Continuous vs Discontinuous phase transitions on heterogeneous random graphs

by Dr Daniele de Martino

Tuesday 25 Jan 2011, 16:00 → 18:00 Europe/Rome

Aula Careri (Dipartimento di Fisica - Ed. G. Marconi)

The transition point of both the Ising model and epidemic spreading processes on heterogeneous random graphs scales with the degree fluctuations, i.e. with \frac{}{}. The scaling behavior can change for discontinuous transitions, being related in this case to the body of the degree distribution. This difference causes non-trivial behaviors in tri-critical model systems. I will show it within the framework of the queuing network theory and of the Blume-Capel (tri-critical) Ising model.