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Debye formulas for a relaxing system with memory.

Ivo Klik1, James McHugh2, Roy W Chantrell3

  • 1Department of Physics, National Taiwan University, Taipei, Taiwan.

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Summary
This summary is machine-generated.

This study introduces a novel rate equation with memory, revealing frequency-induced diamagnetism in magnetic systems. This phenomenon, driven by memory effects, offers a potential signature for correlated noise detection.

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Area of Science:

  • Statistical physics
  • Condensed matter physics
  • Magnetism

Background:

  • Rate equations are fundamental in statistical physics.
  • Previous models have not incorporated memory effects.
  • Understanding system dynamics with memory is crucial.

Purpose of the Study:

  • To introduce and analyze an integro-differential rate equation with memory.
  • To investigate the impact of memory on the ac susceptibility of magnetic systems.
  • To explore frequency-induced diamagnetism as a potential experimental signature.

Main Methods:

  • Derivation of a modified Debye formula for a single-domain magnetic particle model.
  • Analysis of an integro-differential rate equation incorporating memory time (Θ).
  • Numerical calculations to support theoretical predictions.

Main Results:

  • The in-phase component of ac susceptibility becomes negative at high frequencies (ω).
  • The system exhibits frequency-induced diamagnetism due to memory effects.
  • Ferromagnetic coupling enhances memory effects, while antiferromagnetic coupling suppresses them.

Conclusions:

  • The introduction of memory into rate equations leads to novel phenomena like frequency-induced diamagnetism.
  • Frequency-induced diamagnetism serves as a potential experimental indicator of correlated noise.
  • Memory effects significantly alter magnetic system responses, with coupling type playing a key role.