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Continuous High-resolution Microscopic Observation of Replicative Aging in Budding Yeast

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Finite-size effects and intermittency in a simple aging system.

Estelle Pitard¹

¹Laboratoire des Verres (CNRS-UMR no 5587), CC69, Université Montpellier 2, France.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|May 21, 2005

Summary

This study analyzes aging systems, revealing how intermittent dynamics and correlation functions change over time. An effective number of subsystems emerges, impacting system behavior and mimicking glassy systems.

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Area of Science:

Statistical mechanics
Complex systems

Background:

Aging systems exhibit intermittent dynamics and fluctuations in their correlation functions.
Understanding these dynamics is crucial for characterizing complex systems like glassy materials.

Purpose of the Study:

To analytically study the intermittent dynamics and correlation function fluctuations in a simple aging system.
To characterize the distribution of trapping times and time intervals between large decorrelations.
To develop a phenomenological model that captures the behavior of glassy systems.

Main Methods:

Dividing the system into independent aging subsystems based on size and coherence length.
Analytical computation of trapping time distributions and probability distribution functions.
Defining and analyzing effective number of subsystems and coherence length over time.

Main Results:

The distribution of trapping times can be power-law, stretched-exponential, or exponential.
An effective number of subsystems N(eff)(t(w)) decreases with age t(w).
Probability distributions of time intervals between decorrelations and the two-time correlator exhibit power-law behaviors.

Conclusions:

The aging system's behavior can be phenomenologically modeled by replacing the subsystem count with an effective number.
This model reproduces qualitative behaviors observed in experiments and simulations of glassy systems.
The findings offer insights into the complex dynamics of aging and glassy materials.