8th Liquid Matter Conference September 6-10, 2011 Wien, Austria ...

Tue 611:23-14:00P9.3Influence of hydrodynamics on the fluctuation theoremMaxim Belushkin, 1 Roberto Livi, 2 and Giuseppe Foffi 11 Ecole Polytechnique Federale de Lausanne, EPFL SB ITP GR-FO, 1015, Lausanne,Switzerland2 Universite de Cergy-Pontoise, Cergy-Pontoise, FranceThe fluctuation theorem is a fundamental result in physics. It quantifies the probability ofobserving a violation of the second law of thermodynamics [1, 2, 3]. It is well-known that thefluctuation theorem is relevant on the mesoscopic level, i.e. there exists a finite and sufficientlylarge probability of observing violations of the second law of thermodynamics on length scalesof the order of nano- to micrometres and time scales of the order of microseconds. However,the validity of the fluctuation theorem in the presence of hydrodynamic interactions, which playa very important role at the same length- and time-scales, remained unclear [4]. We employmulti-particle collision dynamics which correctly describe both thermal fluctuations and hydrodynamicinteractions [5, 6] even at very short time scales [7, 8] and demonstrate the validity of thefluctuation theorem in the presence of hydrodynamic interactions at all averaging (measurement)times [9] provided that a specific hydrodynamic scaling of the volume of measurement of entropyproduction is taken into account. We discuss our results in the context of recent experimentalinvestigations and provide insight essential for the analysis of the experimental results.[1] D. J. Evans, E. G. D. Cohen, G. P. Morriss, Phys. Rev. Lett. 71, 2401 (1993).[2] G. Gallavotti, E. G. D. Cohen, Phys. Rev. Lett. 74, 2694 (1995).[3] D. J. Evans, D. J. Searles, Adv. Phys. 51, 1529 (2002).[4] F. Bonetto, J. L. Lebowitz, Phys. Rev. E 64, 056129 (2001).[5] J. T. Padding, A. A. Louis, Phys. Rev. E 74, 031402 (2006).[6] G. Gompper et al. , Advances in polymer science 221, 1 (2009).[7] T. Franosch, M. Grimm, M. Belushkin, F. Mor, G. Foffi, L. Forro, S. Jeney, submitted (2011).[8] M. Belushkin, R. Winkler, G. Foffi, to be submitted (2011).[9] M. Belushkin, R. Livi, G. Foffi, Phys. Rev. Lett. (2011).3