• Letter

Scaling laws for single-file diffusion of adhesive particles

Sören Schweers, Alexander P. Antonov, Artem Ryabov, and Philipp Maass
Phys. Rev. E 107, L042102 – Published 24 April 2023

Abstract

Single-file diffusion refers to the Brownian motion in narrow channels where particles cannot pass each other. In such processes, the diffusion of a tagged particle is typically normal at short times and becomes subdiffusive at long times. For hard-sphere interparticle interaction, the time-dependent mean squared displacement of a tracer is well understood. Here we develop a scaling theory for adhesive particles. It provides a full description of the time-dependent diffusive behavior with a scaling function that depends on an effective strength of adhesive interaction. Particle clustering induced by the adhesive interaction slows down the diffusion at short times, while it enhances subdiffusion at long times. The enhancement effect can be quantified in measurements irrespective of how tagged particles are injected into the system. Combined effects of pore structure and particle adhesiveness should speed up translocation of molecules through narrow pores.

  • Figure
  • Figure
  • Received 16 January 2023
  • Accepted 29 March 2023

DOI:https://doi.org/10.1103/PhysRevE.107.L042102

©2023 American Physical Society

Physics Subject Headings (PhySH)

Statistical Physics & Thermodynamics

Authors & Affiliations

Sören Schweers1,*, Alexander P. Antonov1,†, Artem Ryabov2,‡, and Philipp Maass1,§

  • 1Universität Osnabrück, Fachbereich Physik, Barbarastraße 7, D-49076 Osnabrück, Germany
  • 2Charles University, Faculty of Mathematics and Physics, Department of Macromolecular Physics, V Holešovičkách 2, CZ-18000 Praha 8, Czech Republic

  • *sschweers@uos.de
  • alantonov@uos.de
  • rjabov.a@gmail.com
  • §maass@uos.de

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Issue

Vol. 107, Iss. 4 — April 2023

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