Random field Ising model on networks with inhomogeneous connections

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dc.creatorLee, Sang Hoon
dc.creatorJeong, Hawoong
dc.creatorNoh, Jae Dong
dc.date2006-06-07
dc.date2006-09-18
dc.date.accessioned2026-07-07T07:12:30Z
dc.date.available2026-07-07T07:12:30Z
dc.descriptionWe study a zero-temperature phase transition in the random field Ising model on scale-free networks with the degree exponent $γ$. Using an analytic mean-field theory, we find that the spins are always in the ordered phase for $γ<3$. On the other hand, the spins undergo a phase transition from an ordered phase to a disordered phase as the dispersion of the random fields increases for $γ> 3$. The phase transition may be either continuous or discontinuous depending on the shape of the random field distribution. We derive the condition for the nature of the phase transition. Numerical simulations are performed to confirm the results.
dc.description7 pages, 7 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0606179
dc.identifierhttp://arxiv.org/abs/cond-mat/0606179
dc.identifierPhys. Rev. E 74, 031118 (2006)
dc.identifierdoi:10.1103/PhysRevE.74.031118
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/112096
dc.subjectStatistical Mechanics
dc.subjectDisordered Systems and Neural Networks
dc.titleRandom field Ising model on networks with inhomogeneous connections
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