40 citations · 121 across the 16 of their papers we have counts for
7 papers · 1 filter
Large-time asymptotic of heavy tailed renewal processes
Hiroshi Horii, Raphael Lefevere, Takahiro Nemoto
We study the large-time asymptotic of renewal-reward processes with a heavy-tailed waiting time distribution. It is known that the heavy tail of the distribution produces an extrem…
Fick's law in a random lattice Lorentz gas
Raphael Lefevere
We provide a proof that the stationary macroscopic current of particles in a random lattice Lorentz gas satisfies Fick's law when connected to particles reservoirs. We consider a b…
Macroscopic diffusion from a Hamilton-like dynamics
Raphael Lefevere
We introduce and analyze a model for the transport of particles or energy in extended lattice systems. The dynamics of the model acts on a discrete phase space at discrete times bu…
Macroscopic fluctuations theory of aerogel dynamics
Raphael Lefevere, Mauro Mariani, Lorenzo Zambotti
We consider the thermodynamic potential describing the macroscopic fluctuation of the current and local energy of a general class of Hamiltonian models including aerogels. We argue…
Large deviations of lattice Hamiltonian dynamics coupled to stochastic thermostats
T. Bodineau, R. Lefevere
We discuss the Donsker-Varadhan theory of large deviations in the framework of Hamiltonian systems thermostated by a Gaussian stochastic coupling. We derive a general formula for t…
Perturbative analysis of anharmonic chains of oscillators out of equilibrium
R. Lefevere, A. Schenkel
We compute the first-order correction to the correlation functions of the stationary state of a stochastically forced harmonic chain out of equilibrium when a small on-site anharmo…