Inertial effects in nonequilibrium work fluctuations by a path integral approach. (English) Zbl 1134.82015
Summary: Inertial effects in fluctuations of the work to sustain a system in a nonequilibrium steady state are discussed for a dragged massive Brownian particle model using a path integral approach. We calculate the work distribution function in the laboratory and comoving frames and prove the asymptotic fluctuation theorem for these works for any initial condition. Important and observable differences between the work fluctuations in the two frames appear for finite times and are discussed concretely for a nonequilibrium steady state initial condition. We also show that for finite times a time oscillatory behavior appears in the work distribution function for masses larger than a nonzero critical value.
MSC:
82C05 | Classical dynamic and nonequilibrium statistical mechanics (general) |
82C35 | Irreversible thermodynamics, including Onsager-Machlup theory |
60J65 | Brownian motion |
Keywords:
inertial effects; critical mass; nonequilibrium work fluctuations and theorem; path integration; laboratory and comoving framesReferences:
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