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Waiting time dependence of aging.

Takashi Odagaki1,2

  • 1Kyushu University, Fukuoka 819-0395, Japan.

Journal of Physics. Condensed Matter : an Institute of Physics Journal
|January 19, 2023
PubMed
Summary
This summary is machine-generated.

This study explores aging in non-equilibrium systems, specifically a 3D random walk. It demonstrates Type II aging, where relaxation time depends on temperature change protocols, and shows how to deduce landscape relaxation times.

Keywords:
agingfree energy landscapeinstantaneous relaxation timenon-equilibrium systemwaiting time dependence

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Area of Science:

  • Physics
  • Statistical Mechanics
  • Complex Systems

Background:

  • Aging phenomena are observed in non-equilibrium systems like polymers and glasses.
  • Physical properties in these systems depend on waiting time and temperature changes.
  • Aging is classified into Type I (relaxation time always increases with waiting time) and Type II (relaxation time depends on temperature change protocol).

Purpose of the Study:

  • Investigate aging in a three-dimensional random walk model.
  • Analyze the impact of a delayed response in the free energy landscape to temperature changes.
  • Characterize the type of aging exhibited by this random walk model.

Main Methods:

  • Modeling a random walk in three dimensions.
  • Introducing a delayed response of the free energy landscape to temperature variations.
  • Analyzing the intermediate scattering function and instantaneous relaxation time.

Main Results:

  • The random walk model exhibits Type II aging.
  • The intermediate scattering function demonstrates this Type II aging behavior.
  • The waiting time dependence of instantaneous relaxation time allows deduction of the free energy landscape's relaxation time.

Conclusions:

  • The investigated random walk model serves as a relevant system for studying Type II aging.
  • Understanding the delayed response of free energy landscapes is crucial for characterizing aging in non-equilibrium systems.
  • This work provides a method to quantify the relaxation time of the free energy landscape.