New Techniques for Simulation of Ion Implantation by Numerical Integration of Boltzmann Transport Equation

Abstract

We observe a relation between closed strings tachyons and one-loop instabilities in non-supersymmetric non-commutative gauge theories. In particular we analyze the spectra of type-IIB string theory on C 3 /Z N orbifold singularities and the non-commutative field theory that lives on D3 branes located at the singularity. We find a surprising correspondence between the existence or not of one-loop low-momentum instabilities in the noncommutative field theory and the existence or not of tachyons in the closed string twisted sectors. Moreover, the relevant piece of the non-commutative field theory effective action is suggestive of an exchange of closed string modes. This suggests that non-commutative field theories retain some information about the dynamics of the underlying string configuration. Finally, we also comment on a possible relation between closed string tachyon condensation and field theory tachyon condensation.

Parallel Simulation of Ion Implantation for Multi-Component Targets Using Boltzmann Transport Equation

“…And also, a non-uniform energy grid is adopted in this work. 3) The scattering cross-section dσ consists of an elastic nuclear part dσ n and an inelastic electronic part dσ e . The electronic stopping is usually modeled by the LSS theory.…”

“…6) It has been shown that a better agreement with the experiment results can be obtained by using the exact nuclear cross-section. 3) To obtain the differential nuclear scattering cross-section 2π pdp, the impact parameter p is determined from the particle energy E and the scattering angel φ by solving the magic formula proposed by Biersack 7) gram. In this scheme, the master spawns and directs some slave programs which perform the computation.…”

“…To improve the simulated results, we have proposed a non-uniform energy grid momentum matrix and an exact nuclear scattering cross-section in the BTE calculations. 3) In this work, we will show that a parallelization skill is easily employed to simulate the ion implantation of multi-component targets because the interactions between ion and different target atoms can be assumed to be independent and the scattering of ions by different target atoms can be calculated concurrently by different processors. Our simulation program is parallelized in the environment of the Parallel Virtual Machine (PVM) software 4) on the platform of CONVEX SPP-1000 which owns 8 CPUs.…”