61 research outputs found
Critical hysteresis on dilute triangular lattice
Critical hysteresis in the zero-temperature random-field Ising model on a
two-dimensional triangular lattice has been studied earlier with site dilution
on one sublattice. It was reported that criticality vanishes if less than one
third of the sublattice is occupied. This appears at variance with recently
obtained exact solutions of the model on dilute Bethe lattices and prompts us
to revisit the problem using an alternate numerical method. Contrary to our
speculation that criticality may not be exactly zero below one third dilution,
the present study indicates it is nearly zero if approximately less than
two-thirds of the sublattice is occupied. This suggests that hysteresis on
dilute periodic lattices is qualitatively different from that on dilute Bethe
lattices. Possible reasons are discussed briefly.Comment: Replaced with published version (11 pages, 8 figures
Exact Expressions for Minor Hysteresis Loops in the Random Field Ising Model on a Bethe Lattice at Zero Temperature
We obtain exact expressions for the minor hysteresis loops in the
ferromagnetic random field Ising model on a Bethe lattice at zero temperature
in the case when the driving field is cycled infinitely slowly.Comment: Replaced with the published versio
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