3 problems

Consider a system of interacting molecules whose separation is sufficiently large, and let $C_{ij}$ denote the constants in the corresponding upper bound for the interaction energy…

Let $y=(y_1,\dots,y_M)$ denote the positions of $M$ atoms, let $F_j(y):=-\nabla_{y_j}W(y)$ be the force experienced by the atom at $y_j$, and let $\sigma_{ij}$ be the constants fro…

Let a multi-wall carbon nanotube (MWCNT) be a nanotube composed of multiple adjacent walls. Its thickness may change under applied loads, with adjacent walls interacting through va…