Stochastic Resonance in the Fermi-Pasta-Ulam Chain
Abstract
We consider a damped β-Fermi-Pasta-Ulam chain, driven at one boundary subjected to stochastic noise. It is shown that, for a fixed driving amplitude and frequency, increasing the noise intensity, the system’s energy resonantly responds to the modulating frequency of the forcing signal. Multiple peaks appear in the signal-to-noise ratio, signaling the phenomenon of stochastic resonance. The presence of multiple peaks is explained by the existence of many stable and metastable states that are found when solving this boundary value problem for a semicontinuum approximation of the model. Stochastic resonance is shown to be generated by transitions between these states.
- Publication:
-
Physical Review Letters
- Pub Date:
- January 2009
- DOI:
- 10.1103/PhysRevLett.102.020602
- arXiv:
- arXiv:0809.3604
- Bibcode:
- 2009PhRvL.102b0602M
- Keywords:
-
- 05.40.-a;
- 05.45.-a;
- 73.43.Lp;
- Fluctuation phenomena random processes noise and Brownian motion;
- Nonlinear dynamics and chaos;
- Collective excitations;
- Nonlinear Sciences - Pattern Formation and Solitons;
- Condensed Matter - Statistical Mechanics;
- Nonlinear Sciences - Chaotic Dynamics;
- Physics - Classical Physics
- E-Print:
- doi:10.1103/PhysRevLett.102.020602