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The demagnetization curve, or initial magnetization curve, is studied byexamining the embedded Barkhausen noise using the non-equilibrium, zerotemperature random-field Ising model. The demagnetization curve is found toreflect the critical point seen as the system's disorder is changed. Criticalscaling is found for avalanche sizes and the size and number of spanningavalanches. The critical exponents are derived from those related to thesaturation loop and subloops. Finally, the behavior in the presence of longrange demagnetizing fields is discussed. Results are presented for simulationsof up to one million spins.Comment: 4 pages, 4 figures, submitted to Physical Review Letter

Barkhausen noise and critical scaling in the demagnetization curve