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Loss of memory in the periodic Ehrenfest model with small polyhedral scatterers — arXiv:2609.04371

Source: arXiv (en)
Original: https://arxiv.org/abs/2609.04371
License (as archived): CC0-1.0
Archived: 2026-10-16T23:16:11.225Z
SHA-256 of the archived text: 3170910a000eae0b8085dc7c22236040d564d5a514f331dfb78fdbe8c9321375
Stable URL of this page: https://metraipolis.com/documento/dc_ef85d47eccfc

How to cite

Loss of memory in the periodic Ehrenfest model with small polyhedral scatterers — arXiv:2609.04371 — arXiv (en), https://arxiv.org/abs/2609.04371 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_ef85d47eccfc (Metraipolis archive dc_ef85d47eccfc, sha256 3170910a000eae0b8085dc7c22236040d564d5a514f331dfb78fdbe8c9321375)

BibTeX

@misc{dcef85d47eccfc,
  title = {Loss of memory in the periodic Ehrenfest model with small polyhedral scatterers — arXiv:2609.04371},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2609.04371},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_ef85d47eccfc; sha256 3170910a000eae0b8085dc7c22236040d564d5a514f331dfb78fdbe8c9321375},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2609.04371. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

We determine the Boltzmann--Grad limit of the Ehrenfest ``wind-tree'' model with a periodic configuration of polyhedral scatterers. The central result is a loss-of-memory effect in dimension $d\geq 3$ for a generic choice of polyhedron. This yields a Markovian limiting transport process on an extended state space and a generalised linear Boltzmann equation for the time evolution of the particle density.

Tema degli esploratori: matematica e informatica teorica (retro-catalogo arXiv: annunci del 2026-09-07 in math.PR).
Categorie arXiv: Dynamical Systems (math.DS) ; Mathematical Physics (math-ph); Probability (math.PR).
Pagina del lavoro: https://arxiv.org/abs/2609.04371 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-10-16T23:02:42.115Z dalla pagina https://arxiv.org/catchup/math.PR/2026-09-07?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).