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Efficient Algorithm for Finding Ground-States in the Random Field Ising Model with an External Field

✍ Scribed by Carlos Frontera; Jürgen Goicoechea; Jordi Ortı́n; Eduard Vives

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
68 KB
Volume
160
Category
Article
ISSN
0021-9991

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✦ Synopsis

We present an efficient algorithm that, combined with a max-flow, min-cut minimization algorithm, makes it possible to find the ground states of the Gaussian Random Field Ising model when the external applied field B is continuously varied from -∞ to +∞. The algorithm exactly finds all the possible ground states and their limiting range (B min , B max ). Examples of the dependence of the magnetization and energy with B are shown for the 2d-RFIM.

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