Hysteretic transition between states of a filled hexagonal magnetic dipole cluster

We analyze the rotational dynamics of six magnetic dipoles of identical strength at the vertices of a regular hexagon with a variable-strength dipole in the center. The seven dipoles spin freely about fixed axes that are perpendicular to the plane of the hexagon, with their dipole moments directed parallel to the plane. Equilibrium dipole orientations are calculated as a function of the relative strength of the central dipole. Small-amplitude perturbations about these equilibrium states are calculated in the absence of friction and are compared with analytical results in the limit of zero and infinite central dipole strength. Normal modes and frequencies are presented. Bifurcations are seen at two critical values of the central dipole strength, with bistability between these values.

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Hysteretic transition between states of a filled hexagonal magnetic dipole cluster

Cited by 4 publications

References 17 publications

Insight into heterogeneous catalysis in a Ree-Eyring nanofluid flow influenced by a magnetic dipole with irreversibility analysis

Insight into heterogeneous catalysis in a Ree-Eyring nanofluid flow influenced by a magnetic dipole with irreversibility analysis

Comment on “Hysteretic transition between states of a filled hexagonal magnetic dipole cluster”

Normal-mode oscillations for the circular and dipolar states of a filled hexagonal magnetic dipole cluster

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