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Related Experiment Videos

Persistence and the random bond Ising model in two dimensions.

S Jain1, H Flynn

  • 1Information Engineering, The Neural Computing Research Group, School of Engineering and Applied Science, Aston University, Birmingham B4 7ET, United Kingdom.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|April 12, 2006
PubMed
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This study investigates zero-temperature persistence in the random bond +/-J Ising model, revealing "blocking" behavior and a nonmonotonic spin flip fraction. Results align with mixed-phase behavior in spin glass transitions.

Area of Science:

  • Statistical physics
  • Condensed matter physics

Background:

  • The random bond +/-J Ising model is a key model for studying disordered magnetic systems.
  • Understanding zero-temperature phase transitions is crucial for condensed matter physics.

Purpose of the Study:

  • To investigate the zero-temperature persistence phenomenon in the +/-J Ising model on a square lattice.
  • To characterize the behavior of spin flips and identify the onset of the spin glass transition.

Main Methods:

  • Extensive numerical simulations were employed.
  • Analysis focused on the fraction of spins that never flip and residual persistence decay.

Main Results:

  • Strong evidence for "blocking" was found, irrespective of disorder.

Related Experiment Videos

  • A nonmonotonic, double-humped behavior in the non-flipping spin fraction was observed.
  • Algebraic decay of residual persistence with an exponent theta(p) ≈ 0.9 was determined.
  • Conclusions:

    • The observed phenomena are consistent with "mixed" behavior, featuring both finite and infinite spin flips.
    • The study confirms previous findings for infinite systems regarding the model's phase behavior.