Zobrazeno 1 - 10
of 134
pro vyhledávání: '"Simon, Marielle"'
We prove the hydrodynamic limit for a one-dimensional harmonic chain of interacting atoms with a random flip of the momentum sign. The system is open: at the left boundary it is attached to a heat bath at temperature $T_-$, while at the right endpoin
Externí odkaz:
http://arxiv.org/abs/2406.11408
Autor:
Olivera, Christian, Simon, Marielle
This paper considers a large class of nonlinear integro-differential scalar equations which involve an anomalous diffusion (e.g. driven by a fractional Laplacian) and a non-local singular convolution kernel. Each of those singular equations is obtain
Externí odkaz:
http://arxiv.org/abs/2404.03772
We investigate a $2d$-conservative lattice gas exhibiting a dynamical active-absorbing phase transition with critical density $\rho_c$. We derive the hydrodynamic equation for this model, showing that all critical exponents governing the large scale
Externí odkaz:
http://arxiv.org/abs/2403.09324
We study the symmetric facilitated exclusion process (FEP) on the finite one-dimensional lattice $\lbrace 1,\dots ,N-1\rbrace$ when put in contact with boundary reservoirs, whose action is subject to an additional kinetic constraint in order to enfor
Externí odkaz:
http://arxiv.org/abs/2401.16535
We construct a nearest-neighbour interacting particle system of exclusion type, which illustrates a transition from slow to fast diffusion. More precisely, the hydrodynamic limit of this microscopic system in the diffusive space-time scaling is the p
Externí odkaz:
http://arxiv.org/abs/2301.06585
We consider the facilitated exclusion process, an interacting particle system on the integer line where particles hop to one of their left or right neighbouring site only when the other neighbouring site is occupied by a particle. A peculiarity of th
Externí odkaz:
http://arxiv.org/abs/2301.04689
We summarize and extend some of the results obtained recently for the microscopic and macroscopic behavior of a pinned harmonic chain, with random velocity flips at Poissonian times, acted on by a periodic force {at one end} and in contact with a hea
Externí odkaz:
http://arxiv.org/abs/2212.00093
We derive the hydrodynamic limit for two degenerate lattice gases, the \emph{facilitated exclusion process} (FEP) and the \emph{facilitated zero-range process} (FZRP), both in the symmetric and the asymmetric case. For both processes, the hydrodynami
Externí odkaz:
http://arxiv.org/abs/2202.04469
We investigate the macroscopic behavior of asymmetric attractive zero-range processes on $\mathbb{Z}$ where particles are destroyed at the origin at a rate of order $N^\beta$, where $\beta \in \mathbb{R}$ and $N\in\mathbb{N}$ is the scaling parameter
Externí odkaz:
http://arxiv.org/abs/2109.04133
By a probabilistic method we provide an explicit fundamental solution of the Cauchy problem associated to the heat equation on the half-line with constant drift and Dirichlet boundary condition at zero.
Comment: We have been warned by Hugo Panzo
Comment: We have been warned by Hugo Panzo
Externí odkaz:
http://arxiv.org/abs/2010.00690