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Updated: Jan 7, 2026
09:32
Cooling Rate Dependent Ellipsometry Measurements to Determine the Dynamics of Thin Glassy Films
Published on: January 26, 2016
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Numerical Renormalization of Glassy Dynamics.
Johannes Lang1, Subir Sachdev2, Sebastian Diehl1
1Institut für Theoretische Physik, Universität zu Köln, Zülpicher Straße 77, 50937 Cologne, Germany.
Physical Review Letters
|January 2, 2026
Summary
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.
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.
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