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We experimentally study the fluctuations of the work done by an externalGaussian random force on two different stochastic systems coupled to a thermalbath: a colloidal particle in an optical trap and an atomic force microscopycantilever. We determine the corresponding probability density functions fordifferent random forcing amplitudes ranging from a small fraction to severaltimes the amplitude of the thermal noise. In both systems for sufficiently weakforcing amplitudes the work fluctuations satisfy the usual steady statefluctuation theorem. As the forcing amplitude drives the system far fromequilibrium, deviations of the fluctuation theorem increase monotonically. Thedeviations can be recasted to a single master curve which only depends on thekind of stochastic external force.

Steady state fluctuation relations for systems driven by an external random force