On a response formula and its interpretation

We present a physically inspired generalization of equilibrium response formulae, the fluctuation-dissipation theorem, to Markov jump processes possibly describing interacting particle systems out-of-equilibrium. Here, the time-dependent perturbation adding a potential V with small amplitude h(t) changes the rates W(x,y) for the transition x --> y into W_t(x,y) = W(x,y) exp {h(t)[bV(y)-aV(x)]} as first considered by Diezemann; a,b are constants. We observe that the linear response relation shows a reciprocity symmetry in the nonequilibrium stationary regime and we interpret the connection with dynamical fluctuation theory.

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