Blume–Emery–Griffiths model on random graphs

The Blume-Emery-Griffiths model with a random crystal field is studied in graph architecture, which the average connectivity controllable parameter. disordered over realizations treated by replica symmetry formalism of order parameter functions. A self-consistent equation for distribution local fields derived and numerically solved population dynamics algorithm. results show that amounts to changes topology phase diagrams. Phase diagrams representative values parameters are compared those obtained fully connected mean renormalization group approaches.