Single-file Diffusion of Atomic and Colloidal Systems: Asymptotic Laws

Markus Kollmann
Phys. Rev. Lett. 90, 180602 – Published 9 May 2003

Abstract

We present a general derivation of the non-Fickian behavior for the self-diffusion of identically interacting particle systems with excluded mutual passage. We show that the conditional probability distribution of finding a particle at position xt after time t, when the particle was located at x0 at t=0, follows a Gaussian distribution in the long-time limit, with variance 2W(t)t1/2 for overdamped systems and with variance 2W(t)t for classical systems. The asymptotic behavior of the mean-squared displacement, W(t), is shown to be independent of the nature of interactions for homogeneous systems in the fluid state. Moreover, the long-time behavior of self-diffusion is determined by short-time and large-scale collective density fluctuations.

  • Received 22 November 2002

DOI:https://doi.org/10.1103/PhysRevLett.90.180602

©2003 American Physical Society

Authors & Affiliations

Markus Kollmann*

  • Institut für Festkörperforschung, Teilinstitut Weiche Materie, Forschungszentrum Jülich, D-52425 Jülich, Germany

  • *Corresponding author. Email address: kollmann@lagash.dft.unipa.it

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 90, Iss. 18 — 9 May 2003

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review Letters

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×