Publication : t10/269

Symmetries of generating functionals of Langevin processes with colored multiplicative noise

Aron C. (Laboratoire de Physique Théorique et Hautes Energies (LPTHE), Université Pierre et Marie Curie, Paris VI, 4 pl. Jussieu, 75005 Paris, FRANCE)
Biroli G. (CEA, IPhT (Institut de Physique Théorique), F-91191 Gif-sur-Yvette, France)
Cugliandolo L.F. (Laboratoire de Physique Théorique et Hautes Energies (LPTHE), Université Pierre et Marie Curie, Paris VI, 4 pl. Jussieu, 75005 Paris, FRANCE)
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.
Année de publication : 2010
Revue : J. Stat. Mech. 2010 P11018 (2010)
DOI : 10.1088/1742-5468/2010/11/P11018
Preprint : arXiv:1007.5059v2
Langue : Anglais

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