37 citations · 163 across the 14 of their papers we have counts for
8 papers · 1 filter
Statistical properties of time-reversible triangular maps of the square
Vasileios Basios, Gian Luigi Forti, Thomas Gilbert
Time reversal symmetric triangular maps of the unit square are introduced with the property that the time evolution of one of their two variables is determined by a piecewise expan…
Heat conduction and Fourier's law in a class of many particle dispersing billiards
Pierre Gaspard, Thomas Gilbert
We consider the motion of many confined billiard balls in interaction and discuss their transport and chaotic properties. In spite of the absence of mass transport, due to confinem…
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…