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math.AP2022
Fourier-Cattaneo equation: stochastic origin, variational formulation, and asymptotic limits
Alberto Montefusco, Upanshu Sharma, Oliver Tse
We introduce a variational structure for the Fourier-Cattaneo (FC) system which is a second-order hyperbolic system. This variational structure is inspired by the large-deviation r…
cond-mat.stat-mech2022
A route to the hydrodynamic limit of a reaction-diffusion master equation using gradient structures
Alberto Montefusco, Christof Schütte, Stefanie Winkelmann
The reaction-diffusion master equation (RDME) is a lattice-based stochastic model for spatially resolved cellular processes. It is often interpreted as an approximation to spatiall…