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How do glassy domains grow?

Saroj Kumar Nandi1, Sriram Ramaswamy

  • 1Centre for Condensed Matter Theory, Department of Physics, Indian Institute of Science, Bangalore-560 012, India. snandi@physics.iisc.ernet.in

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We developed equations for structural glass growth kinetics using mode-coupling theory. Our findings explain glass aging dynamics, showing it

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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Statistical Mechanics

Background:

  • Structural glasses exhibit complex aging dynamics.
  • Mode-coupling theory (MCT) provides a framework for understanding glass transitions.
  • Previous numerical studies observed specific coarsening behaviors in glasses.

Purpose of the Study:

  • To construct theoretical equations for structural glass growth kinetics.
  • To investigate the aging properties of glasses using a nonstationary three-density correlator.
  • To provide a theoretical basis for observed numerical results in glass aging.

Main Methods:

  • Developed equations for growth kinetics within MCT.
  • Employed a nonstationary variant of the three-density correlator.
  • Solved a schematic form of the equations to analyze the three-point correlator χ(3)(t,t(w)).

Main Results:

  • Derived equations for glass growth kinetics.
  • Obtained the coarsening of the three-point correlator χ(3)(t,t(w)) as a function of waiting time t(w).
  • Found that χ(3) peaks at t-t(w)∼t(w)(0.8) with a value of ∼t(w)(0.5) for a quench into the glass.

Conclusions:

  • The theoretical results provide a basis for numerical observations of glass aging.
  • The observed aging behavior is complex and cannot be explained by simple evolving effective temperature.