  We analyse hysteresis in a one-dimensional anti-ferromagnetic random field
Ising model at zero-temperature. The random field is taken to have a
rectangular distribution of width $2 \Delta$ centered about the origin. A
uniform applied field is varied slowly from $-\infty$ to $+\infty$ and back.
Analytic expression for the hysteresis loop is obtained in the case $\Delta \le
|J|$, where $|J|$ is the strength of the nearest neighbor interaction.
