38 citations · 105 across the 9 of their papers we have counts for
9 papers
Approximating particle-based clustering dynamics by stochastic PDEs
Nathalie Wehlitz, Mohsen Sadeghi, Alberto Montefusco +3
This work proposes stochastic partial differential equations (SPDEs) as a practical tool to replicate clustering effects of more detailed particle-based dynamics. Inspired by membr…
Partial mean-field model for neurotransmission dynamics
Alberto Montefusco, Luzie Helfmann, Toluwani Okunola +2
This article addresses reaction networks in which spatial and stochastic effects are of crucial importance. For such systems, particle-based models allow us to describe all microsc…
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…
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…
A framework of nonequilibrium statistical mechanics. II. Coarse-graining
Alberto Montefusco, Mark A. Peletier, Hans Christian Öttinger
For a given thermodynamic system, and a given choice of coarse-grained state variables, the knowledge of a force-flux constitutive law is the basis for any nonequilibrium modeling.…
A framework of nonequilibrium statistical mechanics. I. Role and type of fluctuations
Hans Christian Öttinger, Mark A. Peletier, Alberto Montefusco
Understanding the fluctuations by which phenomenological evolution equations with thermodynamic structure can be enhanced is the key to a general framework of nonequilibrium statis…