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pith:K6TFAIIO

pith:2026:K6TFAIIOBJZOEMPM3QMFQPTHTO

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Active Model B$^-$ from Mass-Conserving Reaction-Diffusion Systems

Beatrice Nettuno, Davide Toffenetti, Erwin Frey, Henrik Weyer

The late-time dynamics of a minimal three-component mass-conserving reaction-diffusion system reduce to Active Model B^- with negative high-density interfacial coefficient.

arxiv:2605.15903 v1 · 2026-05-15 · cond-mat.soft · cond-mat.stat-mech

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Claims

C1strongest claim

We show that the late-time dynamics of a minimal three-component mass-conserving reaction-diffusion system reduce to a scalar active field theory, Active Model B^-(AMB^-), in which a density-dependent interfacial coefficient κ(φ) turns negative at high density. This drives a finite-wavelength instability and stabilises microphase-separated patterns.

C2weakest assumption

The reduction to a single scalar field with the specific AMB^- form (including the sign change in κ(φ)) holds exactly or asymptotically at late times for the chosen minimal reaction network; any additional fast modes or non-minimal reactions would invalidate the mapping.

C3one line summary

Late-time dynamics of a three-component mass-conserving reaction-diffusion system map onto Active Model B^- with density-dependent negative interfacial tension that selects microphase separation.

References

46 extracted · 46 resolved · 0 Pith anchors

[1] E. Frey and H. Weyer, Annu. Rev. Biophys.55, 10.1146/annurev-biophys-030822-031638 (2026), (in press) 2026 · doi:10.1146/annurev-biophys-030822-031638

[2] Many roads to symmetry breaking: molecular mechanisms and theoretical models of yeast cell polarity 2017

[3] L. Edelstein-Keshet, W. R. Holmes, M. Zajac, and M. Dutot, Philosophical Transactions of the Royal So- ciety B368, 20130003 (2013) 2013

[4] J. Lutkenhaus, Annu. Rev. Biochem.76, 539 (2007) 2007

[5] M. Loose, E. Fischer-Friedrich, J. Ries, K. Kruse, and P. Schwille, Science320, 789 (2008) 2008

Receipt and verification

First computed	2026-05-20T00:01:24.673736Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57a650210e0a72e231ecdc18583e679bb89a3a0b63a6674efd45e3008949ae00

Aliases

arxiv: 2605.15903 · arxiv_version: 2605.15903v1 · doi: 10.48550/arxiv.2605.15903 · pith_short_12: K6TFAIIOBJZO · pith_short_16: K6TFAIIOBJZOEMPM · pith_short_8: K6TFAIIO

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/K6TFAIIOBJZOEMPM3QMFQPTHTO \
  | 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: 57a650210e0a72e231ecdc18583e679bb89a3a0b63a6674efd45e3008949ae00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0985898aea802f22ab0131e3a93c69a9631ce2491152f3153ebe47f229f3b48",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.soft",
    "submitted_at": "2026-05-15T12:42:19Z",
    "title_canon_sha256": "c57706c63e18650fd1ee4ac4d5f753e62bd146d66bfe0a80288ea55c51c92d71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.15903",
    "kind": "arxiv",
    "version": 1
  }
}