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A model for nonexponential relaxation and aging in dissipative systems.

A Pérez-Madrid1

  • 1Departament de Física Fonamental, Facultat de Física, Universitat de Barcelona, Diagonal 647, 08028 Barcelona, Spain.

The Journal of Chemical Physics
|June 25, 2005
PubMed
Summary

Complex systems exhibit nonexponential relaxation and aging due to diffusion in phase space. A nonconservative force creates an effective temperature, leading to a hierarchy of relaxation times and Vogel-Tammann-Fulcher-like behavior.

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Area of Science:

  • Physics
  • Physical Chemistry
  • Statistical Mechanics

Background:

  • Complex dynamics in dissipative systems often display nonexponential relaxation and aging.
  • Understanding these phenomena is crucial for various fields, including condensed matter physics and materials science.

Purpose of the Study:

  • To analyze nonexponential relaxation and aging in dissipative systems.
  • To investigate the role of nonconservative forces and effective temperature in complex dynamics.

Main Methods:

  • A model of diffusion in phase space was employed.
  • The analysis incorporated a nonconservative force to drive the system away from equilibrium.
  • A generalized fluctuation-dissipation theorem was utilized.

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Main Results:

  • The nonconservative force induces a heat flow, preventing the system from reaching equilibrium.
  • An effective temperature field characterizes the stationary nonequilibrium state.
  • This nonequilibrium temperature results in a hierarchy of relaxation times, explaining aging phenomena.

Conclusions:

  • The study provides a theoretical framework for understanding nonexponential relaxation and aging in complex dissipative systems.
  • The concept of an effective temperature field is key to describing systems maintained out of equilibrium.
  • The findings establish a connection to the Vogel-Fulcher-Tammann law, offering insights into relaxation dynamics.