Semi-Quenched Invariance Principle for the Random Lorentz Gas: Beyond the Boltzmann–Grad Limit

By synchronously coupling multiple Lorentz trajectories exploring the same environment consisting of randomly placed scatterers in R3, we upgrade the annealed invariance principle proved in [Lutsko, Tóth (2020)] to the quenched setting (that is, valid for almost all realizations of the environment) along sufficiently fast extractor sequences.

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Publication Details

Journal
Entropy
Published
2025-04-08
DOI
https://doi.org/10.3390/e27040397
Citations
2
Primary Topic
Theoretical and Computational Physics
Type
article
Field-Weighted Citation Impact
2.52
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article

Semi-Quenched Invariance Principle for the Random Lorentz Gas: Beyond the Boltzmann–Grad Limit

Bálint Tóth
2 citations
Entropy
Theoretical and Computational Physics
2.52
article

Semi-Quenched Invariance Principle for the Random Lorentz Gas: Beyond the Boltzmann–Grad Limit

Bálint Tóth
article en
2 citations

Abstract

By synchronously coupling multiple Lorentz trajectories exploring the same environment consisting of randomly placed scatterers in R3, we upgrade the annealed invariance principle proved in [Lutsko, Tóth (2020)] to the quenched setting (that is, valid for almost all realizations of the environment) along sufficiently fast extractor sequences.

EntropyVol. 27(4)
HUN-REN Alfréd Rényi Institute of Mathematics (HU), University of Bristol (GB)
Openalex Percentile: Top 12%
Theoretical and Computational Physics
2.52
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