Pith Number

pith:MZHGEXTU

pith:2026:MZHGEXTUXHRU7S5YLXEZ6STYHR

not attested not anchored not stored refs resolved

Splitting probabilities of confined chiral active Brownian particles

Sarafa A. Iyaniwura, Zhiwei Peng

Channel geometry, activity, and chirality together set the probabilities that active particles escape through one boundary versus another.

arxiv:2603.13621 v2 · 2026-03-13 · cond-mat.soft

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\pithnumber{MZHGEXTUXHRU7S5YLXEZ6STYHR}

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3 Author claim open · sign in to claim

4 Citations open

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The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

We demonstrate how channel geometry, particle activity, and chirality modulate the likelihood of escape through different boundaries.

C2weakest assumption

The Fick-Jacobs reduction yields effective transport equations along the axial direction for small aspect ratios in corrugated channels, assuming transverse degrees of freedom can be integrated out without significant error.

C3one line summary

Splitting probabilities of confined chiral active Brownian particles depend on geometry, activity, and chirality, with exact 1D solutions in asymptotic regimes and effective 1D models via Fick-Jacobs reduction in narrow channels.

References

50 extracted · 50 resolved · 0 Pith anchors

[1] Rogers S S, Flores-Rodriguez N, Allan V J, Woodman P G and Waigh T A 2010 Phys. Chem. Chem. Phys. 12 3753–3761 Splitting probabilities of active particles 21 2010

[2] Redner S 2001 A Guide to First-passage Processes (Cambridge University Press) 2001

[3] Klinger J, Voituriez R and B´ enichou O 2022 Phys. Rev. Lett. 129(14) 140603 2022

[4] Calvani G and Perona P 2023 Phys. Rev. E 108(4) 044105 2023

[5] Springer, New York 48 108–112 2015

Formal links

1 machine-checked theorem link

Receipt and verification

First computed	2026-06-19T16:12:19.523122Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

664e625e74b9e34fcbb85dc99f4a783c597b551d32449aa1d562ab823e11b8cf

Aliases

arxiv: 2603.13621 · arxiv_version: 2603.13621v2 · doi: 10.48550/arxiv.2603.13621 · pith_short_12: MZHGEXTUXHRU · pith_short_16: MZHGEXTUXHRU7S5Y · pith_short_8: MZHGEXTU

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/MZHGEXTUXHRU7S5YLXEZ6STYHR \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 664e625e74b9e34fcbb85dc99f4a783c597b551d32449aa1d562ab823e11b8cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a62c4d4031bbbbe1625fe56399a88651a437a19bfd202f184d54bbe578927763",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.soft",
    "submitted_at": "2026-03-13T21:57:11Z",
    "title_canon_sha256": "a8df14d994f7e8588e7545424220ca7f994a00bfd55783b0a6d097a41847176e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.13621",
    "kind": "arxiv",
    "version": 2
  }
}