Hysteresis in Anti-Ferromagnetic Random-Field Ising Model at Zero Temperature

Abstract

We study hysteresis in anti-ferromagnetic random-field Ising model at zero temperature. The external field is cycled adiabatically between -$\infty$ and $\infty$. Two different distributions of the random-field are considered, (i) a uniform distribution of width $2\Delta$ centered at the origin, and (ii) a Gaussian distribution with average value zero and standard deviation $\sigma$. In each case the hysteresis loop is determined exactly in one dimension and compared with numerical simulations of the model.

References in corpus (3)

• Glassy dynamics of kinetically constrained models
• The magnetization-driven random field Ising model at T=0
• Hysteresis behavior of the random-field Ising model with 2-spin-flip dynamics: Exact results on a Bethe lattice