Articles | Volume 29, issue 1
Nonlin. Processes Geophys., 29, 93–121, 2022
https://doi.org/10.5194/npg-29-93-2022

Special issue: Centennial issue on nonlinear geophysics: accomplishments...

Nonlin. Processes Geophys., 29, 93–121, 2022
https://doi.org/10.5194/npg-29-93-2022

Research article 25 Feb 2022

Research article | 25 Feb 2022

Fractional relaxation noises, motions and the fractional energy balance equation

Shaun Lovejoy

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Interactive discussion

Status: closed
Status: closed
AC: Author comment | RC: Referee comment | SC: Short comment | EC: Editor comment
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Peer-review completion

AR: Author's response | RR: Referee report | ED: Editor decision
AR by Shaun Lovejoy on behalf of the Authors (17 Jan 2020)  Author's response    Manuscript
ED: Referee Nomination & Report Request started (08 Apr 2020) by Daniel Schertzer
RR by Anonymous Referee #4 (24 Jun 2020)
RR by Anonymous Referee #5 (19 Sep 2020)
ED: Reconsider after major revisions (further review by editor and referees) (24 Sep 2020) by Daniel Schertzer
AR by Shaun Lovejoy on behalf of the Authors (14 Dec 2020)  Author's response    Author's tracked changes    Manuscript
ED: Referee Nomination & Report Request started (31 Dec 2020) by Daniel Schertzer
RR by Anonymous Referee #5 (09 Jun 2021)
ED: Publish subject to minor revisions (review by editor) (12 Aug 2021) by Daniel Schertzer
AR by Shaun Lovejoy on behalf of the Authors (16 Sep 2021)  Author's response    Author's tracked changes    Manuscript
ED: Publish subject to minor revisions (review by editor) (05 Nov 2021) by Daniel Schertzer
AR by Shaun Lovejoy on behalf of the Authors (08 Nov 2021)  Author's response
ED: Publish subject to technical corrections (27 Dec 2021) by Daniel Schertzer
AR by Shaun Lovejoy on behalf of the Authors (29 Dec 2021)  Author's response    Manuscript
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Short summary
The difference between the energy that the Earth receives from the Sun and the energy it emits as black-body radiation is stored in a scaling hierarchy of structures in the ocean, soil and hydrosphere. The simplest scaling storage model leads to the fractional energy balance equation (FEBE). We examine the statistical properties of FEBE when it is driven by random fluctuations. In this paper, we explore the statistical properties of this mathematically simple yet neglected equation.