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Crooks' fluctuation theorem for a process on a two dimensional fluid field

Gundermann, J., Kantz, H. and Broecker, J. (2013) Crooks' fluctuation theorem for a process on a two dimensional fluid field. Physical Review Letters, 110 (23). 234502. ISSN 0031-9007

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To link to this article DOI: 10.1103/PhysRevLett.110.234502

Abstract/Summary

We investigate the behavior of a two-dimensional inviscid and incompressible flow when pushed out of dynamical equilibrium. We use the two-dimensional vorticity equation with spectral truncation on a rectangular domain. For a sufficiently large number of degrees of freedom, the equilibrium statistics of the flow can be described through a canonical ensemble with two conserved quantities, energy and enstrophy. To perturb the system out of equilibrium, we change the shape of the domain according to a protocol, which changes the kinetic energy but leaves the enstrophy constant. We interpret this as doing work to the system. Evolving along a forward and its corresponding backward process, we find numerical evidence that the distributions of the work performed satisfy the Crooks relation. We confirm our results by proving the Crooks relation for this system rigorously.

Item Type:Article
Refereed:Yes
Divisions:Faculty of Science > School of Mathematical and Physical Sciences > Department of Mathematics and Statistics
Faculty of Science > School of Mathematical and Physical Sciences > Department of Meteorology
ID Code:32874
Additional Information:accepted
Publisher:American Physical Society

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