Theory of Single File Diffusion in a Force Field

Abstract

The dynamics of hard-core interacting Brownian particles in an external potential field is studied in one dimension. Using the Jepsen line we find a very general and simple formula relating the motion of the tagged center particle, with the classical, time dependent single particle reflection $\mathcal{R}$ and transmission $\mathcal{T}$ coefficients. Our formula describes rich physical behaviors both in equilibrium and the approach to equilibrium of this many body problem.

4 Phys. Rev. pages

References in corpus (4)

• Single-File Diffusion of Atomic and Colloidal Systems: Asymptotic Laws
• From random walk to single-file diffusion
• Single-File diffusion in a Box
• On single file and less dense processes

Cited by in corpus (60)

• Single particle tracking in systems showing anomalous diffusion: the role of weak ergodicity breaking
• Foundation of Fractional Langevin Equation: Harmonization of a Many Body Problem
• Large Deviations in Single File Diffusion
• The Lasting Effect of Initial Conditions on Single File Diffusion
• Kramers escape driven by fractional Brownian motion
• 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
• Aging dynamics in interacting many-body systems
• Universal Large Deviations for the Tagged Particle in Single File Motion
• Diffusion of Tagged Particle in an Exclusion Process
• Transition from single-file to two-dimensional diffusion of interacting particles in a quasi-one-dimensional channel
• Single-file escape of colloidal particles from microfluidic channels
• Milestoning estimators of dissipation in systems observed at a coarse resolution: When ignorance is truly bliss
• Manifestations of Projection-Induced Memory: General Theory and the Tilted Single File
• Effects of jamming on non-equilibrium transport times in nano-channels
• Role of initial conditions in $1D$ diffusive systems: compressibility, hyperuniformity and long-term memory
• Effective Edwards-Wilkinson equation for single-file diffusion
• Modeling Single-File Diffusion by Step Fractional Brownian Motion and Generalized Fractional Langevin Equation
• Correlation and fluctuation in Random Average Process on an infinite line with a driven tracer
• Exact correlations in a single file system with a driven tracer
• Unfolding Tagged Particle Histories in Single-File Diffusion: Exact Single- and Two-Tag Local Times Beyond Large Deviation Theory
• Dynamics of heterogeneous hard spheres in a file
• Dynamical fluctuations in the Riesz gas
• Single-File Diffusion of Externally Driven Particles
• Single-file transport in periodic potentials: The Brownian asymmetric exclusion process
• Diffusion of tagged particles in a crowded medium
• Single-file diffusion in a bi-stable potential: signatures of memory in the barrier-crossing of a tagged-particle
• Tagged particle in single-file diffusion with arbitrary initial conditions
• Tagged particle diffusion in one-dimensional gas with Hamiltonian dynamics
• Single-file diffusion with non-thermal initial conditions
• Interacting single-file system: Fractional Langevin formulation versus diffusion-noise approach
• Pumping single-file colloids: Absence of current reversal
• Insights from Single-File Diffusion into Cooperativity in Higher Dimensions
• Analytical Calculation of Four-Point Correlations for a Simple Model of Cages Involving Numerous Particles
• Macroscopic fluctuations of a driven tracer in the symmetric exclusion process
• Tracer dynamics in a single-file system with absorbing boundary
• Slow Kinetics of Brownian Maxima
• Dissimilar bouncy walkers
• Absence of jamming in ant trails: Feedback control of self propulsion and noise
• Single-file diffusion and kinetics of template assisted assembly of colloids
• Hyperuniformity in mass transport processes with center-of-mass conservation: Some exact results
• Universality and non-universality of mobility in heterogeneous single-file systems and Rouse chains
• On the Mixing of Diffusing Particles
• Large deviations of a tracer position in the dense and the dilute limits of a single-file diffusion
• Tagged particle diffusion in one-dimensional systems with Hamiltonian dynamics - II
• Many-body effects in tracer particle diffusion with applications for single-protein dynamics on DNA
• Fast Brownian cluster dynamics
• One dimensional Brownian motion in hard rods: adiabatic piston problem
• Controlling Colloidal Flow through a Microfluidic Y-junction
• BetheSF: Efficient computation of the exact tagged-particle propagator in single-file systems via the Bethe eigenspectrum
• Uphill drift in the absence of current in single-file diffusion
• First-passage dynamics of obstructed tracer particle diffusion in one-dimensional systems
• Tracer and current fluctuations in driven diffusive systems
• Tagged-Particle Statistics in Single-File Motion with Random-Acceleration and Langevin Dynamics
• Curvature induces and enhances transport of spinning colloids through narrow channels
• Current fluctuations in the symmetric zero-range process below and at critical density
• Tracer dynamics in the active random average process
• Exact fluctuation and long-range correlations in a single-file model under resetting
• Single file dynamics of tethered random walkers
• Exact large-scale correlations in diffusive systems with general interactions: explicit characterisation without the Dean--Kawasaki equation