Microscopic description of irreversibility in quantum Lorentz gas by complex spectral analysis of the Liouvillian outside the Hilbert space.
Sign Up to like & getrecommendations! Published in 2017 at "Chaos"
DOI: 10.1063/1.5002106
Abstract: Irreversible process of a weakly coupled one-dimensional quantum perfect Lorentz gas is studied on the basis of the fundamental laws of physics in terms of the complex spectral analysis associated with the resonance state of… read more here.
Keywords: quantum; space; lorentz gas; spectral analysis ... See more keywords
Infinite horizon billiards: Transport at the border between Gauss and Lévy universality classes.
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DOI: 10.1103/physreve.100.042140
Abstract: We consider transport in two billiard models, the infinite horizon Lorentz gas and the stadium channel, presenting analytical results for the spreading packet of particles. We first obtain the cumulative distribution function of traveling times… read more here.
Keywords: transport; horizon billiards; lorentz gas; border gauss ... See more keywords
Stochastic telegrapher's approach for solving the random Boltzmann-Lorentz gas.
Sign Up to like & getrecommendations! Published in 2022 at "Physical review. E"
DOI: 10.1103/physreve.105.044131
Abstract: The 1D random Boltzmann-Lorentz equation has been connected with a set of stochastic hyperbolic equations. Therefore, the study of the Boltzmann-Lorentz gas with disordered scattering centers has been transformed into the analysis of a set of… read more here.
Keywords: boltzmann lorentz; random boltzmann; lorentz gas; stochastic telegrapher ... See more keywords