Langevin formulation for single-file diffusion

Abstract

We introduce a stochastic equation for the microscopic motion of a tagged particle in the single file model. This equation provides a compact representation of several of the system's properties such as Fluctuation-Dissipation and Linear Response relations, achieved by means of a diffusion noise approach. Most important, the proposed Langevin Equation reproduces quantitatively the \emph{three} temporal regimes and the corresponding time scales: ballistic, diffusive and subdiffusive.

9 pages, 5 figures, 1 table, to appear in Physical Review E

References in corpus (8)

• Fractional Langevin equation
• Anomalous Dynamics of Translocation
• Anomalous Dynamics of Forced Translocation
• Single-File Diffusion of Atomic and Colloidal Systems: Asymptotic Laws
• Screened hydrodynamic interaction in a narrow channel
• Single-File diffusion in a Box
• Motion of a driven tracer particle in a one-dimensional symmetric lattice gas
• Anomalous Diffusion with Absorbing Boundary

Cited by in corpus (34)

• Foundation of Fractional Langevin Equation: Harmonization of a Many Body Problem
• Generalized Elastic Model yields Fractional Langevin Equation
• The Lasting Effect of Initial Conditions on Single File Diffusion
• Fractional generalized Langevin equation approach to single-file diffusion
• Diffusion of Finite-Sized Hard-Core Interacting Particles In a One-Dimensional Box - Tagged Particle Dynamics
• Tracer diffusion in crowded narrow channels. Topical review
• Diffusion of Tagged Particle in an Exclusion Process
• Single-file escape of colloidal particles from microfluidic channels
• Single File Diffusion of particles with long ranged interactions: damping and finite size effects
• First Passage Times for a Tracer Particle in Single File Diffusion and Fractional Brownian Motion
• Subdiffusive Brownian ratchets rocked by a periodic force
• Generalised density profiles in single-file systems
• Effective Edwards-Wilkinson equation for single-file diffusion
• Modeling Single-File Diffusion by Step Fractional Brownian Motion and Generalized Fractional Langevin Equation
• Correlations in a Generalized Elastic Model: Fractional Langevin Equation Approach
• Dynamics of Run-and-Tumble Particles in Dense Single-File Systems
• Effect of correlated noise on quasi-1D diffusion
• Interacting single-file system: Fractional Langevin formulation versus diffusion-noise approach
• Single-file diffusion with non-thermal initial conditions
• Tunable diffusion of magnetic particles in a quasi-one-dimensional channel
• Analytical Calculation of Four-Point Correlations for a Simple Model of Cages Involving Numerous Particles
• Insights from Single-File Diffusion into Cooperativity in Higher Dimensions
• Calculation of displacement correlation tensor indicating vortical cooperative motion in two-dimensional colloidal liquids
• Brownian motion and anomalous diffusion revisited via a fractional Langevin equation
• Bath-Mediated Interactions between Driven Tracers in Dense Single-Files
• Cumulant generating functions of a tracer in quenched dense symmetric exclusion processes
• $N$-tag Probability Law of the Symmetric Exclusion Process
• Single-File Diffusion of Active Brownian Particles
• Evolution equation for tagged particle density and correlations in single file diffusion
• First-passage dynamics of obstructed tracer particle diffusion in one-dimensional systems
• Tagged-Particle Statistics in Single-File Motion with Random-Acceleration and Langevin Dynamics
• Emerging quasi-0D states at vanishing total entropy of the 1D hard sphere system: a coarse-grained similarity to the car parking problem
• Two Modes of Cluster Dynamics Govern the Viscoelasticity of Colloidal Gels
• When velocity autocorrelations mirror force autocorrelations: Exact noise-cancellation in interacting Brownian systems