Non-equilibrium linear response of micron-sized systems

Abstract : The linear response of non-equilibrium systems with Markovian dynamics satisfies a generalized fluctuation-dissipation relation derived from time symmetry and antisymmetry properties of the fluctuations. The relation involves the sum of two correlation functions of the observable of interest: one with the entropy excess and the second with the excess of dynamical activity with respect to the unperturbed process. We illustrate this approach in the experimental determination of the linear response of the potential energy of a Brownian particle in a toroidal optical trap. The overdamped particle motion is effectively confined to a circle, undergoing a periodic potential and driven out of equilibrium by a non-conservative force. Independent direct and indirect measurement of the linear response around a non-equilibrium steady state are performed in this simple experimental system. The same ideas are applicable to the non-equilibrium linear response of more general micron-sized systems immersed in Newtonian fluids either in stationary or non-stationary states and possibly including inertial degrees of freedom.
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https://hal-ens-lyon.archives-ouvertes.fr/ensl-00492526
Contributor : Juan Ruben Gomez-Solano <>
Submitted on : Wednesday, June 16, 2010 - 11:23:04 AM
Last modification on : Thursday, February 21, 2019 - 10:31:46 AM
Long-term archiving on : Friday, September 17, 2010 - 1:34:54 PM

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  • HAL Id : ensl-00492526, version 1
  • ARXIV : 1006.3196

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Juan Ruben Gomez-Solano, Artyom Petrosyan, Sergio Ciliberto, Christian Maes. Non-equilibrium linear response of micron-sized systems. 2010. ⟨ensl-00492526v1⟩

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