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Unified Linear Fluctuation-Response Theory for Non-Equilibrium Markov Processes

An exact, edge-wise spatial decomposition of the non-equilibrium linear response of any Markov jump process into covariances of local dynamical discrepancies Theta_ij = N_ij - R_ij*T_j, giving a single response equality that unifies the fluctuation-dissipation theorem, the fluctuation-response inequalities, and thermodynamic uncertainty relations, and that lets full multi-parameter response gradients be computed from one unperturbed trajectory simulation.

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Unified Linear Fluctuation-Response Theory Arbitrarily Far from Equilibrium Jiming Zheng∗and Zhiyue

This physics letter derives an exact linear-response equality for arbitrary Markov (and more general stochastic) processes arbitrarily far from equilibrium. The response of any trajectory observable …