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math.PR2024
Heat flow in a periodically forced, unpinned thermostatted chain
Tomasz Komorowski, Stefano Olla, Marielle Simon
We prove the hydrodynamic limit for a one-dimensional harmonic chain of interacting atoms with a random flip of the momentum sign. The system is open: at the left boundary it is at…
math.PR2024
Microscopic derivation of non-local models with anomalous diffusions from stochastic particle systems
Christian Olivera, Marielle Simon
This paper considers a large class of nonlinear integro-differential scalar equations which involve an anomalous diffusion (e.g. driven by a fractional Laplacian) and a non-local s…
math.PR2024
Hydrodynamic limit for an open facilitated exclusion process with slow and fast boundaries
Hugo Da Cunha, Clément Erignoux, Marielle Simon
We study the symmetric facilitated exclusion process (FEP) on the finite one-dimensional lattice when put in contact with boundary reservoirs, whose a…