Langevin formulation for single-file diffusion

2008/10/29 by Alessandro Taloni, Michael A. Lomholt
Materials Science · Physics and Astronomy · #Anomalous diffusion #Classical mechanics #Computer science #Diffusion #Diffusion equation #Dissipation #Innovation diffusion #Langevin equation #Material Dynamics and Properties #Noise (video) #Particle (ecology) #Physics #Representation (politics) #Statistical physics #Theoretical and Computational Physics #Thermodynamics #cond-mat.soft #cond-mat.stat-mech #stochastic dynamics and bifurcation

paper · pdf · doi:10.1103/physreve.78.051116

published as Phys. Rev. E 78, 051116 (2008) · 9 pages, 5 figures, 1 table, to appear in Physical Review E

arxiv created 2008/10/29 · openalex publication_date 2008/11/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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 importantly, the proposed Langevin equation reproduces quantitatively the three temporal regimes and the corresponding time scales: ballistic, diffusive, and subdiffusive.

Citations

• Evidence for single file diffusion of ethane in the molecular sieve AlPO4-5
• Anomalous dynamics of translocation
• Anomalous dynamics of forced translocation
• Fractional Brownian Motions, Fractional Noises and Applications
• The random walk's guide to anomalous diffusion: a fractional dynamics approach
• Transport, Collective Motion, and Brownian Motion
• Linear Models of Dissipation whose Q is almost Frequency Independent--II
• Diffusion with “collisions” between particles
• Stochastic Processes in Physics and Chemistry