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- W2028081742 abstract "The time-dependent probability density function of a system evolving towards a stationary state exhibits an oscillatory behavior if the eigenvalues of the corresponding evolution operator are complex. The frequencies omega_n, with which the system reaches its stationary state, correspond to the imaginary part of such eigenvalues. If the system is further driven by a small and oscillating perturbation with a given frequency omega, we formally prove that the linear response to the probability density function is enhanced when omega = omega_n. We prove that the occurrence of this phenomenon is characteristic of systems that reach a non-equilibrium stationary state. In particular we obtain an explicit formula for the frequency-dependent mobility in terms of the of the relaxation to the stationary state of the (unperturbed) probability current. We test all these predictions by means of numerical simulations considering an ensemble of non-interacting overdamped particles on a tilted periodic potential." @default.
- W2028081742 created "2016-06-24" @default.
- W2028081742 creator A5062553820 @default.
- W2028081742 date "2012-05-22" @default.
- W2028081742 modified "2023-09-24" @default.
- W2028081742 title "Resonant response in nonequilibrium steady states" @default.
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- W2028081742 doi "https://doi.org/10.1103/physreve.85.051130" @default.
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