1203.5823 (Kwabena Doku-Amponsah)

Ising Models on Static Inhomogeneous Random graphs    [PDF]

Kwabena Doku-Amponsah

On a finite inhomogeneous graph model for complex network, we define the Ising model, which is a paradigm model in statistical mechanics. For the ferromagnetic Ising model,we calculate the Thermodynamic limit of pressure per particle. From our results, we compute other physical quantities such as the magnetization and susceptibility, and investigate the critical behaviour of this model. Our calculations use large deviation principles (developed recently) for suitably defined empirical neighbourhood measures on inhomogeneous random graph.

View original: http://arxiv.org/abs/1203.5823