Fluctuation Analysis of the Atmospheric Energy Cycle
arXiv:1802.07565 · doi:10.1103/PhysRevE.98.023101
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.
arXiv comment17 pages, 5 figures
References in corpus (16)
- Dynamical Ensembles in Nonequilibrium Statistical Mechanics
- Entropy production along a stochastic trajectory and an integral fluctuation theorem
- Dynamical ensembles in stationary states
- Information theory explanation of the fluctuation theorem, maximum entropy production and self-organized criticality in non-equilibrium stationary states
- Fluctuation Theorems
- Universal Fluctuations in Correlated Systems
- Computation of extreme heat waves in climate models using a large deviation algorithm
- Fluctuations in out of equilibrium systems: from theory to experiment
- Experimental test of the Gallavotti-Cohen fluctuation theorem in turbulent flows
- Global fluctuations and Gumbel statistics
- Fluctuations of energy flux in wave turbulence
- Statistical properties of entropy production derived from fluctuation theorems
- Universal fluctuations and extreme value statistics
- Fluctuations of energy flux in a simple dissipative out-of-equilibrium system
- Fluctuations of entropy production in turbulent thermal convection
- Towards a Fluctuation Theorem in an Atmospheric Circulation Model