Related Experiment Video
Updated: Jun 1, 2026
12:21
Stimulated Stokes and Antistokes Raman Scattering in Microspherical Whispering Gallery Mode Resonators
Published on: April 4, 2016
Resonant activation in piecewise linear asymmetric potentials
Alessandro Fiasconaro1, Bernardo Spagnolo
1Centro Universitario de la Defensa de Zaragoza, Ctra. de Huesca s/n, E-50090 Zaragoza, Spain. afiascon@unizar.es
Summary
This study reveals how potential asymmetry influences resonant activation under combined Gaussian white and dichotomous noise. We observed inversions in mean first passage time and particle velocity, crucial for understanding stochastic dynamics.
Area of Science:
- Statistical Physics
- Nonlinear Dynamics
- Complex Systems
Background:
- Resonant activation is a phenomenon where noise can facilitate transitions over potential barriers.
- Asymmetrical potentials and multiple noise sources introduce complex behaviors in stochastic systems.
Purpose of the Study:
- To numerically investigate the impact of piecewise linear potential asymmetry on resonant activation.
- To analyze the interplay between Gaussian white noise and dichotomous noise in driving stochastic transitions.
Main Methods:
- Numerical analysis of stochastic transitions in an asymmetrical potential.
- Investigation of mean first passage time and mean velocity of Brownian particles.
- Systematic variation of noise parameters (correlation time and amplitude) and potential asymmetry.
Main Results:
- Observed inversion of mean first passage time curves with dichotomous noise correlation time at low thermal noise intensities.
- Identified a maximum in mean particle velocity as a function of dichotomous noise correlation time.
- Found inversion of mean velocity and weak current reversal in a miniratchet system due to potential asymmetry.
Conclusions:
- Potential asymmetry significantly alters resonant activation dynamics under combined noise.
- The observed phenomena, including inversions and current reversal, are robust and experimentally verifiable.
- Findings provide insights into controlling and predicting stochastic transport in asymmetric systems.
Related Concept Videos
02:16Resonance and Hybrid Structures
According to the theory of resonance, if two or more Lewis structures with the same arrangement of atoms can be written for a molecule, ion, or radical, the actual distribution of electrons is an average of that shown by the various Lewis structures.
Resonance Structures and Resonance Hybrids
The Lewis structure of a nitrite anion (NO2−) may actually be drawn in two different ways, distinguished by the locations of the N–O and N=O bonds.
Resonance Structures and Resonance Hybrids
The Lewis structure of a nitrite anion (NO2−) may actually be drawn in two different ways, distinguished by the locations of the N–O and N=O bonds.
01:23Parallel Resonance
The parallel RLC circuit is an arrangement where the resistor (R), inductor (L), and capacitor (C) are all connected to the same nodes and, as a result, share the same voltage across them. The parallel RLC circuit is analyzed in terms of admittance (Y), which reflects the ease with which current can flow. The admittance is given by:
01:14Sound 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...
01:12Double Resonance Techniques: Overview
Double resonance techniques in Nuclear Magnetic Resonance (NMR) spectroscopy involve the simultaneous application of two different frequencies or radiofrequency pulses to manipulate and observe two distinct nuclear spins. One important application of double resonance is spin decoupling, which selectively suppresses coupling with one type of nucleus while observing the NMR signal from another nucleus, simplifying the spectrum and enhancing resolution.
Spin decoupling is usually achieved by...
Spin decoupling is usually achieved by...
01:26Resonance in an AC Circuit
The property of an inductor makes it resist any change in the current passing through it, while the property of a capacitor is to build up the charge across its terminals. Hence, if an inductor and capacitor are connected in series, they have opposite effects on the relative phase between current and voltage. The current through the circuit undergoes forced oscillation at the frequency of the source. The resistance term in an R-L-C circuit acts as a damping term because power is dissipated...
01:08IR Spectrum Peak Splitting: Symmetric vs Asymmetric Vibrations
Identical bonds within a polyatomic group can stretch symmetrically (in-phase) or asymmetrically (out-of-phase). Similar to hydrogen bonding, these vibrations also influence the shape of the IR peak. Generally, asymmetric stretching frequencies are higher than symmetric stretching frequencies. For example, primary amines exhibit two distinct IR peaks between 3300–3500 cm−1 corresponding to the symmetric and asymmetric N-H stretching, while secondary amines exhibit a single stretching vibration...