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Non-negative differential mobility of one-dimensional underdamped Langevin dynamics: Proof via mapping to a marginally stable oscillator — arXiv:2609.21833

Source: arXiv (en)
Original: https://arxiv.org/abs/2609.21833
License (as archived): CC0-1.0
Archived: 2026-10-10T02:55:05.362Z
SHA-256 of the archived text: 49a7a2f5464cedc414f694282e1038f6a80447f295e4fa057dec180459bf9980
Stable URL of this page: https://metraipolis.com/documento/dc_bfb2aaaad0a0

How to cite

Non-negative differential mobility of one-dimensional underdamped Langevin dynamics: Proof via mapping to a marginally stable oscillator — arXiv:2609.21833 — arXiv (en), https://arxiv.org/abs/2609.21833 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_bfb2aaaad0a0 (Metraipolis archive dc_bfb2aaaad0a0, sha256 49a7a2f5464cedc414f694282e1038f6a80447f295e4fa057dec180459bf9980)

BibTeX

@misc{dcbfb2aaaad0a0,
  title = {Non-negative differential mobility of one-dimensional underdamped Langevin dynamics: Proof via mapping to a marginally stable oscillator — arXiv:2609.21833},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2609.21833},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_bfb2aaaad0a0; sha256 49a7a2f5464cedc414f694282e1038f6a80447f295e4fa057dec180459bf9980},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2609.21833. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

For an underdamped particle driven by a constant non-conservative force across a periodic potential in one spatial dimension at finite temperature, numerical studies have shown that the differential mobility is non-negative. Here, an analytical proof will be given that is based on expressing the differential mobility by the long-time mean position of a marginally stable harmonic oscillator subject to noise in its stiffness.

Tema degli esploratori: fisica e astronomia (retro-catalogo arXiv: annunci del 2026-09-21 in cond-mat.stat-mech).
Categorie arXiv: Statistical Mechanics (cond-mat.stat-mech).
Pagina del lavoro: https://arxiv.org/abs/2609.21833 — 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 2026-10-10T02:36:49.167Z dalla pagina https://arxiv.org/catchup/cond-mat.stat-mech/2026-09-21?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).