Commun. Comput. Phys., 11 (2012), pp. 1618-1642. |
Monte Carlo Simulations of Elastic Scattering with Applications to DC and High Power Pulsed Magnetron Sputtering for Ti_3 Si C_2 Jurgen Geiser ^{1*}, Sven Blankenburg ^{2} 1 Department of Mathematics, Humboldt-Universitat zu Berlin, D-10099 Berlin, Germany.2 Department of Physics, Humboldt-Universitat zu Berlin, D-10099 Berlin, Germany. Received 21 February 2011; Accepted (in revised version) 27 May 2011 Available online 9 January 2012 doi:10.4208/cicp.210211.270511a Abstract We simulate the particle transport in a thin film deposition process made by PVD (physical vapor deposition) and present several models for projectile and target collisions in order to compute the mean free path and the differential cross section (angular distribution of scattered projectiles) of the scattering process. A detailed description of collision models is of the highest importance in Monte Carlo simulations of high power impulse magnetron sputtering and DC sputtering. We derive an equation for the mean free path for arbitrary interactions (cross sections) that includes the relative velocity between the particles. We apply our results to two major interaction models: hard sphere interaction & screened Coulomb interaction. Both types of interaction separate DC sputtering from HIPIMS. AMS subject classifications: 80M31, 60J20, 65N74, 65C05, 65C35, 65C40Notice: Undefined variable: pac in /var/www/html/issue/abstract/readabs.php on line 164 Key words: DC sputtering, MAX-phases, mean free path, particle in cell Monte Carlo collisions, Monte Carlo Markov chain. *Corresponding author. Email: geiser@mathematik.hu-berlin.de (J. Geiser), sven.blankenburg@physik.hu-berlin.de (S. Blankenburg) |