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Phys. Rev. E 76, 031106 (2007) [6 pages]

No-passing rule in the ground state evolution of the random-field Ising model

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Yang Liu and Karin A. Dahmen
Department of Physics, University of Illinois at Urbana-Champaign, 1110 West Green Street, Urbana, Illinois 61801, USA

Received 1 May 2007; published 7 September 2007

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.

© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.76.031106
DOI:
10.1103/PhysRevE.76.031106
PACS:
05.50.+q, 75.10.Nr, 64.60.Fr, 75.60.Ej