Reflection of Nonlinear Waves in Crystal Lattices at Finite Temperatures, and Dynamic Fracture

Abstract

Reflection of nonlinear waves, which are excited by impulsive forces, in one-dimensional crystal lattices at finite temperatures, and dynamic fracture of the lattice induced by the reflection are numerically analyzed using the basic statistical-mechanical equations proposed in the preceding paper. Enhancement of the strength of the reflected waves, and typical fracture patterns are found. Their physical implications are also briefly discussed. The equations are, therefore, confirmed to be valid for analyzing such nonequilibrium phenomena.