Parametric Resonance for Enhancing the Rate of Metastable Transition

نویسندگان

چکیده

This work is devoted to quantifying how periodic perturbation can change the rate of metastable transition in stochastic mechanical systems with weak noises. A closed-form explicit expression for approximating provided, and corresponding mechanism also be approximated. Unlike majority existing relevant works, these results apply kinetic Langevin equations high-dimensional potentials nonlinear perturbations. They are obtained based on a higher-order Hamiltonian formalism analysis Freidlin-Wentzell action functional. tool allowed us show that parametric excitation at resonant frequency significantly enhance transitions. Numerical experiments both low-dimensional toy models molecular cluster provided. For latter, we vibrating material appropriately help heal its defect, our theory provides appropriate vibration.

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ژورنال

عنوان ژورنال: Siam Journal on Applied Mathematics

سال: 2022

ISSN: ['0036-1399', '1095-712X']

DOI: https://doi.org/10.1137/21m144966x