Disorder and non-conservation in a driven diffusive system
arXiv:cond-mat/0405611 · doi:10.1103/PhysRevE.70.066124
Abstract
We consider a disordered asymmetric exclusion process in which randomly chosen sites do not conserve particle number. The model is motivated by features of many interacting molecular motors such as RNA polymerases. We solve the steady state exactly in the two limits of infinite and vanishing non-conserving rates. The first limit is used as an approximation to large but finite rates and allows the study of Griffiths singularities in a nonequilibrium steady state despite the absence of any transition in the pure model. The disorder is also shown to induce a stretched exponential decay of system density with stretching exponent ϕ= 2/5.
12 pages, 2 figures
References in corpus (8)
- Phase Coexistence in Driven One Dimensional Transport
- Traffic of molecular motors through tube-like compartments
- Shock formation in an exclusion process with creation and annihilation
- Localization of shocks in driven diffusive systems without particle number conservation
- Dynamics of Molecular Motors and Polymer Translocation with Sequence Heterogeneity
- The Lee-Yang theory of equilibrium and nonequilibrium phase transitions
- Sample-Dependent Phase Transitions in Disordered Exclusion Models
- Dynamics of a disordered, driven zero range process in one dimension
Cited by in corpus (15)
- Bottleneck-induced transitions in a minimal model for intracellular transport
- A dynamically extending exclusion process
- Weakly coupled, antiparallel, totally asymmetric simple exclusion processes
- Partially Asymmetric Exclusion Processes with Sitewise Disorder
- Molecular Spiders with Memory
- Strong Griffiths singularities in random systems and their relation to extreme value statistics
- Nonlinear hopping transport in ring systems and open channels
- Molecular Spiders in One Dimension
- Traffic of cytoskeletal motors with disordered attachment rates
- The effect of detachment and attachment to a kink motion in the asymmetric simple exclusion process
- An exactly solvable dissipative transport model
- Occupancy correlations in the asymmetric simple inclusion process
- Molecular Spiders on the Plane
- Scaling approach to related disordered stochastic and free-fermion models
- Condensate formation in a zero-range process with random site capacities