Details

Autor(en) / Beteiligte

• Gundermann, Julia
• Kantz, Holger
• Bröcker, Jochen

Titel

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

Ist Teil von

• Physical review letters, 2013-06, Vol.110 (23), p.234502-234502, Article 234502

Ort / Verlag

United States

Erscheinungsjahr

2013

Link zum Volltext

Quelle

American Physical Society Journals

Beschreibungen/Notizen

• 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.