Zobrazeno 1 - 10
of 153
pro vyhledávání: '"Carlen E"'
We consider a system of N point particles moving on a d-dimensional torus. Each particle is subject to a uniform field E and random speed conserving collisions. This model is a variant of the Drude-Lorentz model of electrical conduction. In order to
Externí odkaz:
http://arxiv.org/abs/1305.7282
Autor:
Carlen, E., Soffer, A.
We prove for the rescaled convolution map $f\to f\circledast f$ propagation of polynomial, exponential and gaussian localization. The gaussian localization is then used to prove an optimal bound on the rate of entropy production by this map. As an ap
Externí odkaz:
http://arxiv.org/abs/1106.2256
We investigate the geometry of typical equilibrium configurations for a lattice gas in a finite macroscopic domain with attractive, long range Kac potentials. We focus on the case when the system is below the critical temperature and has a fixed numb
Externí odkaz:
http://arxiv.org/abs/1104.5033
Publikováno v:
JSP, Volume 137, Numbers 5-6, 1166-1204 (2009)
The three species asymmetric ABC model was initially defined on a ring by Evans, Kafri, Koduvely, and Mukamel, and the weakly asymmetric version was later studied by Clincy, Derrida, and Evans. Here the latter model is studied on a one-dimensional la
Externí odkaz:
http://arxiv.org/abs/0905.4849
We study the structure of the constrained minimizers of the Gates-Lebowitz-Penrose free-energy functional ${\mathcal F}_{\rm GLP}(m)$, non-local functional of a density field $m(x)$, $x\in {\mathcal T}_L$, a $d$-dimensional torus of side length $L$.
Externí odkaz:
http://arxiv.org/abs/0905.3583
We investigate the behavior in $N$ of the $N$--particle entropy functional for Kac's stochastic model of Boltzmann dynamics, and its relation to the entropy function for solutions of Kac's one dimensional nonlinear model Boltzmann equation. We prove
Externí odkaz:
http://arxiv.org/abs/0808.3192
We prove theorem characterizing the minimizers in a model for condensation based on the Cahn Hilliard free energy functional. In particular, we exactly determine the critical density for droplet formation.
Externí odkaz:
http://arxiv.org/abs/math-ph/0505036
Autor:
Carlen, E. A., Gangbo, W.
Publikováno v:
Ann. of Math. (2), Vol. 157 (2003), no. 3, 807--846
We study several constrained variational problem in the 2-Wasserstein metric for which the set of probability densities satisfying the constraint is not closed. For example, given a probability density $F_0$ on $\R^d$ and a time-step $h>0$, we seek t
Externí odkaz:
http://arxiv.org/abs/math/0312063
We study the coexistence of phases in a two--species model whose free energy is given by the scaling limit of a system with long range interactions (Kac potentials) which are attractive between particles of the same species and repulsive between diff
Externí odkaz:
http://arxiv.org/abs/cond-mat/0209615
Autor:
Carlen, E. A., Gangbo, W.
Publikováno v:
Annals of Mathematics, 2003 May 01. 157(3), 807-846.
Externí odkaz:
https://www.jstor.org/stable/3597273
