No-passing Rule in the Ground State Evolution of the Random-Field Ising Model

Details No-passing Rule in the Ground State Evolution of the Random-Field Ising Model No-passing Rule in the Ground State Evolution of the Random-Field Ising Model

2007-05-01

arxiv.org/abs/0705.0186v1

Phys. Rev. E 76, 031106 (2007)

Physics

Condensed Matter

Statistical Mechanics

7 pages, 4 figures

Scientific paper

10.1103/PhysRevE.76.031106

We exactly prove the no-passing rule in the ground state evolution of the
random-field Ising model (RFIM) 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.

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