FPU physics with nanomechanical graphene resonators: intrinsic relaxation and thermalization from flexural mode coupling

Abstract

Thermalization in nonlinear systems is a central concept in statistical mechanics and has been extensively studied theoretically since the seminal work of Fermi, Pasta and Ulam (FPU). Using molecular dynamics and continuum modeling of a ring-down setup, we show that thermalization due to nonlinear mode coupling intrinsically limits the quality factor of nanomechanical graphene drums and turns them into potential test beds for FPU physics. We find the thermalization rate $\Gamma$ to be independent of radius and scaling as $\Gamma \sim T^{\ast }/{\epsilon }_{\mathrm{pre}}^2$, where $T^{\ast }$ and ${\epsilon }_{\mathrm{pre}}$ are effective resonator temperature and prestrain.

References in corpus (7)

• Nanomechanical Resonators and Their Applications in Biological/Chemical Detection: Nanomechanics Principles
• Intrinsic dissipation in nanomechanical resonators due to phonon tunneling
• Nonlinear Damping in Graphene Resonators
• Frequency tuning, nonlinearities and mode coupling in circular graphene resonators
• Tail resonances of FPU q-breathers and their impact on the pathway to equipartition
• Intrinsic Energy Dissipation in CVD-Grown Graphene Nanoresonators
• A molecular simulation analysis of producing monatomic carbon chains by stretching ultranarrow graphene nanoribbons

Cited by in corpus (13)

• Direct observation of coherent energy transfer in nonlinear micro-mechanical oscillators
• A Review on Flexural Mode of Graphene: Lattice Dynamics, Thermal Conduction, Thermal Expansion, Elasticity, and Nanomechanical Resonance
• Dynamics of 2D Material Membranes
• Time-domain response of atomically thin $\mathrm{Mo}{\mathrm{S}}_2$ nanomechanical resonators
• Nonlinear damping and dephasing in nanomechanical systems
• Strain-dependent damping in nanomechanical resonators from thin $\mathrm{Mo}{\mathrm{S}}_2$ crystals
• Burgers turbulence in the Fermi-Pasta-Ulam-Tsingou chain
• Thermalization of two- and three-dimensional classical lattices
• Valence force model and nanomechanics of single-layer phosphorene
• Diffusion-induced dissipation and mode coupling in nanomechanical resonators
• Eigenmodes and resonance vibrations of 2D nanomembranes -- Graphene and hexagonal boron-nitride
• Random initial data and average shock time in the Fermi-Pasta-Ulam-Tsingou chain
• Switching off energy decay channels in nanomechanical resonators