Single file diffusion of macroscopic charged particles

Abstract

In this paper, we study a macroscopic system of electrically interacting metallic beads organized as a sequence along an annulus. A random mechanical shaking mimics the thermal excitation. We exhibit non Fickian diffusion (Single File Diffusion) at large time. We measure the mobility of the particles, and compare it to theoretical expectations. We show that our system cannot be accurately described by theories assuming only hard sphere interactions. Its behavior is qualitatively described by a theory extended to more realistic potentials [Kollmann, PRL {\bf 90} 180602, (2003)]. A correct quantitative agreement is shown, and we interpret the discrepancies by the violation of a key assumption of the theory, that of overdamped dynamics. We recast previous results on colloids with known interaction potentials, and compare them quantitatively to the theory. Focusing on the transition between ordinary and single file diffusion, we exhibit a dimensionless crossover time that is of order one both for colloids and our system, although the time and length scales differ by several orders of magnitude.

26

References in corpus (5)

• From random walk to single-file diffusion
• Single file diffusion in macroscopic Wigner rings
• Single File Diffusion enhancement in a fluctuating modulated 1D channel
• Local Symmetries and Order-Disorder Transitions in Small Macroscopic Wigner Islands
• Determination of the interactions in confined macroscopic Wigner islands: theory and experiments

Cited by in corpus (16)

• Single File Diffusion of particles with long ranged interactions: damping and finite size effects
• Stochastic pump of interacting particles
• Interacting single-file system: Fractional Langevin formulation versus diffusion-noise approach
• Tunable diffusion of magnetic particles in a quasi-one-dimensional channel
• Generic ordering of structural transitions in quasi-one-dimensional Wigner crystals
• Positive and Negative Drag, Dynamic Phases, and Commensurability in Coupled One-Dimensional Channels of Particles with Yukawa Interactions
• Kinetic temperature and pressure of an active Tonks gas
• Single-File Diffusion of Active Brownian Particles
• Nonlocal birth-death competitive dynamics with volume exclusion
• Anisotropic finite-size scaling of an elastic string at the depinning threshold in a random-periodic medium
• Scaling laws for single-file diffusion of adhesive particles
• Fast Brownian cluster dynamics
• The Effect of Pinning on Drag in Coupled One-Dimensional Channels of Particles
• Tracer and current fluctuations in driven diffusive systems
• Emerging quasi-0D states at vanishing total entropy of the 1D hard sphere system: a coarse-grained similarity to the car parking problem
• Single file diffusion meets Feynman path integral