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pith:DIWOF7NN

pith:2026:DIWOF7NNCMIRISXQXJTFGDKW2E

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Stochastic Resonance in a Thermally Driven Low-Dimensional Geodynamo Model

Edoardo Cascio, Francesco Berrilli, Giuseppe Consolini, Giuseppina Nigro

Periodic modulation of the alpha-effect in a low-dimensional geodynamo model produces multi-peaked distributions of magnetic persistence times at integer multiples of the modulation period.

arxiv:2605.13867 v1 · 2026-05-02 · physics.geo-ph · astro-ph.EP

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Claims

C1strongest claim

the modulation generates a multipeaked probability density function of magnetic persistence times, with local maxima occurring at approximately integer multiples of the modulation timescale, as expected in a stochastic-resonance-like regime

C2weakest assumption

that the chosen low-dimensional thermally driven model and the imposed periodic modulation of the alpha-effect parameter are sufficiently representative of the real geodynamo to produce reversal statistics that can be compared with observations

C3one line summary

Slow periodic modulation of the alpha-effect in a low-dimensional thermally driven geodynamo model creates a multi-peaked distribution of magnetic polarity persistence times at integer multiples of the modulation timescale.

References

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[1] (see also [45]). The model equations (1), (4) and (2) are written in a dimensionless form, where we measure the velocity in terms of the free-fall velocity U = √ ˆαgL ∆ T and measure the magnetic ﬁeld

[2] b1 − µ B2 0 b3 1, (6) which can be recast as an overdamped relaxation in a Landau potential U (b1) deﬁned by ˙b1 = − dU/db 1, yield- 5 -1 0 1 1.5 200500 201000 201500 202000 202500 203000 b1(t) t 0 2

[3] = B2 0 4µ ( µ − ηk2 1 ) 2 ≃ η ≪ 1 µ B2 0 4 (9) demonstrating that the barrier increases and/or de- creases with µ . In equation (3), the nonlinear coupling terms appear- ing in the ﬁrst two terms in t

[4] 09, consistent with the PDF-peak estimate δUpdf ≃

[5] We also report residence-time asymmetry, deﬁned as the fraction of samples with b1(t) > 0 versus b1(t) < 0, as an independent diagnostic of a possible preference for polarity 2000

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Receipt and verification

First computed	2026-05-17T23:39:19.363665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a2ce2fdad1311144af0ba66530d56d13a265f85ed931092e60045e196fbaa06

Aliases

arxiv: 2605.13867 · arxiv_version: 2605.13867v1 · doi: 10.48550/arxiv.2605.13867 · pith_short_12: DIWOF7NNCMIR · pith_short_16: DIWOF7NNCMIRISXQ · pith_short_8: DIWOF7NN

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Canonical record JSON

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    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.geo-ph",
    "submitted_at": "2026-05-02T19:32:40Z",
    "title_canon_sha256": "000b9d9d57f452f76ff91fb6a709ceb5ba7828ac1472351b497196362c43b32f"
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