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Glassy dynamics in thermally activated list sorting.

Ling-Nan Zou1, Sidney R Nagel

  • 1The James Franck Institute and Department of Physics, The University of Chicago, Chicago, Illinois 60637, USA. zou@uchicago.edu

Physical Review Letters
|September 28, 2010
PubMed
Summary
This summary is machine-generated.

Sorting integers using a novel algorithm exhibits glass-like behaviors, including memory and rejuvenation effects. This discovery offers new insights into glassy dynamics, even in small systems.

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Area of Science:

  • Physics
  • Computer Science
  • Materials Science

Background:

  • Sorting integers is typically a straightforward computational task.
  • Glassy dynamics are characterized by slow relaxation, memory, and rejuvenation effects.
  • Simulating these effects in standard models has been challenging.

Purpose of the Study:

  • To investigate if a simple sorting algorithm can exhibit characteristics of glassy dynamics.
  • To explore memory and rejuvenation effects in a computational system.
  • To provide a novel model for studying glassy dynamics.

Main Methods:

  • Developed a sorting algorithm based on thermally activated pairwise exchanges of neighboring list elements.
  • Applied the algorithm to sort lists of integers from 1 to N, with N as small as 5.
  • Observed and analyzed the system's behavior during aging.

Main Results:

  • The sorting algorithm demonstrated features analogous to a glass, even for small list sizes (N=5).
  • Observed memory effects, where the system's past states influence its future behavior.
  • Observed rejuvenation effects, where the system can be reset or revitalized.

Conclusions:

  • A simple sorting algorithm can effectively model complex glassy dynamics.
  • The findings suggest new avenues for simulating and understanding memory and rejuvenation in glassy systems.
  • This approach offers a simpler, more accessible model for studying hallmarks of glassy behavior.