Abstract
We present a comprehensive study of the symmetries of the generating functionalsof generic Langevin processes with multiplicative colored noise. We treat bothMartin–Siggia–Rose–Janssen–De Dominicis and supersymmetric formalisms. We summarizethe relations between observables that they imply including fluctuation relations,fluctuation–dissipation theorems, and Schwinger–Dyson equations. Newtonian dynamicsand their invariances follow in the vanishing friction limit.
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More From: Journal of Statistical Mechanics: Theory and Experiment
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