P. Shukla, EXACT SOLUTION OF ZERO-TEMPERATURE HYSTERESIS IN A FERROMAGNETIC ISING CHAIN WITH QUENCHED RANDOM-FIELDS, Physica. A, 233(1-2), 1996, pp. 235-241
A probabilistic method is used to obtain an exact solution of the zero
-temperature hysteretic dynamics of a one-dimensional Ising model with
quenched random fields. The result is discussed in the context of the
Barkhausen noise observed in experiments as well as numerical simulat
ions.