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Asymmetry-controlled resonant transport in a Brownian flashing ratchet — arXiv:2608.29991

Source: arXiv (en)
Original: https://arxiv.org/abs/2608.29991
License (as archived): CC0-1.0
Archived: 2026-10-17T10:20:46.072Z
SHA-256 of the archived text: dc15c0460e6cf5b9d2b1a447184ef6a687aba35b66575892b2caef8551dfe536
Stable URL of this page: https://metraipolis.com/documento/dc_67acaba5a577

How to cite

Asymmetry-controlled resonant transport in a Brownian flashing ratchet — arXiv:2608.29991 — arXiv (en), https://arxiv.org/abs/2608.29991 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_67acaba5a577 (Metraipolis archive dc_67acaba5a577, sha256 dc15c0460e6cf5b9d2b1a447184ef6a687aba35b66575892b2caef8551dfe536)

BibTeX

@misc{dc67acaba5a577,
  title = {Asymmetry-controlled resonant transport in a Brownian flashing ratchet — arXiv:2608.29991},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2608.29991},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_67acaba5a577; sha256 dc15c0460e6cf5b9d2b1a447184ef6a687aba35b66575892b2caef8551dfe536},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2608.29991. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

We investigate directed transport in a one-dimensional Brownian flashing ratchet with a piecewise-linear asymmetric periodic potential. Numerical solutions of the Fokker--Planck equation and Brownian dynamics simulations reveal a nonmonotonic dependence of the stationary current on the switching frequency, with a resonant maximum whose position depends on the potential asymmetry $\delta$ and barrier height $\Delta$. For moderate asymmetry, $|\delta|<0.5$, the current obeys a scaling form that separates the dependence on the potential parameters from a common frequency dependence, resulting in a data collapse upon appropriate scaling of the current and frequency. The current amplitude varies linearly with $\delta$, while the resonance frequency follows $\nu(\delta,\Delta)=\nu_0(\Delta)/ [1-b_0\, \delta^2]$. We interpret the resulting $(1-\delta^2)^{-1}$ scaling in terms of coupled relaxation along the two branches of the asymmetric potential, which provides a physical basis for the observed dependence of the resonant frequency on the potential asymmetry.

Tema degli esploratori: fisica e astronomia (retro-catalogo arXiv: annunci del 2026-09-01 in cond-mat.stat-mech).
Categorie arXiv: Statistical Mechanics (cond-mat.stat-mech) ; Soft Condensed Matter (cond-mat.soft).
Pagina del lavoro: https://arxiv.org/abs/2608.29991 — 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 2026-10-17T10:07:11.792Z dalla pagina https://arxiv.org/catchup/cond-mat.stat-mech/2026-09-01?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).