Zobrazeno 1 - 10
of 426
pro vyhledávání: '"82b21"'
Autor:
Huang, Kaiyin, Liu, Weishi
In this work a dynamical system approach is taken to systematically investigate the one-dimensional classical Poisson-Boltzmann (PB) equation with various boundary conditions. This framework, particularly, the phase space portrait, has a unique advan
Externí odkaz:
http://arxiv.org/abs/2406.19696
Autor:
Peszek, Jan, Rodiac, Rémy
We study the mean-field limits of critical points of interaction energies with Coulombian singularity. An important feature of our setting is that we allow interaction between particles of opposite signs. Particles of opposite signs attract each othe
Externí odkaz:
http://arxiv.org/abs/2404.13433
Autor:
Frommer, Fabio
Interacting particle systems in a finite-volume in equilibrium are often described by a grand-canonical ensemble induced by the corresponding Hamiltonian, i.e. a finite-volume Gibbs measure. However, in practice, directly measuring this Hamiltonian i
Externí odkaz:
http://arxiv.org/abs/2312.13144
Autor:
Holden, Helge, Risebro, Nils Henrik
We study a generalized Follow-the-Leader model where the driver considers the position of an arbitrary but finite number of vehicles ahead, as well as the position of the vehicle directly behind the driver. It is proved that this model converges to t
Externí odkaz:
http://arxiv.org/abs/2312.00606
We consider the Widom--Rowlinson model in which hard disks of two possible colors are constrained to a hard-core repulsion between particles of different colors, in quenched random environments. These random environments model spatially dependent pre
Externí odkaz:
http://arxiv.org/abs/2311.07146
We propose a kinetic model for understanding the link between opinion formation phenomena and epidemic dynamics. The recent pandemic has brought to light that vaccine hesitancy can present different phases and temporal and spatial variations, presuma
Externí odkaz:
http://arxiv.org/abs/2310.19601
Autor:
Bouchitté, Guy, Mahadevan, Rajesh
In models of $N$ interacting particles in $\R^d$ as in Density Functional Theory or crowd motion, the repulsive cost is usually described by a two-point function $c_\e(x,y) =\ell\Big(\frac{|x-y|}{\e}\Big)$ where $\ell: \R_+ \to [0,\infty]$ is decreas
Externí odkaz:
http://arxiv.org/abs/2310.16488
We prove the existence of a liquid-gas phase transition for continuous Gibbs point process in $\mathbb{R}^d$ with Quermass interaction. The Hamiltonian we consider is a linear combination of the volume $\mathcal{V}$, the surface measure $\mathcal{S}$
Externí odkaz:
http://arxiv.org/abs/2309.08338
Autor:
Dereudre, David, Flimmel, Daniela
We investigate the hyperuniformity of marked Gibbs point processes with weak dependencies among distant points whilst the interactions of close points are kept arbitrary. Some variants of stability and range assumptions are posed on the Papangelou in
Externí odkaz:
http://arxiv.org/abs/2306.17276
We prove that among all 1-periodic configurations $\Gamma$ of points on the real line $\mathbb{R}$ the quantities $$ \min_{x \in \mathbb{R}} \sum_{\gamma \in \Gamma} e^{- \pi \alpha (x - \gamma)^2} \quad \text{and} \quad \max_{x \in \mathbb{R}} \sum_
Externí odkaz:
http://arxiv.org/abs/2305.01532