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Journal Articles Physical Review E : Statistical, Nonlinear, and Soft Matter Physics Year : 2005

## Nonequilibrium fluctuations in a resistor

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Nicolas Garnier
Sergio Ciliberto
• Function : Author
• PersonId : 829236

#### Abstract

In small systems where relevant energies are comparable to thermal agitation, fluctuations are of the order of average values. In systems in thermodynamical equilibrium, the variance of these fluctuations can be related to the dissipation constant in the system, exploiting the Fluctuation-Dissipation Theorem (FDT). In non-equilibrium steady systems, Fluctuations Theorems (FT) additionally describe symmetry properties of the probability density functions (PDFs) of the fluctuations of injected and dissipated energies. We experimentally probe a model system: an electrical dipole driven out of equilibrium by a small constant current $I$, and show that FT are experimentally accessible and valid. Furthermore, we stress that FT can be used to measure the dissipated power $\bar{\cal P}=RI^2$ in the system by just studying the PDFs symmetries.

### Dates and versions

ensl-00180072 , version 1 (17-10-2007)

### Identifiers

• HAL Id : ensl-00180072 , version 1

### Cite

Nicolas Garnier, Sergio Ciliberto. Nonequilibrium fluctuations in a resistor. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2005, 71 (060101), pp.4. ⟨ensl-00180072⟩

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