Title: Remote Nucleation and Stationary Domain Walls via Transition Waves in Tristable Magnetoelastic Lattices

Abstract: We present a tunable magnetoelastic lattice with a multistable onsite potential, focusing on a tristable potential. Through experimental and numerical analysis, we verify the existence of three types of transition waves with distinct amplitudes and velocities. Additionally, we establish the presence of a scaling law that elucidates various characteristics of these transition waves. By manipulating the onsite potential, we investigate the collision dynamics of two transition waves within the system. In chains featuring an asymmetric potential well, the collision of similar transition waves leads to the remote nucleation of a new phase. In chains with a symmetric potential well, the collision of dissimilar transition waves results in the formation of a stationary domain wall