Trajectory Termination Research Articles

Dynamic binary collision simulation of focused ion beam milling of deep trenches

A new model is presented for the simulation of focused ion beam milling in two-dimensional targets. It combines dynamic Monte Carlo binary collision simulation with cell-based topography simulation, and includes relaxation of cell densities. In the Monte Carlo model advanced algorithms are used for surface treatment, trajectory termination, and collision partner selection. Cell relaxation is performed by minimization of an energy function written in terms of the grid point coordinates, taking the deviation of the cell area from its relaxed value into account, but neglecting viscous forces. Relaxation is limited to areas where nuclear collisions have occurred during cascade simulation. The code is applied to deep trench formation in Si targets by 50keV Ga focused ion beams. The simulation results indicate the importance of material flow and compare well with experiments.

Evolution of Quantum Phase Space Distribution: a Trajectory-Density Approach

The trajectory-density method of a quantum system is developed by using local Koopman and Frobenius–Perron operators. We propose a new scheme of approximation from two sets of trajectory-density mixed equations. By examining the local generation and termination of trajectories, we show how they can be adopted to the propagation of negative values of the Wigner function even if it starts off positive everywhere.