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We theoretically study the Totally Asymmetric Exclusion Process (TASEP) with quenched jumping rates disorder and finite lifetime chain. TASEP is widely used to model the translation of messenger RNAs by Ribosomes in protein synthesis. Since…

We present a driven diffusive model which we call the Bus Route Model. The model is defined on a one-dimensional lattice, with each lattice site having two binary variables, one of which is conserved (``buses'') and one of which is…

Statistical Mechanics · Physics 2009-10-30 O. J. O'Loan , M. R. Evans , M. E. Cates

Steady state properties of a driven tracer moving in a narrow two dimensional (2D) channel of quiescent medium are studied. The tracer drives the system out of equilibrium, perturbs the density and pressure fields, and gives the bath…

Statistical Mechanics · Physics 2017-01-11 J. Cividini , D. Mukamel , H. A. Posch

Totally asymmetric simple exclusion process (TASEP) sets the paradigm for one-dimensional driven single file motion. We study a periodic TASEP with two ``road blocks'' or defects of different kinds, one point and another extended, across…

Statistical Mechanics · Physics 2024-12-31 Atri Goswami , Rohn Chatterjee , Sudip Mukherjee

We propose and study a one-dimensional (1D) model consisting of two lanes with open boundaries. One of the lanes executes diffusive and the other lane driven unidirectional or asymmetric exclusion dynamics, which are mutually coupled…

Statistical Mechanics · Physics 2023-11-27 Atri Goswami , Utsa Dey , Sudip Mukherjee

The process of protein synthesis in biological systems resembles a one dimensional driven lattice gas in which the particles have spatial extent, covering more than one lattice site. We expand the well studied Totally Asymmetric Exclusion…

Statistical Mechanics · Physics 2009-11-10 Leah B. Shaw , R. K. P. Zia , Kelvin H. Lee

Motivated by experimental results on the interplay between molecular motors and tau proteins, we extend lattice-based models of intracellular transport to include a second species of particle which locally influences the motor-filament…

Subcellular Processes · Quantitative Biology 2010-04-27 H. Grzeschik , R. J. Harris , L. Santen

Molecular motor proteins serve as an essential component of intracellular transport by generating forces to haul cargoes along cytoskeletal filaments. Two species of motors that are directed oppositely (e.g. kinesin, dynein) can be attached…

Subcellular Processes · Quantitative Biology 2017-05-10 Christopher E. Miles , James P. Keener

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 use a semiclassical approach to study out of equilibrium dynamics and transport in quantum systems with massive quasiparticle excitations having internal quantum numbers. In the universal limit of low energy quasiparticles, the system is…

Statistical Mechanics · Physics 2019-03-20 Márton Kormos , Catalin Pascu Moca , Gergely Zaránd

The totally asymmetric simple exclusion process (TASEP), which describes the stochastic dynamics of interacting particles on a lattice, has been actively studied over the past several decades and applied to model important biological…

Biological Physics · Physics 2021-05-05 Dan D. Erdmann-Pham , Wonjun Son , Khanh Dao Duc , Yun S. Song

Natural phenomena frequently involve a very large number of interacting molecules moving in confined regions of space. Cellular transport by motor proteins is an example of such collective behavior. We derive a deterministic compartmental…

Subcellular Processes · Quantitative Biology 2017-11-01 Yoram Zarai , Michael Margaliot , Anatoly B. Kolomeisky

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

We investigate the conditions under which a moving condensate may exist in a driven mass transport system. Our paradigm is a minimal mass transport model in which $n-1$ particles move simultaneously from a site containing $n>1$ particles to…

Statistical Mechanics · Physics 2015-05-26 Justin Whitehouse , André Costa , Richard A Blythe , Martin R Evans

We revisit the defect-induced nonequilibrium phase transition from a largely homogeneous free-flow phase to a phase-separated congested phase in the sublattice totally asymmetric simple exclusion process (TASEP) with local deterministic…

Statistical Mechanics · Physics 2023-06-27 Gunter M. Schütz

A simple model for the nonlinear collective transport of interacting particles in a random medium with strong disorder is introduced and analyzed. A finite threshold for the driving force divides the behavior into two regimes characterized…

Condensed Matter · Physics 2009-10-28 Joe Watson , Daniel S. Fisher

We consider the dynamics of a single shock in a partially asymmetric simple exclusion process (PASEP) on a finite lattice with open boundaries in the sublattice-parallel updating scheme. We then construct the steady state of the system by…

Statistical Mechanics · Physics 2016-05-16 S. R. Masharian , F. Zamani

Mixing and transport of passive particles are studied in a simple kinematic model of a meandering jet flow motivated by the problem of lateral mixing and transport in the Gulf Stream. We briefly discuss a model streamfunction, Hamiltonian…

Chaotic Dynamics · Physics 2012-05-29 S. V. Prants , M. V. Budyansky , M. Yu. Uleysky , G. M. Zaslavsky

The asymmetric simple exclusion process with additional Langmuir kinetics, i.e. attachment and detachment in the bulk, is a paradigmatic model for intracellular transport. Here we study this model in the presence of randomly distributed…

Statistical Mechanics · Physics 2009-11-13 Philip Greulich , Andreas Schadschneider

The flow of segregated bidisperse assemblies of particles is of major importance for geophysical flows and bedload transport in particular. In the present paper, the mobility of bidisperse segregated particle beds was studied with a coupled…

Geophysics · Physics 2020-11-25 Rémi Chassagne , Raphaël Maurin , Julien Chauchat , Philippe Frey
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