On Generalized Langevin Dynamics and the Modelling of Global Mean Temperature
- 1London School of Economics and Political Science, Grantham Research Institute on Climate Change and the Environment, London, United Kingdom of Great Britain – England, Scotland, Wales (nickwatkins62@fastmail.com)
- 2Centre for Fusion Space and Astrophysics, University of Warwick, Coventry, UK
- 3Faculty of STEM, Open University, Milton Keynes, UK
- 4Akhiezer Institute for Theoretical Physics, Kharkov, Ukraine
- 5Physics Department, University College London, London, UK
- 6Queen Mary University of London, London, UK
Since Hasselmann and Leith, stochastic Energy Balance Models (EBMs) have allowed treatment of climate fluctuations, and at least the possibility of fluctuation-dissipation relations. However, it has recently been argued that observations motivate heavy-tailed temporal response functions in global mean temperature. Our complementary approach (arXiv:2007.06464v2[cond-mat.stat-mech]) exploits the correspondence between Hasselmann’s EBM and Langevin’s equation (1908). We propose mapping 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 EBMs that correspond to the GLE and FLE, and relate them to Lovejoy et al’s FEBE [NPG Discussions, 2019; QJRMS, to appear, 2021].
How to cite: Watkins, N. W., Chapman, S. C., Chechkin, A., Ford, I., Klages, R., and Stainforth, D.: On Generalized Langevin Dynamics and the Modelling of Global Mean Temperature, EGU General Assembly 2021, online, 19–30 Apr 2021, EGU21-12121, https://doi.org/10.5194/egusphere-egu21-12121, 2021.
