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Non-Markovian Methods in Glass Transition.

Constantino Torregrosa Cabanilles1, José Molina-Mateo1, Roser Sabater I Serra1,2

  • 1Center for Biomaterials and Tissue Engineering, Universitat Politècnica de València, 46022 València, Spain.

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|September 5, 2020
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Summary

This study presents a new model for understanding the glass transition in polymers and other materials. The model uses non-Markovian dynamics simulations to reproduce key features of glassy dynamics with minimal computational resources.

Keywords:
dynamic heterogeneityglass transitionnon-Markovian methodspotential energy landscape

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Area of Science:

  • Condensed matter physics
  • Materials science
  • Statistical mechanics

Background:

  • The glass transition is a complex phenomenon in amorphous materials.
  • Understanding dynamic heterogeneity is crucial for explaining glassy behavior.
  • Current models often require significant computational resources.

Purpose of the Study:

  • To provide a model for the heterogeneity of local dynamics in glass-forming materials.
  • To reproduce fundamental characteristics of the glass transition phenomenology.
  • To offer insights into complex dynamics using minimal computational resources.

Main Methods:

  • Simulating a condensed matter open cluster with a heterogeneous environment.
  • Employing non-Markovian dynamics simulations.
  • Analyzing non-exponential structural relaxations and off-equilibrium glassy dynamics.

Main Results:

  • The model successfully reproduces general glass transition features.
  • Key characteristics include non-exponential relaxations and temperature-dependent slowing down.
  • Off-equilibrium glassy dynamics are accurately simulated.

Conclusions:

  • Non-Markovian models are effective for studying glass transition dynamics.
  • These models provide insights into dynamic heterogeneity and correlation lengths.
  • The approach offers a computationally efficient method for exploring complex glassy systems.