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Resonant response in nonequilibrium steady states
1Facultad de Ciencias, Universidad Autónoma del Estado de Morelos, Avenida Universidad 1001, Colonia Chamilpa, 62209, Cuernavaca Morelos, Mexico. raulsg@uaem.mx
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 26, 2012
Summary
Systems in nonequilibrium stationary states exhibit enhanced linear response when driven by perturbations at specific frequencies. This phenomenon, linked to complex eigenvalues, was demonstrated using simulations of particles in a tilted periodic potential.
Area of Science:
- Statistical Mechanics
- Non-equilibrium Physics
- Complex Systems
Background:
- Systems evolving towards stationary states can exhibit oscillatory behavior in their probability density functions.
- This oscillation is determined by the imaginary parts of the eigenvalues of the system's evolution operator.
Purpose of the Study:
- To formally prove that linear response is enhanced when an external oscillating perturbation matches these intrinsic frequencies.
- To demonstrate that this enhancement is a characteristic of nonequilibrium stationary states.
- To derive a formula for frequency-dependent mobility.
Main Methods:
- Formal mathematical proof of linear response enhancement.
- Derivation of frequency-dependent mobility formula.
- Numerical simulations using an ensemble of noninteracting overdamped particles in a tilted periodic potential.
Main Results:
- Linear response of the probability density function is significantly enhanced when the driving perturbation frequency matches intrinsic system frequencies (ω=ωn).
- This resonance phenomenon is exclusive to nonequilibrium stationary states.
- An explicit formula for frequency-dependent mobility was derived and validated.
Conclusions:
- The study confirms resonance phenomena in the linear response of systems in nonequilibrium stationary states.
- The findings provide a method to characterize these states through their response to external perturbations.
- The derived mobility formula offers insights into transport properties in such systems.
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