Pith Number

pith:OCU4AGUV

pith:2026:OCU4AGUVSQFQSPTHLQ3ECEANLS

not attested not anchored not stored refs resolved

Boris and Exponential Integrators in the Theory of Particles Interacting with Magnetic Turbulence

Andreas Shalchi

Rodrigues scheme from exponential integrators matches Boris accuracy for particle motion in magnetic turbulence without extra cost

arxiv:2605.14065 v1 · 2026-05-13 · physics.plasm-ph · astro-ph.SR

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Claims

C1strongest claim

It is argued in the current article that a Rodrigues based integrator is a very strong alternative because for the specific problem discussed here, it does not require longer computing times.

C2weakest assumption

That regenerating the magnetic field at each time step makes the practical accuracy and speed of the Rodrigues and Boris schemes comparable, with the theoretical advantage of the exact matrix exponential not producing measurable differences in the tested cases.

C3one line summary

The Rodrigues integrator derived from exponential integrators performs comparably to the established Boris integrator in test-particle simulations of particles interacting with magnetic turbulence and does not require longer run times.

References

51 extracted · 51 resolved · 0 Pith anchors

[1] Kallenrode, M.-B., Wibberenz, G.: Astrophys. J.420, 294 (1994) 1994

[2] Bieber, J.W., Wanner, W., Matthaeus, W.H.: J. Geophys. Res. 101, 2511 (1996) 16 1996

[3] Burden, R.L., Faires, J.D.: Numerical Analysis, 9th ed., Brooks/Cole, Cengage Learning, Boston (2011) 2011

[4] Space Res.461208 (2010) 2010

[5] Effenberger, F., Walter, D., Fichtner, H., et al.: Space Sci. Rev. 221, 75 (2025) 2025

Receipt and verification

First computed	2026-05-17T23:39:12.483393Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70a9c01a95940b093e675c3641100d5cba5a1952059398c6377d954eb0f04f5d

Aliases

arxiv: 2605.14065 · arxiv_version: 2605.14065v1 · doi: 10.48550/arxiv.2605.14065 · pith_short_12: OCU4AGUVSQFQ · pith_short_16: OCU4AGUVSQFQSPTH · pith_short_8: OCU4AGUV

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/OCU4AGUVSQFQSPTHLQ3ECEANLS \
  | 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: 70a9c01a95940b093e675c3641100d5cba5a1952059398c6377d954eb0f04f5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a962ac7d872451c502ce0bd957a3cf7c64722b27927b4d41d8a9451feaaed63",
    "cross_cats_sorted": [
      "astro-ph.SR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.plasm-ph",
    "submitted_at": "2026-05-13T19:41:49Z",
    "title_canon_sha256": "2c89a2e6659360fee5b9c7ec356ee289be4ce6febf9c09c759db622f5373152c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.14065",
    "kind": "arxiv",
    "version": 1
  }
}