Articles | Volume 12, issue 2
Earth Syst. Dynam., 12, 689–708, 2021
https://doi.org/10.5194/esd-12-689-2021
Earth Syst. Dynam., 12, 689–708, 2021
https://doi.org/10.5194/esd-12-689-2021

Research article 04 Jun 2021

Research article | 04 Jun 2021

Jarzynski equality and Crooks relation for local models of air–sea interaction

Achim Wirth and Florian Lemarié

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Cited articles

Boffetta, G. and Ecke, R. E.: Two-dimensional turbulence, Annu. Rev. Fluid Mech., 44, 427–451, 2012. a
Ciliberto, S., Garnier, N., Hernandez, S., Lacpatia, C., Pinton, J.-F., and Chavarria, G. R.: Experimental test of the Gallavotti–Cohen fluctuation theorem in turbulent flows, Physica A, 340, 240–250, 2004. a, b
Crooks, G. E.: Nonequilibrium measurements of free energy differences for microscopically reversible Markovian systems, J. Stat. Phys., 90, 1481–1487, 1998. a
Csanady, G. T.: Air-sea interaction: laws and mechanisms, Cambridge University Press, Cambridge UK, 2001. a, b
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We show that modern concepts of non-equilibrium statistical mechanics can be applied to large-scale environmental fluid dynamics, where fluctuations are not thermal but come from turbulence. The work theorems developed by Jarzynski and Crooks are applied to air–sea interaction. Rather than looking at the average values of thermodynamic variables, their probability density functions are considered, which allows us to replace the inequalities of equilibrium statistical mechanics with equalities.
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