Symmetries of generating functionals of Langevin processes with colored multiplicative noise
Jul, 201043 pages
Published in:
- J.Stat.Mech. 1011 (2010) P11018
e-Print:
- 1007.5059 [cond-mat.stat-mech]
View in:
Citations per year
Abstract: (arXiv)
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.- fluctuation: dissipation
- Dyson-Schwinger equation
- supersymmetry
- noise
- boundary condition
- Ward-Takahashi identity
- Langevin equation
References(0)
Figures(0)
Loading ...