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Magnetic reversal time in open long-range systems.

F Borgonovi1, G L Celardo, B Goncalves

  • 1Dipartimento di Matematica e Fisica, Università Cattolica, via Musei 41, Brescia, Italy.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
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Summary
This summary is machine-generated.

Topological phase space disconnection in spin systems leads to power-law magnetic reversal times. This phenomenon, crucial for ferromagnetism, is analyzed across temperatures using canonical formalism.

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Area of Science:

  • Condensed Matter Physics
  • Statistical Mechanics
  • Quantum Magnetism

Background:

  • Topological phase space disconnection is a recently identified phenomenon in many-body spin systems with anisotropic interactions.
  • Understanding magnetic reversal times is crucial for comprehending phenomena like ferromagnetism in finite systems.

Purpose of the Study:

  • To demonstrate the generic nature of power-law divergence in magnetic reversal time at the energy disconnection threshold for long-range interacting systems.
  • To investigate the influence of a thermal bath on magnetic reversal times at any temperature.
  • To establish a microscopic framework for the emergence of ferromagnetism in finite magnetic systems.

Main Methods:

  • Analysis of magnetic reversal time divergence using canonical formalism.
  • Application of saddle-point approximation to study systems at finite temperatures.
  • Investigation of long-range interacting spin systems with anisotropic interactions.

Main Results:

  • A power-law divergence of magnetic reversal time, with an exponent proportional to the number of particles, is shown to be generic for long-range interacting systems at the energy disconnection threshold.
  • Magnetic reversal times at any temperature were analyzed, revealing a simple exponential dependence on inverse temperature near the disconnection threshold.
  • The study provides a general framework for understanding ferromagnetism emergence from microscopic models without phenomenological barriers.

Conclusions:

  • Topological phase space disconnection is a fundamental phenomenon governing magnetic reversal dynamics in many-body spin systems.
  • The energy disconnection threshold plays a critical role in the emergence of ferromagnetism in finite magnetic systems, even at finite temperatures.
  • This work offers a new perspective on ferromagnetism, bridging microscopic models with macroscopic observations.