37 citations · 163 across the 14 of their papers we have counts for
7 papers · 1 filter
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…
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…
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…
Fluctuation theorem applied to the Nosé-Hoover thermostated Lorentz gas
Thomas Gilbert
We present numerical evidence supporting the validity of the Gallavotti-Cohen Fluctuation Theorem applied to the driven Lorentz gas with Nosé-Hoover thermostating. It is moreover a…