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arXiv · 1007.5059

Symmetries of generating functionals of Langevin processes with colored multiplicative noise

Camille Aron·Giulio Biroli·Leticia F. Cugliandolo
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Abstract

We present a comprehensive study of the symmetries of the generating functionals of generic Langevin processes with multiplicative colored noise. We treat both Martin-Siggia-Rose-Janssen-deDominicis and supersymmetric formalisms. We summarize the relations between observables that they imply including fluctuation relations, fluctuation-dissipation theorems, and Schwinger-Dyson equations. Newtonian dynamics and their invariances follow in the vanishing friction limit.

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Camille Aron, Giulio Biroli, Leticia F. Cugliandolo. 2010-11-22. Symmetries of generating functionals of Langevin processes with colored multiplicative noise. https://doi.org/10.1088/1742-5468%2F2010%2F11%2Fp11018

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