title: No-passing rule in the ground state evolution of the random-field Ising model.
abstract: We exactly prove the no-passing rule in the ground state evolution of the random-field Ising model with monotonically varying external field. In particular, we show that the application of the no-passing rule can speed up the calculation of the zero-temperature equilibrium M(H) curve dramatically.
authors.affiliation: Department of Physics, University of Illinois at Urbana-Champaign, 1110 West Green Street, Urbana, Illinois 61801, USA.
authors.forename: Yang
authors.initials: Y
authors.lastname: Liu
authors.forename: Karin A
authors.initials: KA
authors.lastname: Dahmen