Nucleation of breathers via stochastic resonance in nonlinear lattices

Abstract

By applying a staggered driving force in a prototypical discrete model with a quartic nonlinearity, we demonstrate the spontaneous formation and destruction of discrete breathers with a selected frequency due to thermal fluctuations. The phenomenon exhibits the striking features of stochastic resonance (SR): a nonmonotonic behavior as noise is increased and breather generation under subthreshold conditions. The corresponding peak is associated with a matching between the external driving frequency and the breather frequency at the average energy given by ambient temperature.

Added references, figure 5 modified to include new data

References in corpus (4)

• Discrete breathers in dissipative lattices
• Pattern formation and localization in the forced-damped FPU lattice
• Stochastic Resonance in the Fermi-Pasta-Ulam Chain
• Excitation of travelling multibreathers in anharmonic chains

Cited by in corpus (10)

• Emergent Bistability and Switching in a Nonequilibrium Crystal
• Multibreather and vortex breather stability in Klein--Gordon lattices: Equivalence between two different approaches
• Dynamics and stability of a discrete breather in a harmonically excited chain with vibro-impact on-site potential
• ac-locking of thermally-induced sine-Gordon breathers
• Stability of non-time-reversible phonobreathers
• Impulse-induced generation of stationary and moving discrete breathers in nonlinear oscillator networks
• Nonlinear bandgap transmission by discrete rogue waves induced in a pendulum chain
• Discrete breathers in ${\varphi }^4$ and related models
• Charge coupling to anharmonic lattice excitations in a layered crystal at 800K
• Recurrence in a periodically driven and weakly damped Fermi-Pasta-Ulam-Tsingou chain