Fluctuation Analysis of the Atmospheric Energy Cycle
Richard Blender, Denny Gohlke, and Frank Lunkeit
TL;DR
This paper investigates the fluctuations in the atmospheric energy cycle using a simplified model, finding that energy current densities follow specific statistical distributions and exhibit linear fluctuation ratios.
Contribution
It introduces a novel analysis of atmospheric energy fluctuations using the Gumbel and GEV distributions and assesses the fluctuation relation in a simplified climate model.
Findings
Energy current densities follow Gumbel and GEV distributions.
The fluctuation ratio shows linear behavior within a finite range.
The study links energy fluctuations to entropy production concepts.
Abstract
The atmosphere gains available potential energy by solar radiation and dissipates kinetic energy mainly in the atmospheric boundary layer. We analyze the fluctuations of the global mean energy cycle defined by Lorenz (1955) in a simulation with a simplified hydrostatic model. The energy current densities are well approximated by the generalized Gumbel distribution (Bramwell, Holdsworth and Pinton, 1998) and the Generalized Extreme Value (GEV) distribution. In an attempt to assess the fluctuation relation of Evans, Cohen, and Morriss (1993) we define entropy production by the injected power and use the GEV location parameter as a reference state. The fluctuation ratio reveals a linear behavior in a finite range.
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