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Long-range correlations in glasses and glassy fluids.

Elijah Flenner1, Grzegorz Szamel

  • 1Department of Chemistry, Colorado State University, Fort Collins, CO 80523,USA.

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|April 30, 2015
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Summary

A non-decaying self-intermediate scattering function suggests long-range density fluctuations. Computer simulations of glasses and supercooled fluids reveal signatures of this divergence and large-scale transient correlations.

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Area of Science:

  • Condensed Matter Physics
  • Statistical Mechanics
  • Computational Materials Science

Background:

  • The self-intermediate scattering function (f_s(q, t)) is crucial for understanding dynamics in liquids and glasses.
  • A non-decaying component of f_s(q, t) suggests the presence of long-range correlations.

Purpose of the Study:

  • To investigate the implications of a non-decaying self-intermediate scattering function.
  • To establish a link between this function and the four-point structure factor.
  • To identify observable signatures in simulations.

Main Methods:

  • Theoretical analysis relating the self-intermediate scattering function to the four-point structure factor.
  • Analysis of computer simulations of glass and supercooled fluid dynamics.

Main Results:

  • The existence of a non-decaying f_s(q, t) implies a small wave-vector divergence in the four-point structure factor.
  • This divergence signifies long-range correlations in density fluctuations.
  • Transient dynamic correlations with large correlation lengths, exceeding those of dynamic heterogeneities, are observed in supercooled fluids.

Conclusions:

  • The study provides a theoretical framework and simulation evidence for long-range correlations in dense systems.
  • Observable signatures of these correlations can be detected in computer simulations, offering insights into glass and supercooled fluid dynamics.