Pith Number

pith:EMZRRXUD

pith:2026:EMZRRXUDQJAQFPZSJK7CSQNED6

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Critical velocity-space mode scalings in linear and nonlinear Landau damping for the Vlasov--Poisson system

A. S. Joglekar, J. Coughlin, Noah K. Guberman

Analytical scalings give the upper bound on velocity-space resolution needed for linear and nonlinear Landau damping in Vlasov-Poisson simulations.

arxiv:2605.16814 v1 · 2026-05-16 · physics.plasm-ph

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Claims

C1strongest claim

The upper bound on velocity-space resolution for linear and nonlinear Landau damping mediated by collisional diffusion is given by analytical scalings for the critical Fourier and Hermite mode numbers derived from a unified cascade-balance argument that depends on the bounce frequency ω_b, wavenumber kλ_D, and collisional frequency ν.

C2weakest assumption

The cascade-balance argument correctly identifies the dominant physical balance that sets the critical mode numbers across both linear and nonlinear regimes when collisions are present.

C3one line summary

Derives and numerically validates analytical scalings for critical velocity-space mode numbers in collisional Landau damping using a unified cascade-balance argument.

References

30 extracted · 30 resolved · 0 Pith anchors

[1] Physics of Plasmas , author = 2014 · doi:10.1063/1.4875726

[2] Machine learning of hidden variables in multiscale fluid simulation , volume = · doi:10.1088/2632-2153/acf81a

[3] Journal of Plasma Physics , author = 2025 · doi:10.1017/s0022377825000315

[4] Collisionless · doi:10.1063/1.1761193

[5] and Bernstein, Ira B · doi:10.1103/physrev.112.1456

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-20T00:03:23.890308Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

233318de83824102bf324abe2941a41f99a4b9a390fbd09d847a4495b53e88c1

Aliases

arxiv: 2605.16814 · arxiv_version: 2605.16814v1 · doi: 10.48550/arxiv.2605.16814 · pith_short_12: EMZRRXUDQJAQ · pith_short_16: EMZRRXUDQJAQFPZS · pith_short_8: EMZRRXUD

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/EMZRRXUDQJAQFPZSJK7CSQNED6 \
  | 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: 233318de83824102bf324abe2941a41f99a4b9a390fbd09d847a4495b53e88c1

Canonical record JSON

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  "metadata": {
    "abstract_canon_sha256": "f203750497fcc13e243f1ac8483a430e018f53f64819a1c7ad3cd5776e2c4bc2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.plasm-ph",
    "submitted_at": "2026-05-16T05:05:19Z",
    "title_canon_sha256": "808b7afdd1ba8d35ed9da2fc0c648878804c3dffe82ca608378235cab731e7f6"
  },
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  "source": {
    "id": "2605.16814",
    "kind": "arxiv",
    "version": 1
  }
}