Pith Number

pith:HJG2GU4F

pith:2026:HJG2GU4FI52HE62ZDLE7OAWDPA

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Stochastic modeling of Fourier modes in two-dimensional turbulence via filtered white noise

Andrea Zanoni, Franco Flandoli, Paolo Cifani

A stochastic model of Fourier modes driven by filtered white noise reproduces the effective diffusion of passive tracers in two-dimensional turbulence.

arxiv:2605.13671 v1 · 2026-05-13 · math-ph · cs.NA · math.MP · math.NA · math.PR · physics.flu-dyn

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3 Author claim open · sign in to claim

4 Citations open

5 Replications open

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Claims

C1strongest claim

The stochastic model for the Fourier components produces an effective diffusion for the passive tracer that matches the one obtained from direct numerical simulation of the turbulent flow.

C2weakest assumption

That the Fourier modes can be modeled as independent processes driven by filtered white noise whose single correlation length is sufficient to capture the transport statistics, without needing cross-mode correlations or higher-order statistics.

C3one line summary

Filtered white noise stochastic model for Fourier modes in 2D turbulence reproduces effective diffusion of passive tracers seen in DNS.

References

37 extracted · 37 resolved · 0 Pith anchors

[1] Apolin´ ario, Geoffrey Beck, Laurent Chevillard, Isabelle Gal- lagher, and Ricardo Grande 2043

[2] Apolin´ ario, Laurent Chevillard, and Jean-Christophe Mourrat 2022

[3] Stochastic model reduction: convergence and applications to climate equations.J 2021

[4] G. Boffetta and S. Musacchio. Evidence for the double cascade scenario in two-dimensional turbulence.Phys. Rev. E, 82:016307, Jul 2010 2010

[5] Guido Boffetta and Robert E. Ecke. Two-dimensional turbulence. InAn- nual review of fluid mechanics. Volume 44, 2012, volume 44 ofAnnu. Rev. Fluid Mech., pages 427–451. Annual Reviews, Palo Alto, CA, 2012

Receipt and verification

First computed	2026-05-18T02:44:17.174876Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a4da353854774727b591ac9f702c3783d887193f95403648217f1300ade1c33

Aliases

arxiv: 2605.13671 · arxiv_version: 2605.13671v1 · doi: 10.48550/arxiv.2605.13671 · pith_short_12: HJG2GU4FI52H · pith_short_16: HJG2GU4FI52HE62Z · pith_short_8: HJG2GU4F

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/HJG2GU4FI52HE62ZDLE7OAWDPA \
  | 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: 3a4da353854774727b591ac9f702c3783d887193f95403648217f1300ade1c33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9714211765c8a9930ee82c7f7614830758eabefb60aaf2ca274d1fcf598025b4",
    "cross_cats_sorted": [
      "cs.NA",
      "math.MP",
      "math.NA",
      "math.PR",
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-05-13T15:30:19Z",
    "title_canon_sha256": "13ca5d2b455b09cfa734213d31d9affa233cbdaaca17add7a7302fb98cef11df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.13671",
    "kind": "arxiv",
    "version": 1
  }
}