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Glassy slowdown and replica-symmetry-breaking instantons.

Allan Adams1, Tarek Anous1, Jaehoon Lee1

  • 1Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|April 15, 2015
PubMed
Summary

Glass-forming liquids slow down due to large structural rearrangements. Replica theory shows replica-symmetry-breaking instantons dominate, revealing insights into glassy dynamics and correlations.

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Area of Science:

  • Condensed matter physics
  • Statistical mechanics
  • Materials science

Background:

  • Glass-forming liquids exhibit temperature-dependent dynamical slowdown.
  • Relaxation involves cooperative structural rearrangements of increasing size upon cooling.
  • These dynamics are theoretically modeled using replica effective field theory.

Purpose of the Study:

  • To investigate the role of instantons in modeling glassy dynamics.
  • To determine the prevalence of replica-symmetry-breaking instantons across different free-energy landscape statistics.
  • To connect instanton structure to point-to-set correlations and liquid behavior.

Main Methods:

  • Utilizing replica effective field theory to model cooperative rearrangements.
  • Analyzing instanton solutions within the theory.
  • Varying parameters of the effective theory to explore different landscape statistics.

Main Results:

  • Replica-symmetry-breaking instantons were found to dominate for a wide range of parameters.
  • The size of the dominant instanton correlates with the liquid's point-to-set correlation length.
  • Instanton structure offers detailed insights into point-to-set correlations.

Conclusions:

  • Replica-symmetry-breaking instantons are crucial for understanding glassy dynamics.
  • The detailed structure of instantons provides a powerful tool for analyzing liquid behavior.
  • This approach links microscopic correlations to macroscopic dynamical slowdown.