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Dynamical states, stochastic resonance, and ratchet effect in a biharmonically driven sinusoidal potential
W L Reenbohn1, Mangal C Mahato1
1Department of Physics, North-Eastern Hill University, Shillong-793022, India.
Summary
A low-amplitude biharmonic drive creates two stable states for an underdamped particle in a sinusoidal potential. These states enable both stochastic resonance and the ratchet effect, especially at lower temperatures.
Area of Science:
- Physics
- Nonlinear Dynamics
- Statistical Mechanics
Background:
- Underdamped particle dynamics in periodic potentials are fundamental in various physical systems.
- External driving forces can induce complex behaviors, including noise-induced phenomena.
- Understanding temperature effects on dynamical states is crucial for controlling system behavior.
Purpose of the Study:
- To investigate the emergence of stable dynamical states in a sinusoidal potential driven by a biharmonic field.
- To explore the simultaneous occurrence of stochastic resonance and the ratchet effect.
- To determine the influence of temperature on these phenomena and their interplay.
Main Methods:
- Simulations of an underdamped particle in a sinusoidal potential subjected to a low-amplitude biharmonic external field.
- Analysis of particle trajectories and their stability at varying temperatures.
- Parameter space exploration to identify conditions for stochastic resonance and ratchet effect.
Main Results:
- Two stable dynamical states naturally emerge under specific biharmonic driving conditions.
- These states are stable at low temperatures and exhibit transitions as temperature increases.
- Simultaneous observation of stochastic resonance and the ratchet effect is achieved through careful selection of the biharmonic drive.
- The ratchet effect is robust across a wide parameter range, while stochastic resonance is confined to a specific subdomain.
Conclusions:
- The presence of two stable dynamical states is essential for observing stochastic resonance in this system.
- The biharmonic drive provides a mechanism to induce both the ratchet effect and stochastic resonance.
- Temperature plays a critical role in the stability of dynamical states and the manifestation of these phenomena.
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