Abstract
After a short introduction of the hydrodynamic equations and of the flow patterns leading to instabilities, two specific and equivalent models are studied in the form of Langevin equations, namely a Couette and a Benard flow in two dimensions. Based on a simple and precise definition of ‘far away from equilibrium’ states, a perturbation formalism applicable in this regime is described. The main result consists in an explicit construction of the unperturbed stationary state which, although it is Gaussian and hence implies the existence of a Wick’s theorem, it is nontrivial far away from equilibrium.
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© 1981 D. Reidel Publishing Company
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Enz, C.P. (1981). Hydrodynamic Models with Random Forces. In: Tirapegui, E. (eds) Field Theory, Quantization and Statistical Physics. Mathematical Physics and Applied Mathematics, vol 6. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-8368-7_15
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DOI: https://doi.org/10.1007/978-94-009-8368-7_15
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-009-8370-0
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