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Nonlinear oscillations, chaotic dynamics, and stability analysis of bilayer graphene-like structures
Saumen Acharjee1, Nimisha Dutta1, Reeta Devi1
1Department of Physics, Dibrugarh University, Dibrugarh 786 004, Assam, India.
Chaos (Woodbury, N.Y.)
|February 1, 2023
Summary
This study explores nonlinear oscillations and chaos in bilayer graphene-like materials. Perturbations reveal that hydrofluorinated graphene (HFG) shows chaos with strong forces, while hexagonal boron nitride (h-BN) exhibits chaos with weak forces.
Area of Science:
- Condensed Matter Physics
- Materials Science
- Nonlinear Dynamics
Background:
- Bilayer graphene-like structures exhibit complex behaviors under external influences.
- Understanding their potential energy surfaces (PES) is crucial for predicting dynamics.
Purpose of the Study:
- Investigate nonlinear oscillations and chaotic dynamics in perturbed bilayer graphene-like systems.
- Analyze the influence of perturbation strength and atomic arrangements on system stability and behavior.
Main Methods:
- Calculated potential energy surfaces (PES) for co-aligned and counter-aligned atomic arrangements.
- Employed Poincaré surface of section, power spectra, and Lyapunov exponents to study dynamics.
- Analyzed equilibrium points using Jacobian stability conditions.
Main Results:
- PES is highly sensitive to perturbations in all studied bilayer graphene-like systems.
- Bilayer hydrofluorinated graphene (HFG) shows chaotic oscillations under strong perturbation.
- Bilayer hexagonal boron nitride (h-BN) exhibits chaotic signatures even with weak perturbation.
- A transition from regular to quasiperiodic and chaotic oscillations was observed, tunable by perturbation strength.
Conclusions:
- The study reveals distinct chaotic dynamics in HFG and h-BN based on perturbation intensity.
- Perturbation strength is a key factor in tuning the transition from regular to chaotic behavior in these materials.
- Jacobian analysis identified stable nodes and local bifurcations, offering insights into system stability.
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