# Local inhomogeneity in asymmetric simple exclusion processes with extended objects

@article{Shaw2004LocalII, title={Local inhomogeneity in asymmetric simple exclusion processes with extended objects}, author={Leah B. Shaw and Anatoly B. Kolomeisky and Kelvin H. Lee}, journal={Journal of Physics A}, year={2004}, volume={37}, pages={2105-2113} }

Totally asymmetric simple exclusion processes (TASEP) with particles which occupy more than one lattice site and with a local inhomogeneity far away from the boundaries are investigated. These non-equilibrium processes are relevant for the understanding of many biological and chemical phenomena. The steady-state phase diagrams, currents and bulk densities are calculated using a simple approximate theory and extensive Monte Carlo computer simulations. It is found that the phase diagram for TASEP…

## 94 Citations

Local inhomogeneity in totally asymmetric simple exclusion processes with different hopping rates

- Physics
- 2012

Local inhomogeneity in totally asymmetric simple exclusion processes (TASEPs) with different hopping rates was studied. Many biological and chemical phenomena can be described by these…

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- Physics
- 2005

Totally asymmetric simple exclusion processes on lattices with junctions, where particles interact with hard core exclusion and move on parallel lattice branches that at the junction combine into a…

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- Computer Science
- 2011

An overview of recent developments in TASEP with inhomogeneity is provided, and several popular mean-field techniques used to analyze the inhomogeneous TAsEP models are summarized.

Totally Asymmetric Exclusion Processes On Lattices With A Branching Point

- Physics
- 2009

We study totally asymmetric simple exclusion process (TASEP) where particles move on a single-chain lattice which diverges into two parallel lattice branches. At the branching point, the particles…

Inhomogeneous coupling in two-channel asymmetric simple exclusion processes

- Physics
- 2008

Asymmetric exclusion processes for particles moving on parallel channels with inhomogeneous coupling are investigated theoretically. Particles interact with hard-core exclusion and move in the same…

Two-channel totally asymmetric simple exclusion processes

- Physics
- 2004

A simple approximate theory, that describes the particle dynamics in vertical clusters of two corresponding parallel sites exactly and neglects the correlations between different vertical clusters, is developed and it is found that there are three stationary state phases, although the phase boundaries and stationary properties strongly depend on inter-channel coupling.

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- Physics
- 2007

Multi-particle non-equilibrium dynamics in two-channel asymmetric exclusion processes with narrow entrances is investigated theoretically. Particles move on two parallel lattices in opposite…

THEORETICAL INVESTIGATION OF SYNCHRONOUS TOTALLY ASYMMETRIC SIMPLE EXCLUSION PROCESS WITH DETACHMENT

- Physics
- 2011

This paper investigates a synchronous totally asymmetric simple exclusion process (TASEP) with a detachment in a one-dimensional system. In the model, particles can detach irreversibly with…

Totally asymmetric exclusion processes on two intersected lattices with open and periodic boundaries

- Physics
- 2010

In this paper, we study TASEPs on two intersected lattices. One TASEP has an open boundary (lattice 1) and the other has a periodic boundary (lattice 2). Extensive Monte Carlo simulations are carried…

Asymmetric coupling in multi-channel simple exclusion processes

- Physics
- 2008

In this paper, we investigate N-channel simple exclusion processes in which particles can move across N parallel lattices and jump fully asymmetrically between the channels. Monte Carlo simulations…

## References

SHOWING 1-10 OF 16 REFERENCES

Asymmetric simple exclusion model with local inhomogeneity

- Physics
- 1998

We study a totally asymmetric simple exclusion model with open boundary conditions and a local inhomogeneity in the bulk. It consists of a one-dimensional lattice with particles hopping…

Effect of Detachments in Asymmetric Simple Exclusion Processes

- Physics, Chemistry
- 2003

Asymmetric simple exclusion processes are important for understanding low-dimensional multi-particle dynamic phenomena. The effect of irreversible detachments of particles on dynamics of asymmetric…

Phase diagram of one-dimensional driven lattice gases with open boundaries

- Physics
- 1998

We consider the asymmetric simple exclusion process (ASEP) with open boundaries and other driven stochastic lattice gases of particles entering, hopping and leaving a one- dimensional lattice. The…

Totally asymmetric exclusion process with extended objects: a model for protein synthesis.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2003

The well studied totally asymmetric exclusion process, in which particles typically cover a single lattice site, is expanded to include cases with extended objects, and an extremal principle based on domain wall theory accurately predicts the phase diagram and currents in each phase.

Totally asymmetric exclusion processes with particles of arbitrary size

- Physics
- 2003

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…

Exact results for the asymmetric simple exclusion process with a blockage

- Mathematics
- 1994

We present new results for the current as a function of transmission rate in the one-dimensional totally asymmetric simple exclusion process (TASEP) with a blockage that lowers the jump rate at one…

Non-equilibrium relaxation law for entangled polymers

- Physics
- 1999

We study the far-from-equilibrium relaxation of an initially stretched, entangled polymer by using an exactly solvable lattice gas model for reptation. Over a significant time range, including an…

LETTER TO THE EDITOR: Empirical evidence for a boundary-induced nonequilibrium phase transition

- Physics
- 2001

A recently developed theory for boundary-induced phenomena in nonequilibrium systems predicts the existence of various steady-state phase transitions induced by the motion of a shock wave. We provide…