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

Abstract

We analyze correlations between density fluctuations and between current fluctuations in a one-dimensional driven lattice gas with repulsive nearest-neighbor interaction and in single-file Brownian motion of hard spheres dragged across a cosine potential with constant force. By extensive kinetic Monte Carlo and Brownian dynamics simulations we show that density and current correlation functions in nonequilibrium steady states follow the scaling behavior of the Kardar-Parisi-Zhang (KPZ) universality class. In a coordinate frame comoving with the collective particle velocity, the current correlation function decays as $\sim -t^{-4/3}$ with time $t$. Density fluctuations spread superdiffusively as $\sim t^{2/3}$ at long times and their spatio-temporal behavior is well described by the KPZ scaling function. In the absence of the cosine potential, the correlation functions in the system of dragged hard spheres show scaling behavior according to the Edwards-Wilkinson universality class. In the coordinate frame comoving with the mean particle velocity, they behave as in equilibrium, with current correlations decaying as $\sim -t^{-3/2}$ and density fluctuations spreading diffusively as $\sim t^{1/2}$.

arXiv comment8 pages, 3 figures

References in corpus (36)

• Phase transitions in an exactly soluble one-dimensional exclusion process
• Exact scaling functions for one-dimensional stationary KPZ growth
• 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
• From random walk to single-file diffusion
• Stochasticity and traffic jams in the transcription of ribosomal RNA: Intriguing role of termination and antitermination
• Fibonacci family of dynamical universality classes
• Screened hydrodynamic interaction in a narrow channel
• Asymmetric exclusion process with next-nearest-neighbor interaction: some comments on traffic flow and a nonequilibrium reentrance transition
• Event-Driven Brownian Dynamics for Hard Spheres
• Lane reduction in driven 2d-colloidal systems through microchannels
• Role of the particle's stepping cycle in an asymmetric exclusion process: A model of mRNA translation
• The key parameters that govern translation efficiency
• 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
• Non-linear fluctuating hydrodynamics for KPZ scaling in isotropic spin chains
• Brownian asymmetric simple exclusion process
• Event Driven Langevin simulations of Hard Spheres
• Solitons in overdamped Brownian dynamics
• Kardar-Parisi-Zhang Universality of the Nagel-Schreckenberg Model
• Attempt-time Monte Carlo: an alternative for simulation of stochastic jump processes with time-dependent transition rates
• Single-File Diffusion of Externally Driven Particles
• Single-file transport in periodic potentials: The Brownian asymmetric exclusion process
• Unidirectional hopping transport of interacting particles on a finite chain
• A reverse duality for the ASEP with open boundaries
• Brownian dynamics simulations of hard rods in external fields and with contact interactions
• Hydrodynamic interactions hinder transport of flow-driven colloidal particles
• Phase locking and fractional Shapiro steps in collective dynamics of microparticles
• Nonequilibrium transport and phase transitions in driven diffusion of interacting particles
• Exclusion model of mRNA translation with collision-induced ribosome drop-off
• Solitary cluster waves in periodic potentials: Formation, propagation, and soliton-mediated particle transport
• Fast Brownian cluster dynamics
• Critical dynamics of the jamming transition in one-dimensional nonequilibrium lattice-gas models
• Weak pinning and long-range anticorrelated motion of phase boundaries in driven diffusive systems

Cited by in corpus (1)

• Nonequilibrium phase transition in single-file transport at high crowding