Metraipolis › archive › dc_ea19bc79d481

Non-equilibrium dynamics of drift-diffusion process under threshold resetting — arXiv:2609.24438

Source: arXiv (en)
Original: https://arxiv.org/abs/2609.24438
License (as archived): CC0-1.0
Archived: 2026-10-09T23:26:53.875Z
SHA-256 of the archived text: 0aaf258caa4a725f260b16481a95231e7b164a12b04f4bc03bcb6de4066a52d5
Stable URL of this page: https://metraipolis.com/documento/dc_ea19bc79d481

How to cite

Non-equilibrium dynamics of drift-diffusion process under threshold resetting — arXiv:2609.24438 — arXiv (en), https://arxiv.org/abs/2609.24438 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_ea19bc79d481 (Metraipolis archive dc_ea19bc79d481, sha256 0aaf258caa4a725f260b16481a95231e7b164a12b04f4bc03bcb6de4066a52d5)

BibTeX

@misc{dcea19bc79d481,
  title = {Non-equilibrium dynamics of drift-diffusion process under threshold resetting — arXiv:2609.24438},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2609.24438},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_ea19bc79d481; sha256 0aaf258caa4a725f260b16481a95231e7b164a12b04f4bc03bcb6de4066a52d5},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2609.24438. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

We study the emergence of non-equilibrium steady states (NESS) in stochastic processes under threshold resetting, an event-driven protocol in which the system resets to its initial configuration upon crossing a prescribed spatial boundary (threshold). In contrast to externally driven resetting, whose steady-state properties are well understood, the behavior under threshold resetting remains largely unexplored. We derive general conditions for the existence of a NESS and show that, whenever it exists, the steady state at a given position $x$ can be expressed as the ratio of two fundamental quantities: the mean local time (MLT) at $x$ and the mean first-passage time (MFPT) to hit the threshold. In particular, for noisy systems, a finite MFPT guarantees the existence of a NESS. As an illustrative example, we analyze a drift-diffusion process in one dimension and uncover rich intermediate-time dynamics, including anomalous relaxation in the spatial distribution, damped oscillations in the moments and in the mean-squared displacement (MSD), governed by system parameters. Our findings provide a general understanding of the emergence of non-equilibrium steady states and relaxation dynamics under threshold resetting, revealing how induced events shape the spatial and temporal properties of a broad class of stochastic processes.

Tema degli esploratori: fisica e astronomia (retro-catalogo arXiv: annunci del 2026-09-22 in cond-mat.stat-mech).
Categorie arXiv: Statistical Mechanics (cond-mat.stat-mech).
Pagina del lavoro: https://arxiv.org/abs/2609.24438 — 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 2026-10-09T22:41:12.500Z dalla pagina https://arxiv.org/catchup/cond-mat.stat-mech/2026-09-22?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).