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

Jens Marklof, Jory Griffin

Research output: Contribution to journalArticle (Academic Journal)peer-review

Abstract

We study the macroscopic transport properties of the quantum Lorentz
gas in a crystal with short-range potentials, and show that in the Boltzmann-Grad
limit the quantum dynamics converges to a random flight process which is not compatible with the linear Boltzmann equation. Our derivation relies on a hypothesis
concerning the statistical distribution of lattice points in thin domains, which is
closely related to the Berry-Tabor conjecture in quantum chaos
Original languageEnglish
JournalJournal of Statistical Physics
Publication statusAccepted/In press - 28 Jun 2021

Fingerprint

Dive into the research topics of 'Quantum transport in a crystal with short-range interactions: The Boltzmann-Grad limit'. Together they form a unique fingerprint.

Cite this