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Random field Ising model on networks with inhomogeneous connections | | Sang Hoon Lee
; Hawoong Jeong
; Jae Dong Noh
; | | Date: |
7 Jun 2006 | | Subject: | Statistical Mechanics; Disordered Systems and Neural Networks | | Abstract: | We study a zero-temperature phase transition in the random field Ising model on scale-free networks with the degree exponent $gamma$. Using an analytic mean field theory, we find that the spins are always in the ordered phase for $gamma<3$. 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 $gamma > 3$. 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. We also discuss an implication of this study on an opinion dynamics in social systems. | | Source: | arXiv, cond-mat/0606179 | | Other source: | [GID 422284] pmid17025605 | | Services: | Forum | Review | PDF | Favorites | |
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