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math.PR2025
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.PR2025
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…