IWNET12
IWNET12
Resonant Response in Non-equilibrium Steady States
R. Salgado-García1
1 Facultad de Ciencias, Universidad Autónoma del Estado de Morelos. Avenida Universidad 1001, Colonia
Chamilpa, 62209, Cuernavaca Morelos, Mexico
Abstract
The time-dependent probability density function of the order parameter of a system evolving towards a station-
ary state exhibits an oscillatory behavior if the eigenvalues of the corresponding evolution operator are complex.
The frequencies ωn, with which the system reaches its stationary state, correspond to the imaginary part of such
eigenvalues. If the system (at the stationary state) is further driven by a small and oscillating perturbation with
a given frequency ω, we formally prove that the linear response to the probability density function is enhanced
when ω = ωn for n N. We prove that the occurrence of this phenomenon is characteristic of systems that are
in a non-equilibrium stationary state. In particular we obtain an explicit formula for the frequency- dependent
mobility in terms 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.
E-mail: r.salgado.garcia@gmail.com

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