Modelling and Analysis of Bifurcation Dynamics of Two Coupled Pendulums with a Magnetic Forcing

Polczyński, Krystian; Wijata, Adam; Wasilewski, Grzegorz; Kudra, Grzegorz; Awrejcewicz, Jan

doi:10.1007/978-3-030-23692-2_19

Cited by 6 publications

(2 citation statements)

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“…where m is the mass of pendulum ball, k is the spring constant, l is the pendulum length, θ i (i = 1, 2)is the angle deviated from the equilibrium position (θ 0 = 0). Accordingly, the dynamical equations of motion can be derived [30][31][32][33]:…”

Section: Cp Modelmentioning

confidence: 99%

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Terahertz magnetic excitation in antiferromagnets: atomistic spin simulations versus a coupled pendulum model

Zheng¹,

Chen²,

Zhou³

et al. 2022

J. Phys.: Condens. Matter

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Understanding and manipulating of the antiferromagnetic ultrafast spin dynamics in antiferromagnets (AFMs) is a crucial importance issue because of the promising applications in terahertz (THz) spintronic devices. In this study, an analytical theory extended from the classic coupled pendulum model has been developed to describe the intrinsic magnetic excitation of AFMs. The derived frequency dispersion of the antiferromagnetic resonances has been further checked by using the atomistic-level Landau-Lifshitz-Gilbert simulations. We show that the rutile crystalline antiferromagnet MnF2 possess two separate resonance modes at low magnetic fields: high frequency mode with right-handed polarization and low frequency mode with left-handed polarization. In the absence of magnetic field, these two resonance modes could degenerate into a single resonance state. When the applied magnetic field is higher than the spin-flip field, the system behaves a quasi-ferromagnetic mode. Both quantitative and qualitative agreement with atomistic simulation results confirm the theoretical picture of the antiferromagnetic resonance dynamics. This study provides a simple but physical understanding of the ultrafast dynamics of antiferromagnetic excitations.

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Section: Cp Modelmentioning

confidence: 99%

“…It is noticed from equation (3a) that the frequency ω B is higher than ω A . Physically, the in-phase and anti-phase resonance states strongly depend on the initial phase difference between the two pendulums [30][31][32][33].…”

Section: Cp Modelmentioning

confidence: 99%