28 citations · 78 across the 6 of their papers we have counts for
6 papers
Heat transport in stochastic energy exchange models of locally confined hard spheres
Pierre Gaspard, Thomas Gilbert
We study heat transport in a class of stochastic energy exchange systems that characterize the interactions of networks of locally trapped hard spheres under the assumption that ne…
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…
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…
On the derivation of Fourier's law in stochastic energy exchange systems
Pierre Gaspard, Thomas Gilbert
We present a detailed derivation of Fourier's law in a class of stochastic energy exchange systems that naturally characterize two-dimensional mechanical systems of locally confine…
Heat conductivity from molecular chaos hypothesis in locally confined billiard systems
Thomas Gilbert, Raphael Lefevere
We study the transport properties of a large class of locally confined Hamiltonian systems, in which neighboring particles interact through hard core elastic collisions. When these…
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…