Entropy fluctuations in shell models of turbulenceT. Gilbert
Institut Non-Linéaire de Nice, CNRS - 1361 Route des Lucioles, 06560 Valbonne, France
(Received 16 January 2004; accepted in final form 14 May 2004)
This letter concerns the extension to non-reversible systems of a relation between the statistics of the fluctuations of the entropy production rate and its stationary average. In the framework of a standard shell model of turbulence, we consider the statistics of the energy input rate and entropy supplied separately and provide numerical evidence that even though the fluctuations of the former quantity are consistent with the linear part of the fluctuation theorem, this is not so of the latter when the fluctuations are large enough. Moreover, in the linear regime, the slope is not in agreement with the universal value predicted by the theorem. Our results extend those of Aumaître et al. (Eur. Phys. J. B 19 (2001) 449).
05.40.-a - Fluctuation phenomena, random processes, noise, and Brownian motion.
05.45.-a - Nonlinear dynamics and nonlinear dynamical systems.
47.27.-i - Turbulent flows, convection, and heat transfer.
© EDP Sciences 2004