Related Experiment Video
Updated: Apr 5, 2026
09:43
Fine-tuning the Size and Minimizing the Noise of Solid-state Nanopores
Published on: October 31, 2013
14.3K
Nanopore Current Oscillations: Nonlinear Dynamics on the Nanoscale
Brittany Hyland1, Zuzanna S Siwy1,2, Craig C Martens1
1†Department of Chemistry, University of California-Irvine Irvine, California 92697-2025, United States.
The Journal of Physical Chemistry Letters
|August 12, 2015
Summary
We developed a nonlinear dynamical model for voltage-induced current fluctuations in nanoscale systems. This model accurately describes experimental data by combining deterministic and stochastic forces in a bistable oscillator.
Area of Science:
- Physics
- Nonlinear Dynamics
- Nanotechnology
Background:
- Nanoscale systems exhibit complex behaviors relevant to nonlinear dynamics.
- Understanding voltage-induced current fluctuations is crucial for nanopore applications.
Purpose of the Study:
- To develop a theoretical model for nanoscale nonlinear dynamical systems.
- To describe voltage-induced current fluctuations through a single nanopore using nonlinear dynamics.
Main Methods:
- Theoretical modeling of an experimentally realized nanoscale system.
- Development of a phenomenological nonlinear model.
- Utilizing a two-dimensional deterministic nonlinear bistable oscillator with dissipation and random noise.
Main Results:
- The model reproduces the qualitative behavior of experimental data.
- The interplay between deterministic and stochastic forces is essential for accurate description.
- The system exhibits general universal behavior of a nonlinear dynamical system.
Conclusions:
- A simple nonlinear model can effectively describe complex nanoscale phenomena.
- Multidimensionality and the combination of deterministic and stochastic forces are key.
- This work provides insights into the nonlinear dynamics of nanopore systems.
Related Concept Videos
01:30Oscillations In An LC Circuit
3.4K
An idealized LC circuit of zero resistance can oscillate without any source of emf by shifting the energy stored in the circuit between the electric and magnetic fields. In such an LC circuit, if the capacitor contains a charge q before the switch is closed, then all the energy of the circuit is initially stored in the electric field of the capacitor. This energy is given by
3.4K
01:04Oscillations about an Equilibrium Position
7.3K
Stability is an important concept in oscillation. If an equilibrium point is stable, a slight disturbance of an object that is initially at the stable equilibrium point will cause the object to oscillate around that point. For an unstable equilibrium point, if the object is disturbed slightly, it will not return to the equilibrium point. There are three conditions for equilibrium points—stable, unstable, and half-stable. A half-stable equilibrium point is also unstable, but is named so...
7.3K
01:07Damped Oscillations
7.6K
In the real world, oscillations seldom follow true simple harmonic motion. A system that continues its motion indefinitely without losing its amplitude is termed undamped. However, friction of some sort usually dampens the motion, so it fades away or needs more force to continue. For example, a guitar string stops oscillating a few seconds after being plucked. Similarly, one must continually push a swing to keep a child swinging on a playground.
Although friction and other non-conservative...
Although friction and other non-conservative...
7.6K
01:16Non-equilibrium in the Cell
5.7K
An important concept in studying metabolism and energy is that of chemical equilibrium. Most chemical reactions are reversible. They can proceed in both directions, releasing energy into their environment in one direction, and absorbing it from the environment in the other direction. The same is true for the chemical reactions involved in cell metabolism, such as the breaking down and building up of proteins into and from individual amino acids, respectively. Reactants within a closed system...
5.7K
01:06Forced Oscillations
8.3K
When an oscillator is forced with a periodic driving force, the motion may seem chaotic. The motions of such oscillators are known as transients. After the transients die out, the oscillator reaches a steady state, where the motion is periodic, and the displacement is determined.
8.3K
01:13Torque On A Current Loop In A Magnetic Field
6.5K
The most common application of magnetic force on current-carrying wires is in electric motors. These consist of loops of wire, which are placed between the magnets with a magnetic field. When current flows through the loops, the magnetic field applies torque, which causes the shaft to rotate, thus converting electrical energy to mechanical energy.
Consider a rectangular current-carrying loop containing N turns of wire, placed in a uniform magnetic field. The net force on a current-carrying loop...
Consider a rectangular current-carrying loop containing N turns of wire, placed in a uniform magnetic field. The net force on a current-carrying loop...
6.5K