Zobrazeno 1 - 10
of 295
pro vyhledávání: '"Zimmer, Johannes"'
Autor:
Ayala, Mario, Zimmer, Johannes
We consider a d-dimensional symmetric inclusion process (SIP), where particles are allowed to jump arbitrarily far apart. We establish both the hydrodynamic limit and non-equilibrium fluctuations for the empirical measure of particles. With the help
Externí odkaz:
http://arxiv.org/abs/2410.21933
We reconsider the fundamental problem of coarse-graining infinite-dimensional Hamiltonian dynamics to obtain a macroscopic system which includes dissipative mechanisms. In particular, we study the thermodynamical implications concerning Hamiltonians,
Externí odkaz:
http://arxiv.org/abs/2404.09284
Machine learning, with its remarkable ability for retrieving information and identifying patterns from data, has emerged as a powerful tool for discovering governing equations. It has been increasingly informed by physics, and more recently by thermo
Externí odkaz:
http://arxiv.org/abs/2312.05810
Autor:
García-Depraect, Octavio, Martínez-Mendoza, Leonardo J., Aragão Börner, Rosa, Zimmer, Johannes, Muñoz, Raúl
Publikováno v:
In Bioresource Technology September 2024 408
Publikováno v:
In Journal of the Mechanics and Physics of Solids January 2025 194
A class of fast-slow Hamiltonian systems with potential $U_\varepsilon$ describing the interaction of non-ergodic fast and slow degrees of freedom is studied. The parameter $\varepsilon$ indicates the typical timescale ratio of the fast and slow degr
Externí odkaz:
http://arxiv.org/abs/2103.05778
Second-order asymptotic expansion and thermodynamic interpretation of a fast-slow Hamiltonian system
This article includes a short survey of selected averaging and dimension reduction techniques for deterministic fast-slow systems. This survey includes, among others, classical techniques, such as the WKB approximation or the averaging method, as wel
Externí odkaz:
http://arxiv.org/abs/2010.10971
A stochastic PDE, describing mesoscopic fluctuations in systems of weakly interacting inertial particles of finite volume, is proposed and analysed in any finite dimension $d\in\mathbb{N}$. It is a regularised and inertial version of the Dean-Kawasak
Externí odkaz:
http://arxiv.org/abs/2005.06014
We consider the chemical reaction networks and study currents in these systems. Reviewing recent decomposition of rate functionals from large deviation theory for Markov processes, we adapt these results for reaction networks. In particular, we state
Externí odkaz:
http://arxiv.org/abs/1912.06436
We study a class of Hamilton-Jacobi partial differential equations in the space of probability measures. In the first part of this paper, we prove comparison principles (implying uniqueness) for this class. In the second part, we establish the existe
Externí odkaz:
http://arxiv.org/abs/1903.00052