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Age-dependent Dynamics of Locomotion in Caenorhabditis elegans: A Lyapunov Exponent Analysis
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Aging processes in systems with anomalous slow dynamics.

Nasrin Afzal1, Michel Pleimling

  • 1Department of Physics, Virginia Tech, Blacksburg, Virginia 24061-0435, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 16, 2013
PubMed
Summary
This summary is machine-generated.

This study investigates anomalous slow relaxation in driven systems, revealing a readily accessible logarithmic growth regime. A simple aging picture emerges, applicable to disordered ferromagnets and spin glasses.

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Area of Science:

  • Statistical Physics
  • Complex Systems

Background:

  • Disordered systems exhibit transient power-law domain growth followed by slower logarithmic growth.
  • The asymptotic logarithmic regime is difficult to access due to slow dynamics and long transients.

Purpose of the Study:

  • Investigate anomalous slow relaxation in driven systems where the logarithmic growth regime is accessible.
  • Focus on aging processes and dynamical scaling during logarithmic growth.

Main Methods:

  • Studied the one-dimensional ABC model and a related simplified domain model.
  • Analyzed two-times correlation and response functions.
  • Used time-dependent growth length as the scaling variable.

Main Results:

  • Identified two driven systems with accessible asymptotic logarithmic growth.
  • Observed a simple aging picture during logarithmic growth.
  • Demonstrated dynamical scaling using growth length as the variable.

Conclusions:

  • The studied aging picture is expected to apply to the asymptotic regime of disordered ferromagnets and spin glasses.
  • Provides insights into the relaxation dynamics of complex disordered systems.