92 citations · 478 across the 19 of their papers we have counts for
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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…
Diffusive-ballistic crossover in 1D quantum walks
Daniel K. Wojcik, J. R. Dorfman
We show that particle transport in a uniform, quantum multi-baker map, is generically ballistic in the long time limit, for any fixed value of Planck's constant. However, for fixed…
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…