Symmetries of generating functionals of Langevin processes with colored multiplicative noise
Statistical Mechanics
2010-11-24 v2 Soft Condensed Matter
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.
Keywords
Cite
@article{arxiv.1007.5059,
title = {Symmetries of generating functionals of Langevin processes with colored multiplicative noise},
author = {Camille Aron and Giulio Biroli and Leticia F. Cugliandolo},
journal= {arXiv preprint arXiv:1007.5059},
year = {2010}
}
Comments
44 pages