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Interaction of transition waves with finite boundaries in tristable lattices

Characterize how transition waves in one-dimensional metamaterial lattices with tristable onsite potentials generated by localized magnetic fields interact with finite boundaries, including the conditions that determine reflection, transmission, or transformation at the boundaries.

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Background

Boundary effects critically influence the global state and dynamics of finite metamaterial chains, yet systematic understanding in tristable settings is limited. The authors’ platform enables precise tuning of the onsite potential via external magnets, making it possible to examine boundary-induced phenomena.

The explicit open question targets the mechanisms and outcomes when transition waves reach the ends of finite chains, which is important for designing reconfigurable devices that rely on controlled wave-boundary interactions to set final material states.

References

Key open questions include: (1) How many types of transition waves can such lattices support, and is there a universal law governing their characteristics? (2) How do these waves interact with finite boundaries? (3) What happens when different transition waves collide?

— Remote Nucleation and Stationary Domain Walls via Transition Waves in Tristable Magnetoelastic Lattices (2405.01168 - Ray et al., 2 May 2024) in Introduction (paragraph with “Key open questions include…”)