Quantum transport in a crystal with short-range interactions: the Boltzmann-Grad limit

DOI10.1007/s10955-021-02797-zzbMath1481.82017arXiv2012.15312OpenAlexW3117686710MaRDI QIDQ2046519

Jory Griffin, Jens Marklof

Publication date: 18 August 2021

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.15312

zbMATH Keywords

Lorentz gasBoltzmann equationFloquet-Bloch theorykinetic transportBerry-Tabor conjecture

Mathematics Subject Classification ID

Quantum chaos (81Q50) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Transport processes in time-dependent statistical mechanics (82C70) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Boltzmann equations (35Q20)

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Efficient algorithm for simulating particles in true quasiperiodic environments ⋮ Derivation of the linear Boltzmann equation from the damped quantum Lorentz gas with a general scatterer configuration

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