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In the context of the dynamical evolution in a non-stationary thermal bath,we construct a family of fluctuation relations for the entropy production thatare not verified by the work performed on the system. We exhibit fluctuationrelations which are global versions either of the generalizedFluctuation-Dissipation Theorem around a non-equilibrium diffusion or of theusual Fluctuation-Dissipation Theorem for energy resulting from a pulse oftemperature.

Fluctuation Relations for Diffusions Thermally Driven by a Non-Stationnary Bath