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Fluctuations of energy flux in a simple dissipative out-of-equilibrium system
Claudio Falcón1, Eric Falcon2

We report the statistical properties of the fluctuations of the energy flux in an electronic RC circuit driven with a stochastic voltage. The fluctuations of the power injected in the circuit are measured as a function of the damping rate and the forcing parameters. We show that its distribution exibits a cusp close to zero and two asymmetric exponential tails, the asymmetry being driven by the mean dissipation. This simple experiment allows to capture the qualitative features of the energy flux distribution observed in more complex dissipative systems. We also show that the large fluctuations of injected power averaged on a time lag do not verify the Fluctuation Theorem even for long averaging time. This is in contrast with the findings of previous experiments due to their small range of explored fluctuation amplitude. The injected power of an ensemble of N circuits is also studied to mimic systems with large number of particles either correlated or not, such as in a dilute granular gas.
1 :  LPS - Laboratoire de Physique Statistique de l'ENS
2 :  MSC - Matière et Systèmes Complexes
experiment – fluctuations – injected power – energy flux – distribution – probability density function – PDF – fluctuation theorem – Gallavotti-Cohen relation – out-of-equilibrium system – dissipative system – electronic circuit – RC circuit