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Related Experiment Videos

Hysteresis in the random-field Ising model and bootstrap percolation.

Sanjib Sabhapandit1, Deepak Dhar, Prabodh Shukla

  • 1Department of Theoretical Physics, Tata Institute of Fundamental Research, Mumbai-400005, India.

Physical Review Letters
|May 15, 2002
PubMed
Summary

This study explores hysteresis in the random-field Ising model, revealing how characteristic lengths and coercive fields change with disorder. Results show distinct scaling behaviors in 2D and 3D systems.

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Area of Science:

  • Condensed matter physics
  • Statistical mechanics
  • Disordered systems

Background:

  • Hysteresis is a key phenomenon in magnetic systems.
  • The random-field Ising model (RFIM) is a fundamental model for studying disordered magnetic materials.
  • Understanding the influence of quenched disorder on magnetic properties is crucial.

Purpose of the Study:

  • To investigate hysteresis in the RFIM with asymmetric quenched fields.
  • To analyze the behavior in the low disorder limit in 2D and 3D.
  • To determine the scaling of characteristic lengths and coercive fields.

Main Methods:

  • Relating spin flip dynamics to bootstrap percolation.
  • Analyzing the RFIM in the low disorder limit.
  • Deriving analytical expressions for characteristic lengths and coercive fields.

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Main Results:

  • Characteristic length for self-averaging exhibits exponential-of-exponential scaling in 2D and 3D.
  • Coercive field shows logarithmic corrections dependent on system size and lattice dimensionality.
  • For lattices with coordination number 3, coercive field tends to J and magnetization shows no jump.

Conclusions:

  • The study provides detailed insights into hysteresis in disordered magnetic systems.
  • Scaling behaviors of characteristic lengths and coercive fields are established for 2D and 3D RFIM.
  • The findings contribute to the understanding of phase transitions and critical phenomena in disordered materials.