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Murine Isolated Heart Model of Myocardial Stunning Associated with Cardioplegic Arrest
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Published on: August 6, 2015

Minimal model for kinetic arrest.

P Pal1, C S O'Hern, J Blawzdziewicz

  • 1Department of Mechanical Engineering, Yale University, New Haven, Connecticut 06520-8286, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 4, 2008
PubMed
Summary
This summary is machine-generated.

We introduce a figure-8 model to study slow dynamics in glassy materials. Long-time diffusion depends on rare particle rearrangements, not just transition state volumes.

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Area of Science:

  • Physics
  • Materials Science
  • Statistical Mechanics

Background:

  • Glassy materials exhibit slow dynamics and kinetic arrest.
  • Understanding particle rearrangements is key to explaining cage-breaking dynamics.

Purpose of the Study:

  • To elucidate slow dynamics in glassy materials using a novel model.
  • To investigate the factors controlling long-time diffusion and structural relaxation.

Main Methods:

  • Introduction of the figure-8 model with N hard blocks undergoing Brownian motion.
  • Analysis of kinetic arrest at a critical packing fraction (phi_g).
  • Examination of long-time diffusion controlled by "junction-crossing" particle rearrangements.

Main Results:

  • The system exhibits kinetic arrest at phi_g < 1.
  • Long-time diffusion near phi_g is governed by rare, cooperative particle rearrangements.
  • The time between junction crossings (tau_JC) depends on both transition state volume and crossing time.

Conclusions:

  • The figure-8 model provides insights into slow dynamics in glasses.
  • Structural relaxation time is influenced by more than just configurational volume.
  • Results highlight the importance of cage-breaking dynamics in glassy systems.