Journal
JOURNAL OF STATISTICAL PHYSICS
Volume 107, Issue 3-4, Pages 781-803Publisher
KLUWER ACADEMIC/PLENUM PUBL
DOI: 10.1023/A:1014538214117
Keywords
fluctuation phenomena; random processes; noise and Brownian motion
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In this paper, we consider the Langevin equation from an unusual point of view, that is as an archetype for a dissipative system driven out of equilibrium by an external excitation. Using path integral method, we compute exactly the probability density function of the power (averaged over a time interval of length tau) injected (and dissipated) by the random force into a Brownian particle driven by a Langevin equation, The resulting distribution, as well as the associated large deviation function, display strong asymmetry, whose origin is explained. Connections with the so-called Fluctuation Theorem are thereafter discussed. Finally, considering Langevin equations with a pinning potential, we show that the large deviation function associated with the injected power is completely insensitive to the presence of a potential.
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