  Zero-temperature random coercivity Ising model with antiferromagnetic-like
interactions is used to study closure of minor hysteresis loops and wiping-out
property (Return Point Memory) in hysteretic behavior. Numerical simulations in
two dimensions as well as mean-field modeling show a critical phenomenon in the
hysteretic behavior associated with the loss of minor loop closure and the
onset of reptations. Power law scaling of the extent of minor loop reptations
is observed.
