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Asymmetric Walkway: A Novel Behavioral Assay for Studying Asymmetric Locomotion
08:19

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Published on: January 15, 2016

Random walk with barriers.

Dmitry S Novikov1, Els Fieremans, Jens H Jensen

  • 1Center for Biomedical Imaging, Department of Radiology, New York University School of Medicine, New York, NY 10016, USA.

Nature Physics
|June 21, 2011
PubMed
Summary
This summary is machine-generated.

Permeable membranes restrict molecular motion, impacting transport properties in various materials. We found a novel scaling behavior in diffusion, revealing a new universality class for structural disorder.

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Area of Science:

  • Physics
  • Materials Science
  • Physical Chemistry

Background:

  • Molecular motion is restricted by barriers like membranes in porous media, composites, and tissues.
  • Characterizing material microstructure non-destructively via bulk transport measurements is challenging.

Purpose of the Study:

  • To demonstrate how permeable membranes introduce long-range structural correlations affecting transport.
  • To analyze Brownian motion restricted by randomly placed and oriented membranes.

Main Methods:

  • Utilized a scattering approach to study the disorder-averaged diffusion propagator.
  • Applied renormalization group solution to reveal scaling behavior.

Main Results:

  • Identified a characteristic slow inverse square root time dependence for the diffusion coefficient in any dimension.
  • Discovered a novel universality class of structural disorder arising from spatial restrictions.

Conclusions:

  • Permeable barriers significantly influence transport properties.
  • The findings enable identification and quantification of permeable barriers and their surface area.