Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2007-11-19
J. Phys. A: Math. Theor. 41 (2008) 145002
Physics
Condensed Matter
Disordered Systems and Neural Networks
Scientific paper
10.1088/1751-8113/41/14/145002
The question of robustness of a network under random ``attacks'' is treated in the framework of critical phenomena. The persistence of spontaneous magnetization of a ferromagnetic system to the random inclusion of antiferromagnetic interactions is investigated. After examing the static properties of the quenched version (in respect to the random antiferromagnetic interactions) of the model, the persistence of the magnetization is analysed also in the annealed approximation, and the difference in the results are discussed.
Hase M. O.
Mendes Jose Fernando F.
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