Weak pinning and long-range anticorrelated motion of phase boundaries in driven diffusive systems

Abstract

We show that domain walls separating coexisting extremal current phases in driven diffusive systems exhibit complex stochastic dynamics, with a subdiffusive temporal growth of position fluctuations due to long-range anticorrelated current fluctuations and a weak pinning at long times. This weak pinning manifests itself in a saturated width of the domain wall position fluctuations that increases sublinearly with the system size. As a function of time $t$ and system size $L$, the width $w(t,L)$ exhibits a scaling behavior $w(t,L)=L^{3/4}f(t/L^{9/4})$, with $f(u)$ constant for $u\gg 1$ and $f(u)\sim u^{1/3}$ for $u\ll 1$. An Orstein-Uhlenbeck process with long-range anticorrelated noise is shown to capture this scaling behavior. Results for the drift coefficient of the domain wall motion point to memory effects in its dynamics.

arXiv comment6 pages, 4 figures plus 6 pages supplemental material with 3 figures

References in corpus (33)

• Traffic and Related Self-Driven Many-Particle Systems
• Statistical Physics of Vehicular Traffic and Some Related Systems
• Nonequilibrium Steady States of Matrix Product Form: A Solver's Guide
• Cellular Automata Models of Road Traffic
• Phase transitions in an exactly soluble one-dimensional exclusion process
• Non-equilibrium statistical mechanics: From a paradigmatic model to biological transport
• Phase Coexistence in Driven One Dimensional Transport
• Universal Fluctuations of Growing Interfaces: Evidence in Turbulent Liquid Crystals
• Nonequilibrium Physics in Biology
• A KPZ Cocktail- Shaken, not stirred: Toasting 30 years of kinetically roughened surfaces
• A pedestrian's view on interacting particle systems, KPZ universality, and random matrices
• Modeling Translation in Protein Synthesis with TASEP: A Tutorial and Recent Developments
• Stochastic mechano-chemical kinetics of molecular motors: a multidisciplinary enterprise from a physicist's perspective
• Steady-state selection in driven diffusive systems with open boundaries
• Stochasticity and traffic jams in the transcription of ribosomal RNA: Intriguing role of termination and antitermination
• Fibonacci family of dynamical universality classes
• The Exclusion Process: A paradigm for non-equilibrium behaviour
• Asymmetric exclusion process with next-nearest-neighbor interaction: some comments on traffic flow and a nonequilibrium reentrance transition
• Shock Profiles for the Asymmetric Simple Exclusion Process in One Dimension
• Role of the particle's stepping cycle in an asymmetric exclusion process: A model of mRNA translation
• Novel phase-separation transition in one-dimensional driven models
• Microscopic structure of travelling wave solutions in a class of stochastic interacting particle systems
• The key parameters that govern translation efficiency
• Microscopic structure of shocks and antishocks in the ASEP conditioned on low current
• Classical Driven Transport in Open Systems with Particle Interactions and General Couplings to Reservoirs
• One-dimensional transport of interacting particles: Currents, density profiles, phase diagrams and symmetries
• On Time Correlations for KPZ Growth in One Dimension
• Random walk of second class particles in product shock measures
• Attempt-time Monte Carlo: an alternative for simulation of stochastic jump processes with time-dependent transition rates
• A reverse duality for the ASEP with open boundaries
• On low-sampling-rate Kramers-Moyal coefficients
• Pinned or moving: states of a single shock in a ring
• Exclusion model of mRNA translation with collision-induced ribosome drop-off

Cited by in corpus (1)

• Correlations of density and current fluctuations in single-file motion of hard spheres and in driven lattice gas with nearest-neighbor interaction