Derives spectral inequalities bounding the deviation of causal susceptibility from equilibrium FDT reference by entropy production rate and relaxation timescales in driven Markov jump processes.
Therefore ∆χadmits a convergent Taylor expansion nearω= 0, ∆χ(ω) = ∞X n=0 (iω)n n! Mn.(14) 3 The first terms are ∆χ(ω) =M 0 +iωM 1 − ω2 2 M2 +O(ω 3)
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Spectral Fluctuation-Dissipation-Response Inequalities
Derives spectral inequalities bounding the deviation of causal susceptibility from equilibrium FDT reference by entropy production rate and relaxation timescales in driven Markov jump processes.