# Fluctuations of energy flux in a simple

# dissipative out-of-equilibrium system

^{}C. Falcón^{1} and **E.
Falcon**^{2}

^{1} Laboratoire de Physique Statistique,
Ecole Normale Supérieure Paris, CNRS UMR 8550 , 24 rue Lhomond,
75 005
Paris, France

^{2} Laboratoire Matière et Systèmes Complexes,
Université Paris-Diderot - Paris 7, CNRS UMR 7057, 10 rue Domon
et Duquet 75 013 Paris, France

### Reference:

**Abstract:**

#### 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, with the asymmetry being driven
by the
mean dissipation. This simple experiment allows one 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 to the
findings of previous experiments due to their small range of explored
fluctuation amplitude. The injected power in a system of N components
either
correlated or not is also studied to mimic systems with large number of
particles, such as in a dilute granular gas.

**Keywords :** experiment ; fluctuations ; injected power ;
energy flux ; distribution ; probability density function ; fluctuation
theorem ; Gallavotti-Cohen relation; out-of-equilibrium system ;
dissipative system ; electronic circuit ; RC circuit

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