Superstatistics is a relatively new proposal to explain the success of non-Boltzmann-Gibbs probability distributions in out-of-equilibrium systems and non-extensive systems. It amounts to a marginalization of the inverse temperature parameter β = 1/kBT over the joint distribution P(x, β|S). In this work we derive a fluctuation–dissipation theorem for Superstatistics which relates the expectations of the superstatistical model and the “pure” MaxEnt model, as well as present an inversion formula for the determination of P(β|S) from P(x|S) using MaxEnt.
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