Fig. 4: Size dependence of kink-antikink pairs and the soliton wavelength.
From: Programmable and robust static topological solitons in mechanical metamaterials
a Number of kink-antikink pairs as a ceiling function of the system size. The step length is equal to the theoretical period \(T\). The characteristic length to permit a stable kink-antikink pair is \({N}_{{\rm{c}}}=7\). Beyond this, a remarkable size-dependence arises. b Wavelength versus system size in experiments and simulations. The simulated behavior of a finite system gradually approaches that of the continuous model. Fitting the simulated data by \({\lambda }_{{N}_{x}}=({N}_{x}-{N}_{{\rm{b}}})/{\mathcal{N}}\) yields the depth of the boundary effects \({N}_{{\rm{b}}}=4\).
