Scaling laws in fragmentation kinetics

We analyze scaling laws in fragmentation kinetics for mass and velocities of debris report a new quantity which we call “shattering degree”. To check the universality laws, investigate collisions clusters comprised atoms or elementary blocks with very different interaction potentials. Namely, study Lennard-Jones (L-J), Tersoff modified L-J potentials force associated Johnson–Kendall–Roberts (JKR) model. They include short, middle long-ranged inter-particle interactions also descriptions both inter-atomic macroscopic adhesive bodies interactions. perform comprehensive molecular dynamics simulations observe all four size velocity distribution. Additionally, reveal universal shattering degree, quantifies fraction monomers (atoms blocks) debris; it holds true classify by outcome develop statistical theory, provides qualitative explanation observed behavior.