Shocks in the asymmetric exclusion process with internal degree of freedom

Abstract

We determine all families of Markovian three-states lattice gases with pair interaction and a single local conservation law. One such family of models is an asymmetric exclusion process where particles exist in two different nonconserved states. We derive conditions on the transition rates between the two states such that the shock has a particularly simple structure with minimal intrinsic shock width and random walk dynamics. We calculate the drift velocity and diffusion coefficient of the shock.

arXiv comment26 pages, 1 figure

References in corpus (19)

• Traffic and Related Self-Driven Many-Particle Systems
• Statistical Physics of Vehicular Traffic and Some Related Systems
• Phase transitions in an exactly soluble one-dimensional exclusion process
• Bethe Ansatz Solution of the Asymmetric Exclusion Process with Open Boundaries
• Jamming transition in a homogeneous one-dimensional system: the Bus Route Model
• Steady-state selection in driven diffusive systems with open boundaries
• Intra-cellular transport of single-headed molecular motors KIF1A
• Canonical Analysis of Condensation in Factorised Steady State
• Asymmetric exclusion process with next-nearest-neighbor interaction: some comments on traffic flow and a nonequilibrium reentrance transition
• Cluster formation and anomalous fundamental diagram in an ant trail model
• Factorised Steady States in Mass Transport Models
• Shock Profiles for the Asymmetric Simple Exclusion Process in One Dimension
• Microscopic structure of travelling wave solutions in a class of stochastic interacting particle systems
• Relaxation times in the ASEP model using a DMRG method
• Exact shock measures and steady-state selection in a driven diffusive system with two conserved densities
• Spontaneous Jamming in One-Dimensional Systems
• Multiple Shocks in a Driven Diffusive System with Two Species of Particles
• Shift Equivalence of Measures and the Intrinsic Structure of Shocks in the Asymmetric Simple Exclusion Process
• Microscopic shape of shocks in a domain growth model

Cited by in corpus (14)

• Spectral theory for the q-Boson particle system
• Generalized Exclusion Processes: Transport Coefficients
• Random walk of second class particles in product shock measures
• Matrix Product Steady States as Superposition of Product Shock Measures in 1D Driven Systems
• Coupling, Attractiveness and Hydrodynamics for Conservative Particle Systems
• Modeling protein synthesis from a physicist's perspective: a toy model
• TASEP on a ring with internal degrees of freedom
• The Study of Shocks in Three-States Driven-Diffusive Systems: A Matrix Product Approach
• Matrix product solution for a partially asymmetric 1D lattice gas with a free defect
• Particle current fluctuations in a variant of asymmetric Glauber model
• Repelling Random Walkers in a Diffusion-Coalescence System
• Finite-dimensional representation of the quadratic algebra of a generalized coagulation-decoagulation model
• Equivalence of a one-dimensional driven-diffusive system and an equilibrium two-dimensional walk model
• Multi-species reaction-diffusion models admitting shock solutions