Pre-collision dynamics of short 1D anharmonic chains


Proceedings of the 22nd Samahang Pisika ng Pilipinas Physics Congress, Bohol Tropics Resort, Tagbilaran City, 25–27 Oct 2004, 118.


This paper investigates the dynamics of short one-dimensional lattices having a temperature gradient. An anharmonic potential using the Fermi-Pasta-Ulam (FPU) model was assumed. Three different systems were studied: a uniform chain, a chain with a single impurity, and a diatomic chain. Numerical simulations using the fourth order Runge-Kutta algorithm was used to solve the equations of motion. An impurity in the chain serves as a “thermal barrier”. In the diatomic lattice, an energy excitation is formed even before any particle collision occurs. Here the energy distribution at different times will be shown.