Symmetries of Langevin processes generating functionals

Camille Aron (1) , Giulio Biroli (2) , Leticia F. Cugliandolo (1)

1 LPTHE - Laboratoire de Physique Théorique et Hautes Energies
2 IPHT - Institut de Physique Théorique - UMR CNRS 3681

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-Jenssen-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.

Domaines: Mécanique statistique [cond-mat.stat-mech]; Matière Molle [cond-mat.soft]

Camille Aron, Giulio Biroli, Leticia F. Cugliandolo. Symmetries of Langevin processes generating functionals. 2010. ⟨hal-00519929⟩