TY - ELEC
AU - Cristian Giardina
PY - 2019
TI - Quenched and annealed Ising models on random graphs
LA - eng
M3 - Moving Image
AB - The ferromagnetic Ising model is a paradigmatic model of statistical
physics used to study phase transitions in lattice systems. In this talk I shall consider
the setting where the regular spatial structure is replaced by a random graph, which
is often used to model complex networks. I shall treat both the case where the graph
is essentially frozen (quenched setting) and the case where instead it is rapidly
changing (annealed setting). I shall prove that quenched and annealed may have different critical temperatures, provided the graph has sufficient inhomogeneity.
I shall also discuss how universal results (law of large numbers, central limit theorems, critical exponents) are affected by the disorder in the spatial structure. The picture that I will present emerges from several joint works, involving V.H. Can, S. Dommers, C. Giberti, R.van der Hofstad and M.L.Prioriello.
N2 - The ferromagnetic Ising model is a paradigmatic model of statistical
physics used to study phase transitions in lattice systems. In this talk I shall consider
the setting where the regular spatial structure is replaced by a random graph, which
is often used to model complex networks. I shall treat both the case where the graph
is essentially frozen (quenched setting) and the case where instead it is rapidly
changing (annealed setting). I shall prove that quenched and annealed may have different critical temperatures, provided the graph has sufficient inhomogeneity.
I shall also discuss how universal results (law of large numbers, central limit theorems, critical exponents) are affected by the disorder in the spatial structure. The picture that I will present emerges from several joint works, involving V.H. Can, S. Dommers, C. Giberti, R.van der Hofstad and M.L.Prioriello.
UR - https://open.library.ubc.ca/collections/48630/items/1.0385515
ER - End of Reference