50 citations · 546 across the 43 of their papers we have counts for
6 papers · 1 filter
Diffusion coefficients for multi-step persistent random walks on lattices
Thomas Gilbert, David P. Sanders
We calculate the diffusion coefficients of persistent random walks on lattices, where the direction of a walker at a given step depends on the memory of a certain number of previou…
Persistence effects in deterministic diffusion
Thomas Gilbert, David P. Sanders
In systems which exhibit deterministic diffusion, the gross parameter dependence of the diffusion coefficient can often be understood in terms of random walk models. Provided the d…
Chaos in cylindrical stadium billiards via a generic nonlinear mechanism
Thomas Gilbert, David P. Sanders
We describe conditions under which higher-dimensional billiard models in bounded, convex regions are fully chaotic, generalizing the Bunimovich stadium to dimensions above two. An…
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…