscopy (LDM), the particle is imaged from outside the plasma chamber. In combination with…

Plasma Physics · Physics 2017-07-25 O. H. Asnaz , H. Jung , F. Greiner , A. Piel

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 study a new process, which we call ASEP$(q,j)$, where particles move asymmetrically on a one-dimensional integer lattice with a bias determined by $q\in (0,1)$ and where at most $2j\in\mathbb{N}$ particles per site are allowed. The…

Probability · Mathematics 2014-07-15 Gioia Carinci , Cristian Giardina' , Frank Redig , Tomohiro Sasamoto

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

The behavior of the average velocity, its deviation and average squared velocity are characterized using three techniques for a 1-D dissipative impact system. The system -- a particle, or an ensemble of non interacting particles, moving in…

Chaotic Dynamics · Physics 2016-04-01 Gabriel Díaz I. , André L. P. Livorati , Edson D. Leonel

We consider the asymmetric simple exclusion process (ASEP) on a semi-infinite chain which is coupled at the end to a reservoir with a particle density that changes periodically in time. It is shown that the density profile assumes a…

Statistical Mechanics · Physics 2009-11-13 Vladislav Popkov , Mario Salerno , Gunter M. Schutz

We use numerical simulations to study the shear-driven steady-state flow of athermal, frictionless, overdamped, two dimensional cross-shaped particles of varying aspect ratios, and make comparison with the behavior of rod-shaped and…

Soft Condensed Matter · Physics 2021-04-05 Theodore A. Marschall , S. Teitel

We study the fluctuation properties of the asymmetric simple exclusion process (ASEP) on an infinite one-dimensional lattice. When $N$ particles are initially situated in the negative region with a uniform density $\rho_-=1$, Johansson…

Statistical Mechanics · Physics 2009-11-10 Taro Nagao , Tomohiro Sasamoto
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