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Self-interaction and slow dynamics.

Toyonori Munakata1, Masayuki Uranagase

  • 1Department of Applied Mathematics and Physics, Graduate School of Informatics, Kyoto University, Kyoto 606-8501, Japan. munakata@amp.i.kyoto-u.ac.jp

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|March 21, 2008
PubMed
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This study introduces a spin system with self-interaction, revealing slow relaxation and a phase diagram. Relaxation time diverges at low temperatures, impacting dynamical properties.

Area of Science:

  • Condensed matter physics
  • Statistical mechanics

Background:

  • Mean field models are used to study interacting spin systems.
  • Self-interaction in spin systems can introduce unique dynamical behaviors.

Purpose of the Study:

  • To propose and investigate a simple spin system with self-interaction.
  • To analyze the impact of self-interaction on relaxation dynamics and phase transitions.
  • To explore the thermodynamic limit and finite system dynamics.

Main Methods:

  • Mean field theory for spin interactions.
  • Exact calculation of spin-spin time correlation function (TCF) in the thermodynamic limit.
  • Numerical solution of a master equation for finite systems.

Main Results:

Related Experiment Videos

  • Self-interaction acts as activation energy, causing slow relaxation due to disorder.
  • A phase diagram is obtained in the thermodynamic limit.
  • Relaxation time diverges at low temperatures.
  • Finite system dynamics show relaxation of the TCF.

Conclusions:

  • The proposed spin system exhibits slow relaxation and temperature-dependent dynamics.
  • Self-interaction is crucial for understanding the system's behavior, particularly at low temperatures.
  • The study provides insights into the interplay between disorder, self-interaction, and relaxation in spin systems.