TASEP on a ring with internal degrees of freedom

Abstract

A totally asymmetric exclusion process on a ring with $\nu$ non-conserved internal degrees of freedom, where particles hop forward with a rate that depends on their internal state, has been studied. We show, using a mapping of the model to a zero range process with $\nu$ different kinds of boxes, that steady state weights can be written in a matrix product form and calculate the spatial correlations exactly. A comparison of the model with an equivalent conserved system reveals that unequal hopping rates of particles belonging to different internal states is responsible for the non-trivial correlations.

6 pages, 4 eps Figs

References in corpus (8)

• Nonequilibrium Steady States of Matrix Product Form: A Solver's Guide
• Nonequilibrium Statistical Mechanics of the Zero-Range Process and Related Models
• Intra-cellular transport of single-headed molecular motors KIF1A
• Cluster formation and anomalous fundamental diagram in an ant trail model
• Matrix representation of the stationary measure for the multispecies TASEP
• On the Two Species Asymmetric Exclusion Process with Semi-Permeable Boundaries
• Shocks in the asymmetric exclusion process with internal degree of freedom
• Particle Ordering in Zero Range Process : Exact spatial correlations of the corresponding exclusion models

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• Phase coexistence and spatial correlations in reconstituting k-mer models
• Multi species asymmetric simple exclusion process with impurity activated flips
• Short-range and long-range correlations in driven dense colloidal mixtures in narrow pores
• Phase Separation Transition in a Nonconserved Two Species Model
• A new family of exactly solvable disordered reaction-diffusion systems
• Particle hopping on a ladder: exact solution using multibalance