8 citations · 35 across the 6 of their papers we have counts for
7 papers
Fractality of the non-equilibrium stationary states of open volume-preserving systems: II. Galton boards
Felipe Barra, Pierre Gaspard, Thomas Gilbert
Galton boards are models of deterministic diffusion in a uniform external field, akin to driven periodic Lorentz gases, here considered in the absence of dissipation mechanism. Ass…
Fractality of the non-equilibrium stationary states of open volume-preserving systems: I. Tagged particle diffusion
Felipe Barra, Pierre Gaspard, Thomas Gilbert
Deterministic diffusive systems such as the periodic Lorentz gas, multi-baker map, as well as spatially periodic systems of interacting particles, have non-equilibrium stationary s…
Log-periodic drift oscillations in self-similar billiards
Felipe Barra, Nikolai Chernov, Thomas Gilbert
We study a particle moving at unit speed in a self-similar Lorentz billiard channel; the latter consists of an infinite sequence of cells which are identical in shape but growing e…
Steady-state conduction in self-similar billiards
Felipe Barra, Thomas Gilbert
The self-similar Lorentz billiard channel is a spatially extended deterministic dynamical system which consists of an infinite one-dimensional sequence of cells whose sizes increas…
Non-equilibrium Lorentz gas on a curved space
Felipe Barra, Thomas Gilbert
The periodic Lorentz gas with external field and iso-kinetic thermostat is equivalent, by conformal transformation, to a billiard with expanding phase-space and slightly distorted…
Drift of particles in self-similar systems and its Liouvillian interpretation
Felipe Barra, Thomas Gilbert, Mauricio Romo
We study the dynamics of classical particles in different classes of spatially extended self-similar systems, consisting of (i) a self-similar Lorentz billiard channel, (ii) a self…