92 citations · 478 across the 19 of their papers we have counts for
7 papers · 1 filter
Crossover from Diffusive to Ballistic Transport in Periodic Quantum Maps
Daniel K. Wojcik, J. Robert Dorfman
We derive an expression for the mean square displacement of a particle whose motion is governed by a uniform, periodic, quantum multi-baker map. The expression is a function of bot…
Diffusive Lorentz gases and multibaker maps are compatible with irreversible thermodynamics
P. Gaspard, G. Nicolis, J. R. Dorfman
We show that simple diffusive systems, such as the Lorentz gas and multibaker maps are perfectly compatible with the laws of irreversible thermodynamics, despite the fact that the…
Entropy production of diffusion in spatially periodic deterministic systems
J. R. Dorfman, P. Gaspard, T. Gilbert
This paper presents an {\it ab initio} derivation of the expression given by irreversible thermodynamics for the rate of entropy production for different classes of diffusive proce…
Field dependent collision frequency of the two-dimensional driven random Lorentz gas
Christoph Dellago, Henk v. Beijeren, Debabrata Panja +1
In the field-driven, thermostatted Lorentz gas the collision frequency increases with the magnitude of the applied field due to long-time correlations. We study this effect with co…
The Fractality of the Hydrodynamic Modes of Diffusion
P. Gaspard, I. Claus, T. Gilbert +1
Transport by normal diffusion can be decomposed into the so-called hydrodynamic modes which relax exponentially toward the equilibrium state. In chaotic systems with two degrees of…
Chaotic Properties of Dilute Two and Three Dimensional Random Lorentz Gases II: Open Systems
Henk van Beijeren, Arnulf Latz, J. R. Dorfman
We calculate the spectrum of Lyapunov exponents for a point particle moving in a random array of fixed hard disk or hard sphere scatterers, i.e. the disordered Lorentz gas, in a ge…
Entropy Production, Fractals, and Relaxation to Equilibrium
T. Gilbert, J. R. Dorfman, P. Gaspard
The theory of entropy production in nonequilibrium, Hamiltonian systems, previously described for steady states using partitions of phase space, is here extended to time dependent…