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pith:QLYD7LUT

pith:2026:QLYD7LUTH2M726PD2RRDPL43PF

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Spatio-Temporal Signatures of Intermittency in Helically Rotating Turbulence through Topological Data Analysis

Amit Chattopadhyay (International Institute of Information Technology, Bangalore, India), Shiva Kumar Malapaka, Snigdhashree Mallick, Yashwanth Ramamurthi

Topological data analysis detects space-time locations of strong turbulent fluctuations in helically rotating flows via changes in persistence diagrams of vorticity and eddy-size fields.

arxiv:2605.17560 v1 · 2026-05-17 · physics.flu-dyn

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Claims

C1strongest claim

Pronounced variations in Wasserstein-distance heatmaps provide direct signatures of STFs across space and time, and TDA offers an effective complementary tool for detecting STFs that lead to intermittency within turbulent regime.

C2weakest assumption

That the chosen scalar fields (vorticity magnitude and length-scale) and the persistence-diagram representation are sufficient to isolate genuine intermittent events rather than artifacts of the 128^3 grid or the specific helical forcing.

C3one line summary

TDA on vorticity magnitude and length-scale fields in helically rotating turbulence produces Wasserstein-distance heatmaps that flag spatiotemporal signatures of strong turbulent fluctuations more sensitively than conventional statistics.

References

50 extracted · 50 resolved · 4 Pith anchors

[1] Tsinober.An informal Introduction to Turbulence 2001

[2] Frisch.Turbulence: The Legacy of A.N 1995

[3] Universal Scaling Laws in Fully Developed Turbulence 1994

[4] Dynamical length scales for turbulent mag- netized flows 1998 · doi:10.1029/97gl03782

[5] A Refinement of Previous Hypotheses Concerning the Local Structure of Turbulence in a Viscous Incompressible Fluid at High Reynolds Num- ber 1962

Formal links

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Receipt and verification

First computed	2026-05-20T00:04:45.941752Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82f03fae933e99fd79e3d46237af9b796c8c575677fe5ef2e98bce667fde2088

Aliases

arxiv: 2605.17560 · arxiv_version: 2605.17560v1 · doi: 10.48550/arxiv.2605.17560 · pith_short_12: QLYD7LUTH2M7 · pith_short_16: QLYD7LUTH2M726PD · pith_short_8: QLYD7LUT

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/QLYD7LUTH2M726PD2RRDPL43PF \
  | 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: 82f03fae933e99fd79e3d46237af9b796c8c575677fe5ef2e98bce667fde2088

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84f3c23971411e88185e6492b4ecf8b88a5c6f5d3bc4468a8f78d9164189363a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2026-05-17T17:43:58Z",
    "title_canon_sha256": "cdc8e750f732991d95855e3e03523366055fa12f7601166bdbf9d73541773b6d"
  },
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  "source": {
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    "kind": "arxiv",
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