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Fluctuations in nonequilibrium systems and broken supersymmetry
Authors:Michael F. Zimmer
Affiliation:(1) Department of Physics, Materials Research Laboratory, and Beckman Institute University of Illinois at Urbana-Champaign, Illinois, USA
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.
Keywords:Fluctuation-dissipation theorem  nonequilibrium systems  supersymmetry  Ward-Takahashii identity  detailed balance  driven diffusive system  nonpotential forces  BRS symmetry  mode coupling
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