Stochastic resonance in a periodic potential system under a constant force

1993 ◽  
Vol 174 (3) ◽  
pp. 247-249 ◽  
Author(s):  
Gang Hu
Keyword(s):  
Stochastic Resonance ◽  
Periodic Potential ◽  
Constant Force ◽  
Potential System

Stochastic resonance in a periodic potential system driven by cross-correlated noises and periodic signal

2019 ◽  
Vol 33 (28) ◽  
pp. 1950338
Author(s):  
Yongfeng Guo ◽  
Xiaojuan Lou ◽  
Qiang Dong ◽  
Linjie Wang
Keyword(s):  
Stochastic Resonance ◽  
Periodic Potential ◽  
Signal To Noise Ratio ◽  
Gaussian White Noise ◽  
Signal Amplitude ◽  
Periodic Signal ◽  
Gaussian Colored Noise ◽  
Potential System ◽  
Noise Cross Correlation ◽  
Correlated Noises

In this paper, the stochastic resonance (SR) in a periodic potential system driven by cross-correlated noises and periodic signal is investigated. The signal-to-noise ratio (SNR) is used to characterize the SR. Using the algorithm of fourth-order Runge–Kutta, we obtain the curves of SNR for different parameters. The effects of some system parameters, additive Gaussian white noise and multiplicative Gaussian colored noise intensity on SR are characterized by analyzing SNR curves. When increasing system parameter and noise cross-correlation strength in SNR-D, the SR of the system can be enhanced. However, the SR will be weakened by increasing other parameters. Otherwise, the phenomena in SNR-Q are opposite to in SNR-D when increasing signal amplitude and correlation time.

Ratchet Effect and Particle Diffusion in an Underdamped Inhomogeneous Periodic Potential System

2020 ◽  
Vol 7 (1) ◽  
pp. 01-11
Author(s):  
Shantu Saikia ◽  
◽  
Francis Iawphniaw
Keyword(s):  
Periodic Potential ◽  
Thermal Fluctuations ◽  
Particle Dynamics ◽  
Particle Diffusion ◽  
Biological Processes ◽  
Ratchet Effect ◽  
External Bias ◽  
Potential System ◽  
Constructive Work ◽  
Random Fluctuations

Thermal fluctuations or noise assisted particle dynamics in a driven underdamped inhomogeneous periodic potential system is studied. This forms an archetypal model to study different Physical and Biological processes in the microscopic domain. The particles are shown to exhibit directed transport aided by these fluctuations without the application of any external bias. This phenomenon, also known as ratchet effect, is a counterintuitive phenomenon in which systems in the microscopic domain harnesses the energy of the random fluctuations to do constructive work. Also in the presence of random thermal fluctuations or noise, the particles undergo diffusion, the amount of which can be controlled by controlling the different parameters of the system. This can have important technological applications.

SYNCHRONIZATION AND TRANSPORT IN AN OSCILLATING PERIODIC POTENTIAL

2011 ◽  
Vol 11 (02n03) ◽  
pp. 461-474 ◽  
Author(s):  
FELIX MÜLLER ◽  
PAWEL ROMANCZUK ◽  
LUTZ SCHIMANSKY-GEIER
Keyword(s):  
Periodic Potential ◽  
Effective Diffusion ◽  
Constant Force ◽  
Mean Velocity ◽  
Potential Oscillations ◽  
Brownian Particles ◽  
Oscillating Potential ◽  
The Mean ◽  
Analytical Expressions ◽  
Low Dispersion

We study the motion of overdamped Brownian particles in a periodic potential with a temporally oscillating amplitude. First we investigate diffusive motion in the untitled potential. Furthermore, if a constant force is applied, the oscillating potential induces a synchronized motion. The deterministic dynamics becomes in resonance with the potential oscillations. This dynamics gives rise to a transport with extremely low dispersion. We distinguish slow and fast oscillatory driving and give analytical expressions for the mean velocity and effective diffusion.

scholarly journals EFFICIENCY AND CURRENT REVERSALS IN SPATIALLY INHOMOGENEOUS RATCHETS

2000 ◽  
Vol 14 (15) ◽  
pp. 1585-1591 ◽  
Author(s):  
DEBASIS DAN ◽  
A. M. JAYANNAVAR ◽  
MANGAL C. MAHATO
Keyword(s):  
Friction Coefficient ◽  
Periodic Potential ◽  
Inhomogeneous System ◽  
Noise Strength ◽  
Spatially Inhomogeneous ◽  
Potential System ◽  
Maximum Current ◽  
Spatially Varying

Efficiency of generation of net unidirectional current in an adiabatically driven symmetric periodic potential system is studied. The efficiency shows a maximum, in the case of an inhomogeneous system with spatially varying periodic friction coefficient, as a function of temperature. The ratchet is not most efficient when it gives maximum current. The direction of current may also be reversed as a function of noise strength when, instead, an asymmetric periodic potential is considered.

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