We study hysteresis in antiferromagnetic 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.

• Received 4 April 2011

DOI:https://doi.org/10.1103/PhysRevE.83.061136