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Lecture

LCN2 Seminar: Spectral signature of breaking of ensemble equivalence for random network models

Date
Friday 25 June 2021
Time
Location
Kaltura Live Room

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46th LCN2 seminar

Speaker: Pierfrancesco Dionigi

Title: Spectral signature of breaking of ensemble equivalence for random network models

Abstract: 

In Statistical Mechanics a standard assumption is that the description of the model under study doesn’t change whether we use canonical or microcanonical ensemble in the thermodynamic limit. This core assumption fails for certain systems. This phenomenon, called Breaking of Ensemble Equivalence (BEE), is known to happen for certain random network models and could be studied with the use of different equivalent approaches. Our goal is to find functions of the network (macrostates) whose asymptotic behavior shows detectable differences under the two different ensembles when BEE occurs. We will discuss how certain spectral properties of networks seem to be the right candidates in order to detect BEE.

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