M O Hase and J F F Mendes 2008 J. Phys. A: Math. Theor. 41 145002 doi:10.1088/1751-8113/41/14/145002
M O Hase and J F F Mendes
Show affiliationsThe 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 examining the static properties of the quenched version (in respect of the random antiferromagnetic interactions) of the model, the persistence of the magnetization is also analysed in the annealed approximation, and the difference in the results are discussed.
75.60.Ej Magnetization curves, hysteresis, Barkhausen and related effects
75.30.Kz Magnetic phase boundaries (including magnetic transitions, metamagnetism, etc.)
82D30 Random media, disordered materials (including liquid crystals and spin glasses)
82B30 Statistical thermodynamics (See also 80-XX)
82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs
Issue 14 (11 April 2008)
Received 19 November 2007, in final form 27 February 2008
Published 26 March 2008
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