Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

Types of Responses of Series RLC Circuits

Types of Responses of Series RLC Circuits

A second-order differential equation characterizes a source-free series RLC circuit, marking its distinct mathematical representation. The complete solution of this equation is a blend of two unique solutions, each linked to the circuit's roots expressed in terms of the damping factor and resonant frequency.

Transient and Steady-state Response

Transient and Steady-state Response

In control systems, test signals are essential for evaluating performance under various conditions. The ramp function is effective for systems undergoing gradual changes, while the step function is suitable for assessing systems facing sudden disturbances. For systems subjected to shock inputs, the impulse function is the most appropriate test signal.
These test signals are integral in designing control systems to exhibit two key performance aspects: transient response and steady-state response.

RL Circuit with Source

RL Circuit with Source

When an RL (Resistor-Inductor) circuit is connected to a DC source, the complete response of the circuit can be divided into two parts: the transient response and the steady-state response.
The transient response of the circuit is its temporary reaction to the sudden application of the DC source. This response is characterized by a current that exponentially decays to zero as time approaches infinity. During this transitional period, the inductor behaves like a short circuit, causing the source...

Sound Waves: Resonance

Sound Waves: Resonance

Resonance is produced depending on the boundary conditions imposed on a wave. Resonance can be produced in a string under tension with symmetrical boundary conditions (i.e., has a node at each end). A node is defined as a fixed point where the string does not move. The symmetrical boundary conditions result in some frequencies resonating and producing standing waves, while other frequencies interfere destructively. Sound waves can resonate in a hollow tube, and the frequencies of the sound...

Series RLC Circuit without Source

Series RLC Circuit without Source

Within the field of electrical circuits, source-free RLC circuits present an intriguing domain. These circuits comprise a series arrangement of a resistor, inductor, and capacitor, operating independently of external energy sources. Their initiation hinges upon utilizing the initial energy stored within the capacitor and inductor to instigate their functionality. Their mathematical equation, a second-order differential equation, sets these circuits apart. This equation captures how the...

Free Energy Changes for Nonstandard States

Free Energy Changes for Nonstandard States

The free energy change for a process taking place with reactants and products present under nonstandard conditions (pressures other than 1 bar; concentrations other than 1 M) is related to the standard free energy change according to this equation:

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by

Same author

Quasi-stationary time asymmetry on topologically irreversible Markov chains.

Chaos (Woodbury, N.Y.)·2025

Same author

Time-irreversibility test for random-length time series: The matching-time approach applied to DNA.

Chaos (Woodbury, N.Y.)·2022

Same author

Estimating entropy rate from censored symbolic time series: A test for time-irreversibility.

Chaos (Woodbury, N.Y.)·2021

Same author

Noise-induced rectification in out-of-equilibrium structures.

Physical review. E·2019

Same author

Effective diffusion coefficient in tilted disordered potentials: optimal relative diffusivity at a finite temperature.

Physical review. E, Statistical, nonlinear, and soft matter physics·2014

Same author

Normal-to-anomalous diffusion transition in disordered correlated potentials: from the central limit theorem to stable laws.

Physical review. E, Statistical, nonlinear, and soft matter physics·2014

Search research articles

Related Experiment Video

Updated: May 18, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

Published on: December 4, 2017

Resonant response in nonequilibrium steady states.

R Salgado-García¹

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.

More Related Videos

Stimulated Stokes and Antistokes Raman Scattering in Microspherical Whispering Gallery Mode Resonators

Stimulated Stokes and Antistokes Raman Scattering in Microspherical Whispering Gallery Mode Resonators

Published on: April 4, 2016

Resonance Raman Spectroscopy of Extreme Nanowires and Other 1D Systems

Resonance Raman Spectroscopy of Extreme Nanowires and Other 1D Systems

Published on: April 28, 2016

Related Experiment Videos

Last Updated: May 18, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

Published on: December 4, 2017

Stimulated Stokes and Antistokes Raman Scattering in Microspherical Whispering Gallery Mode Resonators

Stimulated Stokes and Antistokes Raman Scattering in Microspherical Whispering Gallery Mode Resonators

Published on: April 4, 2016

Resonance Raman Spectroscopy of Extreme Nanowires and Other 1D Systems

Resonance Raman Spectroscopy of Extreme Nanowires and Other 1D Systems

Published on: April 28, 2016

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.