50 citations · 546 across the 43 of their papers we have counts for
19 papers · 1 filter
What mathematical billiards teach us about statistical physics?
Péter Bálint, Thomas Gilbert, Domokos Szász +1
We survey applications of the theory of hyperbolic (and to a lesser extent non hyperbolic) billiards to some fundamental problems of statistical physics and their mathematically ri…
Absence of correlations in the energy exchanges of an exactly solvable model of heat transport with many degrees of freedom
Thomas Gilbert
A process based on the exactly solvable Kipnis--Marchioro--Presutti model of heat conduction [J. Stat. Phys. 27 65 (1982)] is described whereby lattice cells share their energies a…
Heat conduction and the nonequilibrium stationary states of stochastic energy exchange processes
Thomas Gilbert
I revisit the exactly solvable Kipnis--Marchioro--Presutti model of heat conduction [J. Stat. Phys. 27 65 (1982)] and describe, for one-dimensional systems of arbitrary sizes whose…
Dynamical contribution to the heat conductivity in stochastic energy exchanges of locally confined gases
Pierre Gaspard, Thomas Gilbert
We present a systematic computation of the heat conductivity of the Markov jump process modeling the energy exchanges in an array of locally confined hard spheres at the conduction…
Lévy walks on lattices as multi-state processes
Giampaolo Cristadoro, Thomas Gilbert, Marco Lenci +1
Continuous-time random walks combining diffusive scattering and ballistic propagation on lattices model a class of Lévy walks. The assumption that transitions in the scattering pha…
Machta-Zwanzig regime of anomalous diffusion in infinite-horizon billiards
Giampaolo Cristadoro, Thomas Gilbert, Marco Lenci +1
We study diffusion on a periodic billiard table with infinite horizon in the limit of narrow corridors. An effective trapping mechanism emerges according to which the process can b…