Zobrazeno 1 - 10
of 31
pro vyhledávání: '"Montefusco, Alberto"'
Autor:
Wehlitz, Nathalie, Sadeghi, Mohsen, Montefusco, Alberto, Schütte, Christof, Pavliotis, Grigorios A., Winkelmann, Stefanie
This work proposes stochastic partial differential equations (SPDEs) as a practical tool to replicate clustering effects of more detailed particle-based dynamics. Inspired by membrane-mediated receptor dynamics on cell surfaces, we formulate a stocha
Externí odkaz:
http://arxiv.org/abs/2407.18952
Autor:
Montefusco, Alberto, Helfmann, Luzie, Okunola, Toluwani, Winkelmann, Stefanie, Schütte, Christof
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 microscopic details with high accuracy. However, they suffer from computation
Externí odkaz:
http://arxiv.org/abs/2307.01737
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 rate functional for the Kac process which is closely linked to the FC s
Externí odkaz:
http://arxiv.org/abs/2211.07265
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 spatially continuous reaction-diffusion models, which, in the limit of an infi
Externí odkaz:
http://arxiv.org/abs/2201.02613
Autor:
Montefusco, Alberto, Helfmann, Luzie, Okunola, Toluwani, Winkelmann, Stefanie, Schütte, Christof
Publikováno v:
In Mathematical Biosciences March 2024 369
Understanding the fluctuations by which phenomenological evolution equations with thermodynamic structure can be enhanced is the key to a general framework of nonequilibrium statistical mechanics. These fluctuations provide an idealized representatio
Externí odkaz:
http://arxiv.org/abs/2004.09120
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. In the first paper of this series we established how, by a generaliza
Externí odkaz:
http://arxiv.org/abs/2004.09121
We introduce two new concepts of convergence of gradient systems $(\mathbf Q, \mathcal E_\varepsilon,\mathcal R_\varepsilon)$ to a limiting gradient system $(\mathbf Q, \mathcal E_0,\mathcal R_0)$. These new concepts are called `EDP convergence with
Externí odkaz:
http://arxiv.org/abs/2001.01455
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 generalization for a wider class of stochastic processes, namely the
Externí odkaz:
http://arxiv.org/abs/1809.07253
Publikováno v:
Phys. Rev. E, Vol.91, 042138 (2015)
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 primitive formulation of the GENERIC model and discuss the main techni
Externí odkaz:
http://arxiv.org/abs/1411.5378