5 papers
Quantum Navier-Stokes equations for electrons in graphene
Luigi Barletti, Lucio Demeio, Sara Nicoletti
The Chapman-Enskog method, in combination with the quantum maximum entropy principle, is applied to the Wigner equation in order to obtain quantum Navier-Stokes equations for elect…
Dynamical systems on Hypergraphs
Timoteo Carletti, Duccio Fanelli, Sara Nicoletti
Networks are a widely used and efficient paradigm to model real-world systems where basic units interact pairwise. Many body interactions are often at play, and cannot be modelled…
Generating directed networks with prescribed Laplacian spectra
Sara Nicoletti, Timoteo Carletti, Duccio Fanelli +2
Complex real-world phenomena are often modeled as dynamical systems on networks. In many cases of interest, the spectrum of the underlying graph Laplacian sets the system stability…
Resilience for stochastic systems interacting via a quasi-degenerate network
Sara Nicoletti, Duccio Fanelli, Niccolò Zagli +6
A stochastic reaction-diffusion model is studied on a networked support. In each patch of the network two species are assumed to interact following a non-normal reaction scheme. Wh…
Non normal amplification of stochastic quasi-cycles
Sara Nicoletti, Niccolò Zagli, Duccio Fanelli +3
Stochastic quasi-cycles for a two species model of the excitatory-inhibitory type, arranged on a triangular loop, are studied. By increasing the strength of the inter-nodes couplin…