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We study the hysteretic evolution of the random field Ising model (RFIM) atT=0 when the magnetization M is controlled externally and the magnetic field Hbecomes the output variable. The dynamics is a simple modification of thesingle-spin-flip dynamics used in the H-driven situation and consists inflipping successively the spins with the largest local field. This allows toperform a detailed comparison between the microscopic trajectories followed bythe system with the two protocols. Simulations are performed on random graphswith connectivity z=4 (Bethe lattice) and on the 3-D cubic lattice. The sameinternal energy U(M)is found with the two protocols when there is nomacroscopic avalanche and it does not depend on whether the microscopic statesare stable or not. On the Bethe lattice, the energy inside the macroscopicavalanche also coincides with the one that is computed analytically with theH-driven algorithm along the unstable branch of the hysteresis loop. The outputfield, defined here as dU/dM, exhibits very large fluctuations with themagnetization and is not self-averaging. Relation to the experimental situationis discussed.Comment: 11 pages, 13 figure

physical review. b, condensed matter and materials physics

Magnetization-driven random-field Ising model at<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>T</mml:mi><mml:mo>=</mml:mo><mml:mn>0</mml:mn></mml:mrow></mml:math>

Magnetization-driven random-field Ising model atT=0