Abstract
The fluctuation-dissipation theorem is not expected to hold for systems that either violate detailed balance or have time-dependent or nonpotential forces. Therefore the relation between response and correlation functions should have contributions due to the nonequilibrium nature. An explicit formula for such a contribution is calculated, which in the present derivation appears as a historydependent term. These relations are the Ward-Takahashi identities of a supersymmetric formulation of the Langevin models, and the new term results from a broken supersymmetry.
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Zimmer, M.F. Fluctuations in nonequilibrium systems and broken supersymmetry. J Stat Phys 73, 751–764 (1993). https://doi.org/10.1007/BF01054348
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DOI: https://doi.org/10.1007/BF01054348