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Asymmetric probability densities in symmetrically modulated bistable devices.
1Dipartimento di Fisica, and Istituto Nazionale di Fisica Nucleare, Universitá di Perugia, Italy.
Summary
Researchers demonstrate statistical confinement of Brownian particles in a double-well potential using correlated periodic and random signals. This robust gating mechanism offers potential for resonant localization and technological applications.
Area of Science:
- Statistical mechanics
- Nonlinear dynamics
- Stochastic processes
Background:
- Brownian motion in double-well potentials is a fundamental model in statistical physics.
- Controlling particle behavior in such systems is crucial for various applications.
Purpose of the Study:
- To investigate the statistical confinement of a Brownian particle in a symmetric double-well potential.
- To explore a novel gating mechanism using correlated periodic and random signals.
Main Methods:
- Applying two periodic input signals (tilting minima, modulating barrier height).
- Introducing correlated additive and multiplicative random signals from a single source.
- Analyzing the resulting particle dynamics and confinement properties.
Main Results:
- Achieved robust statistical confinement of the Brownian particle into a single well.
- Demonstrated that the gating mechanism is more stable than alternatives like biharmonic rocking.
- Identified resonant localization by tuning input signal parameters (correlation time, phase-time lag, amplitudes).
Conclusions:
- The proposed method provides effective control over particle localization in double-well systems.
- The gating mechanism exhibits robustness and potential for technological implementation.
- Resonant localization offers a tunable pathway for asymmetric confinement.