Watkins, Nicholas W;
Chapman, Sandra C;
Chechkin, Aleksei;
Ford, Ian;
Klages, Rainer;
Stainforth, David A;
(2021)
On Generalized Langevin Dynamics and the Modelling of Global Mean Temperature.
In: Braha, Dan and de Aguiar, Marcus AM and Gershenson, Carlos and Morales, Alfredo J and Kaufman, Les and Naumova, Elena N and Minai, Ali A and Bar-Yam, Yaneer, (eds.)
Unifying Themes in Complex Systems X (ICCS 2020).
(pp. pp. 433-441).
Springer Proceedings in Complexity: Cham, Switzerland.
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Abstract
Climate science employs a hierarchy of models, trading the tractability of simplified energy balance models (EBMs) against the detail of Global Circulation Models. Since the pioneering work of Hasselmann, stochastic EBMs have allowed treatment of climate fluctuations and noise. However, it has recently been claimed that observations motivate heavy-tailed temporal response functions in global mean temperature to perturbations. Our complementary approach exploits the correspondence between Hasselmann’s EBM and the original mean-reverting stochastic model in physics, Langevin’s equation of 1908. We propose mapping a model well known in statistical mechanics, the Mori-Kubo Generalised Langevin Equation (GLE) to generalise the Hasselmann EBM. If present, long range memory then simplifies the GLE to a fractional Langevin equation (FLE). We describe the corresponding EBMs that map to the GLE and FLE, briefly discuss their solutions, and relate them to Lovejoy’s new Fractional Energy Balance Model.
| Type: | Proceedings paper |
|---|---|
| Title: | On Generalized Langevin Dynamics and the Modelling of Global Mean Temperature |
| Event: | ICCS 2020: 10th International Conference on Complex Systems |
| ISBN-13: | 9783030673178 |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1007/978-3-030-67318-5_29 |
| Publisher version: | https://doi.org/10.1007/978-3-030-67318-5_29 |
| Language: | English |
| Additional information: | This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions. |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Physics and Astronomy |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10207033 |
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