Zobrazeno 1 - 10
of 200
pro vyhledávání: '"Pavliotis, G."'
The scaling of the mobility of two-dimensional Langevin dynamics in a periodic potential as the friction vanishes is not well understood for non-separable potentials. Theoretical results are lacking, and numerical calculation of the mobility in the u
Externí odkaz:
http://arxiv.org/abs/2206.09781
We consider the mean field Fokker-Planck equation subject to nonlinear no-flux boundary conditions, which necessarily arise when subjecting a system of Brownian particles interacting via a pair potential in a bounded domain. With the additional prese
Externí odkaz:
http://arxiv.org/abs/2203.14143
Inverse problems are ubiquitous because they formalize the integration of data with mathematical models. In many scientific applications the forward model is expensive to evaluate, and adjoint computations are difficult to employ; in this setting der
Externí odkaz:
http://arxiv.org/abs/2102.00540
We study the response to perturbations in the thermodynamic limit of a network of coupled identical agents undergoing a stochastic evolution which, in general, describes non-equilibrium conditions. All systems are nudged towards the common centre of
Externí odkaz:
http://arxiv.org/abs/2008.10912
In this paper, we study the diffusive limit of solutions to the generalized Langevin equation (GLE) in a periodic potential. Under the assumption of quasi-Markovianity, we obtain sharp longtime equilibration estimates for the GLE using techniques fro
Externí odkaz:
http://arxiv.org/abs/2007.16087
We establish the global well-posedness of overdamped dynamic density functional theory (DDFT): a nonlinear, nonlocal integro-partial differential equation used in statistical mechanical models of colloidal fluids, and other applications including non
Externí odkaz:
http://arxiv.org/abs/2002.11663
In this work we give a proof of the mean-field limit for $\lambda$-convex potentials using a purely variational viewpoint. Our approach is based on the observation that all evolution equations that we study can be written as gradient flows of functio
Externí odkaz:
http://arxiv.org/abs/1906.04601
In this paper we consider systems of weakly interacting particles driven by colored noise in a bistable potential, and we study the effect of the correlation time of the noise on the bifurcation diagram for the equilibrium states. We accomplish this
Externí odkaz:
http://arxiv.org/abs/1904.05973
Akademický článek
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Autor:
Nuesken, N., Pavliotis, G. A.
In this paper we develop a general framework for constructing and analysing coupled Markov chain Monte Carlo samplers, allowing for both (possibly degenerate) diffusion and piecewise deterministic Markov processes. For many performance criteria of in
Externí odkaz:
http://arxiv.org/abs/1806.11026