Pith Number

pith:AQDX2J4L

pith:2026:AQDX2J4LTW4VYIJYWU22WU5LO2

not attested not anchored not stored refs pending

Blocking of 2D bistable reaction-diffusion fronts by obstacles

B. Sarels, G. Cruz-Pacheco, J. Gatlik, J.-G. Caputo

The integral of the reaction term provides an effective driving force that, combined with the one-dimensional traveling wave solution, yields an analytical model for predicting when bistable fronts are blocked by two-dimensional obstacles.

arxiv:2604.15246 v3 · 2026-04-16 · math-ph · math.MP · physics.bio-ph

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\usepackage{pith}
\pithnumber{AQDX2J4LTW4VYIJYWU22WU5LO2}

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4 Citations open

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Claims

C1strongest claim

Combining this insight with the exact one-dimensional traveling wave solution, we construct a reduced analytical model that predicts blocking thresholds. In particular, we obtain explicit conditions for front propagation in a waveguide connected to a conical region of angle theta, valid for widths w less than 4. The model captures the influence of both geometry and nonlinearity, and shows good agreement with numerical simulations.

C2weakest assumption

The integral of the reaction term can be treated as an effective driving force that allows reduction of the 2D problem to the 1D traveling-wave solution, with the reduction remaining valid for the waveguide-conical geometry when w < 4.

C3one line summary

A conservation-law reduced model yields explicit blocking thresholds for bistable fronts in waveguides connected to conical regions of angle theta (valid for widths w<4) and heuristic rules for complex obstacles, agreeing with simulations.

Receipt and verification

First computed	2026-06-23T02:12:49.104254Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04077d278b9db95c2138b535ab53ab76b1746b8e3a0631ca866f57648178d764

Aliases

arxiv: 2604.15246 · arxiv_version: 2604.15246v3 · doi: 10.48550/arxiv.2604.15246 · pith_short_12: AQDX2J4LTW4V · pith_short_16: AQDX2J4LTW4VYIJY · pith_short_8: AQDX2J4L

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/AQDX2J4LTW4VYIJYWU22WU5LO2 \
  | 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: 04077d278b9db95c2138b535ab53ab76b1746b8e3a0631ca866f57648178d764

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "656aeaf848a2f195dec57aee358647504dc2f907b1afa8ea063c3ad15006f4bf",
    "cross_cats_sorted": [
      "math.MP",
      "physics.bio-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-04-16T17:22:22Z",
    "title_canon_sha256": "9ad9eeb8338a4c2af6ce56f550112bfe56cbcd77153faec8e2cdfc78a7808624"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.15246",
    "kind": "arxiv",
    "version": 3
  }
}