Tracer diffusion in a crowded cylindrical channel

Rajarshi Chakrabarti, Stefan Kesselheim, Peter Košovan, and Christian Holm
Phys. Rev. E 87, 062709 – Published 19 June 2013

Abstract

Based on a coarse-grained model, we carry out molecular dynamics simulations to analyze the diffusion of a small tracer particle inside a cylindrical channel whose inner wall is covered with randomly grafted short polymeric chains. We observe an interesting transient subdiffusive behavior along the cylindrical axis at high attraction between the tracer and the chains, however, the long-time diffusion is always normal. This process is found to be enhanced for the case that we immobilize the grafted chains, i.e., the subdiffusive behavior sets in at an earlier time and spans over a longer time period before becoming diffusive. Even if the grafted chains are replaced with a frozen sea of repulsive, nonconnected particles in the background, a transient subdiffusion is observed. The intermediate subdiffusive behavior only disappears when the grafted chains are replaced with a mobile background sea of mutually repulsive particles. Overall, the long-time diffusion coefficient of the tracer along the cylinder axis decreases with an increase in system volume fraction, the strength of the attraction between the tracer and the background, and also on freezing the background.

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  • Received 19 December 2012

DOI:https://doi.org/10.1103/PhysRevE.87.062709

©2013 American Physical Society

Authors & Affiliations

Rajarshi Chakrabarti*, Stefan Kesselheim, Peter Košovan, and Christian Holm

  • Institut für Computerphysik, Universität Stuttgart, Allmandring 3, 70569 Stuttgart, Germany

  • *Present address: Department of Chemistry, Indian Institute of Technology Bombay, Powai, Mumbai 400076, India.
  • Present address: Department of Physical and Macromolecular Chemistry, Faculty of Science, Charles University in Prague, Czech Republic.
  • holm@icp.uni-stuttgart.de

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Issue

Vol. 87, Iss. 6 — June 2013

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