One-Dimensional Partially Asymmetric Simple Exclusion Process on a Ring with a Defect Particle

Abstract

The effect of a moving defect particle for the one-dimensional partially asymmetric simple exclusion process on a ring is considered. The current of the ordinary particles, the speed of the defect particle and the density profile of the ordinary particles are calculated exactly. The phase diagram for the correlation length is identified. As a byproduct, the average and the variance of the particle density of the one-dimensional partially asymmetric simple exclusion process with open boundaries are also computed.

23 pages, 1 figure

References in corpus (15)

• Phase transitions in an exactly soluble one-dimensional exclusion process
• Phase Separation in One-Dimensional Driven Diffusive Systems
• Exact solution of a cellular automaton for traffic
• Exact solution of a partially asymmetric exclusion model using a deformed oscillator algebra
• Spontaneous Breaking of Translational Invariance in One-Dimensional Stationary States on a Ring
• Shock Profiles for the Asymmetric Simple Exclusion Process in One Dimension
• Spontaneous Breaking of Translational Invariance and Spatial Condensation in Stationary States on a Ring: I. The Neutral System
• Two-way traffic flow: exactly solvable model of traffic jam
• Bethe Ansatz Solution for a Defect Particle in the Asymmetric Exclusion Process
• Stochastic Models on a Ring and Quadratic Algebras. The Three Species Diffusion Problem
• First-order phase transitions in one-dimensional steady states
• Exact solution of an exclusion process with three classes of particles and vacancies
• N-species stochastic models with boundaries and quadratic algebras
• Shift Equivalence of Measures and the Intrinsic Structure of Shocks in the Asymmetric Simple Exclusion Process
• Partially Asymmetric Simple Exclusion Model in the Presence of an Impurity on a Ring

Cited by in corpus (17)

• Nonequilibrium Steady States of Matrix Product Form: A Solver's Guide
• Exact solution of a partially asymmetric exclusion model using a deformed oscillator algebra
• Asymmetric Simple Exclusion Process with Open Boundaries and Askey-Wilson Polynomials
• The Physicist's Companion to Current Fluctuations: One-Dimensional Bulk-Driven Lattice Gases
• Two-Species Asymmetric Simple Exclusion Process with Open Boundaries
• Nonequilibrium Dynamics in Low Dimensional Systems
• Coupled Kardar-Parisi-Zhang Equations in One Dimension
• Symmetry breaking through a sequence of transitions in a driven diffusive system
• Modelling one-dimensional driven diffusive systems by the Zero-Range Process
• Condensation Transitions in Two Species Zero-Range Process
• The dynamics of cargo driven by molecular motors in the context of asymmetric simple exclusion processes
• Matrix product solution for a partially asymmetric 1D lattice gas with a free defect
• Exact Large Deviations of the Current in the Asymmetric Simple Exclusion Process with Open Boundaries
• Condensation transition in zero-range processes with diffusion
• Dependence of the transportation time on the sequence in which particles with different hopping probabilities enter a lattice
• Exact Solution of a Reaction-Diffusion Model with Particle Number Conservation
• Stroboscopic exclusion process: a first-moment-driven dynamics