Partially asymmetric exclusion models with quenched disorder

Abstract

We consider the one-dimensional partially asymmetric exclusion process with random hopping rates, in which a fraction of particles (or sites) have a preferential jumping direction against the global drift. In this case the accumulated distance traveled by the particles, x, scales with the time, t, as x ~ t^{1/z}, with a dynamical exponent z > 0. Using extreme value statistics and an asymptotically exact strong disorder renormalization group method we analytically calculate, z_{pt}, for particlewise (pt) disorder, which is argued to be related to the dynamical exponent for sitewise (st) disorder as z_{st}=z_{pt}/2. In the symmetric situation with zero mean drift the particle diffusion is ultra-slow, logarithmic in time.

4 pages, 3 figures

References in corpus (16)

• Statistical Physics of Vehicular Traffic and Some Related Systems
• Nonequilibrium Critical Phenomena and Phase Transitions into Absorbing States
• Phase Coexistence in Driven One Dimensional Transport
• Bose-Einstein Condensation In Disordered Exclusion Models and Relation to Traffic Flow
• Random Walkers in 1-D Random Environments: Exact Renormalization Group Analysis
• Strong disorder fixed point in absorbing state phase transitions
• Exact solution of a partially asymmetric exclusion model using a deformed oscillator algebra
• Exact Results for the Asymmetric Simple Exclusion Process with a Blockage
• Driven Lattice Gases with Quenched Disorder: Exact Results and Different Macroscopic Regimes
• Exact Steady States of Disordered Hopping Particle Models with Parallel and Ordered Sequential Dynamics
• Absorbing state phase transitions with quenched disorder
• Steady State and Dynamics of Driven Diffusive Systems with Quenched Disorder
• Disordered asymmetric simple exclusion process: mean-field treatment
• Exact renormalization of the random transverse-field Ising spin chain in the strongly ordered and strongly disordered Griffiths phases
• Random antiferromagnetic quantum spin chains: Exact results from scaling of rare regions
• Sample-Dependent Phase Transitions in Disordered Exclusion Models

Cited by in corpus (46)

• Nonequilibrium Steady States of Matrix Product Form: A Solver's Guide
• Nonequilibrium Statistical Mechanics of the Zero-Range Process and Related Models
• Strong disorder RG approach of random systems
• Physics of Transport and Traffic Phenomena in Biology: from molecular motors and cells to organisms
• Renormalization group study of the two-dimensional random transverse-field Ising model
• Bottleneck-induced transitions in a minimal model for intracellular transport
• Interacting RNA polymerase motors on DNA track: effects of traffic congestion and intrinsic noise on RNA synthesis
• Traffic of interacting ribosomes on mRNA during protein synthesis: effects of chemo-mechanics of individual ribosomes
• Traffic of interacting ribosomes: effects of single-machine mechano-chemistry on protein synthesis
• Driven Diffusive Systems with Disorder
• Localization and universal fluctuations in ultraslow diffusion processes
• Characteristics of the asymmetric simple exclusion process in the presence of quenched spatial disorder
• Partially Asymmetric Exclusion Processes with Sitewise Disorder
• Single-Bottleneck Approximation for Driven Lattice Gases with Disorder and Open Boundary Conditions
• Condensation in the inhomogeneous zero-range process: an interplay between interaction and diffusion disorder
• Asymmetric Exclusion Processes with Disorder: Effect of Correlations
• Strong Griffiths singularities in random systems and their relation to extreme value statistics
• The partially asymmetric zero range process with quenched disorder
• Diffusive transport in networks built of containers and tubes
• Traffic of cytoskeletal motors with disordered attachment rates
• Random walks and polymers in the presence of quenched disorder
• Dynamics at barriers in bidirectional two-lane exclusion processes
• Non equilibrium dynamics of disordered systems : understanding the broad continuum of relevant time scales via a strong-disorder RG in configuration space
• Random elastic networks : strong disorder renormalization approach
• Dissipative random quantum spin chain with boundary-driving and bulk-dephasing: magnetization and current statistics in the Non-Equilibrium-Steady-State
• Simulation of 1+1 dimensional surface growth and lattices gases using GPUs
• Temporally correlated zero-range process with open boundaries: Steady state and fluctuations
• Equilibrium of disordered systems : constructing the appropriate valleys in each sample via strong disorder renormalization in configuration space
• Occupancy correlations in the asymmetric simple inclusion process
• Random walk in two-dimensional self-affine random potentials : strong disorder renormalization approach
• Inhomogeneous asymmetric exclusion processes between two reservoirs : large deviations for the local empirical observables in the Mean-Field approximation
• Non-equilibrium dynamics of finite-dimensional disordered systems : RG flow towards an "infinite disorder" fixed point at large times
• Driven interfaces in random media at finite temperature : is there an anomalous zero-velocity phase at small external force ?
• Extreme statistics of the excitations in the random transverse Ising chain
• Interference of two co-directional exclusion processes in the presence of a static bottleneck: a biologically motivated model
• Local equilibrium properties of ultraslow diffusion in the Sinai model
• Anomalous transport in disordered exclusion processes with coupled particles
• Low-temperature dynamics of Long-Ranged Spin-Glasses : full hierarchy of relaxation times via real-space renormalization
• Anomalous diffusion in disordered multi-channel systems
• Scaling approach to related disordered stochastic and free-fermion models
• Mean field treatment of exclusion processes with random-force disorder
• Renormalization-group investigation of the S=1 random antiferromagnetic Heisenberg Chain
• The effect of asymmetric disorder on the diffusion in arbitrary networks
• Unexpected Effects of Disorder on Current Fluctuations in the Symmetric Simple Exclusion Process
• Symmetry Breaking of Current Response in Disordered Exclusion Processes
• Condensate formation in a zero-range process with random site capacities