Symmetries of generating functionals of Langevin processes with colored multiplicative noise

Details Symmetries of generating functionals of Langevin processes with colored multiplicative noise Symmetries of generating functionals of Langevin processes with colored multiplicative noise

2010-07-28

arxiv.org/abs/1007.5059v2

J.Stat.Mech.1011:P11018,2010

Physics

Condensed Matter

Statistical Mechanics

44 pages

Scientific paper

10.1088/1742-5468/2010/11/P11018

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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