38 citations · 105 across the 9 of their papers we have counts for
5 papers · 1 filter
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…
Coarse-graining via the fluctuation-dissipation theorem and large-deviation theory
Alberto Montefusco, Mark A. Peletier, Hans Christian Öttinger
The fluctuation-dissipation theorem is a central result in statistical mechanics and is usually formulated for systems described by diffusion processes. In this paper, we propose a…
Essential equivalence of the GENERIC and Steepest Entropy Ascent models of dissipation for non-equilibrium thermodynamics
Alberto Montefusco, Francesco Consonni, Gian Paolo Beretta
By reformulating the Steepest-Entropy-Ascent (SEA) dynamical model for non-equilibrium thermodynamics in the mathematical language of Differential Geometry, we compare it with the…