Random field Ising model on networks with inhomogeneous connections

Sang Hoon Lee, Hawoong Jeong, Jae Dong Noh

Research output: Contribution to journalArticlepeer-review

10 Scopus citations


We study a zero-temperature phase transition in the random field Ising model on scale-free networks with the degree exponent Î. Using an analytic mean-field theory, we find that the spins are always in the ordered phase for Î<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 Î >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.

Original languageEnglish
Article number031118
JournalPhysical Review E
Issue number3
StatePublished - 2006


Dive into the research topics of 'Random field Ising model on networks with inhomogeneous connections'. Together they form a unique fingerprint.

Cite this