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Updated: Jan 7, 2026

Cooling Rate Dependent Ellipsometry Measurements to Determine the Dynamics of Thin Glassy Films
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Numerical Renormalization of Glassy Dynamics.

Johannes Lang1, Subir Sachdev2, Sebastian Diehl1

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|January 2, 2026
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This summary is machine-generated.

Researchers developed a new algorithm to efficiently simulate glassy systems, revealing a phase transition in their dynamics. This breakthrough allows for deeper understanding of complex systems and their nonuniversal critical exponents.

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Area of Science:

  • Condensed Matter Physics
  • Computational Physics

Background:

  • Glassy systems exhibit complex aging dynamics, lacking stationary states and complicating theoretical descriptions.
  • Simulating these systems is computationally intensive due to slow evolution and memory effects.

Purpose of the Study:

  • To develop an efficient algorithm for simulating quench dynamics in glassy systems.
  • To investigate the phase transition between strong and weak ergodicity breaking in the spherical mixed p-spin model.

Main Methods:

  • Developed a novel algorithm using two-dimensional interpolations of Green's functions.
  • Achieved sublinear scaling of computational cost, significantly improving efficiency.
  • Applied the algorithm to the spherical mixed p-spin model.

Main Results:

  • Established the existence of a phase transition at finite initial temperatures.
  • Identified continuously varying, nonuniversal critical exponents for this transition.
  • Simulated dynamics up to 3 orders of magnitude longer than previously possible.

Conclusions:

  • The new algorithm efficiently resolves computational challenges in simulating glassy systems.
  • The findings demonstrate a phase transition with nonuniversal critical behavior in the studied model.
  • The method is broadly applicable to other models with overdamped excitations.