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Aging is a log-Poisson process, not a renewal process.

Stefan Boettcher1, Dominic M Robe1, Paolo Sibani2

  • 1Department of Physics, Emory University, Atlanta, Georgia 30322, USA.

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Aging in disordered materials is explained by a new "record dynamics" model, not continuous-time random walk. This model captures the log-Poisson statistics observed in jammed matter, offering a universal explanation for aging phenomena.

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Area of Science:

  • Physics of disordered materials
  • Soft matter physics
  • Statistical mechanics

Background:

  • Aging is a common phenomenon in disordered materials, occurring after a rapid quench from a fluid to a jammed state.
  • Current models like continuous-time random walk (CTRW) struggle to explain observed aging data statistics.
  • The log-Poisson statistic is observed in systems like jammed colloids and disordered magnets.

Purpose of the Study:

  • To propose a new, physically motivated model for aging dynamics in disordered materials.
  • To contrast the proposed model with existing continuous-time random walk (CTRW) approaches.
  • To explain the prevalence of log-Poisson statistics in aging phenomena.

Main Methods:

  • Development of a renewal process model based on "record dynamics" and "quakes".
  • Comparison of the proposed model's predictions with experimental data exhibiting log-Poisson statistics.
  • Theoretical analysis of free-energy landscapes in disordered systems.

Main Results:

  • The proposed "record dynamics" model successfully explains the log-Poisson statistics observed in aging data.
  • Continuous-time random walk (CTRW) models are shown to be irreconcilable with these statistics.
  • The model is grounded in generic features of free-energy landscapes of disordered systems.

Conclusions:

  • Aging dynamics in disordered materials can be universally described by a record dynamics model.
  • This new model provides a more accurate framework than CTRW for understanding aging phenomena.
  • The findings offer insights into the fundamental physics governing the behavior of jammed matter.