Abstract
In this paper we present a Grid application developed for electron transport problems called SALUTE (Stochastic ALgorithms for Ultra-fast Transport in sEmiconductors). We consider a physical model of a femtosecond relaxation of optically excited electrons which interact with phonons in an one-band semicondoctor. The electron-phonon interaction is switched on after a laser pulse creates an initial electron distribution. The Barker-Ferry equation is utilized as a quantum-kinetic model of the process under consideration. Two cases of this process are investigated – with and without an applied electric field. The electric field causes shift in the replicas, population of the semiclassically forbidden regions and influences the broadening and retardation of the electron distribution. The paper describes Grid implementation of these CPU-intensive algorithms. Using this application innovative results for different materials can be obtained. Here we present the first version of SALUTE which is used to obtain innovative results for GaAs materials. The results from a number of tests on MPI-enabled Grid are shown and disscussed.
Supported by the Ministry of Education and Science of Bulgaria under Grant No. I1405/04, by Austrian Science Fund under FWF Project START Y247-N13 and by FP6 INCO Grant 016639/2005 Project BIS21++ .
Chapter PDF
Similar content being viewed by others
References
Kalos, M.A., Whitlock, P.A.: Monte Carlo Methods. Basics, vol. 1. Wiley, New York (1986)
Karaivanova, A.: Monte Carlo Methods for Parallel Processing. PhD dissertation, IPP-BAS (1996)
Smith, L., Bull, M.: Development of mixed mode MPI/OpenMP applications. Scientific Programming, series 9(2/3), 83–98 (2001)
Brooks, B.R., Bruccoleri, R.E., Olafson, B.D., States, D.J., Swaminathan, S., Karplus, M.: CHARMM: A Program for Macromolecular Energy, Minimization, and Dynamic Calculations. J. Comp. Chem. 4, 187–217 (1893)
Rathkopf, J.A.: PMC: A shared short-cut to portable parallel power. Lawrence Livermore National Laboratory, Livermore, CA, UCRL-112311 (1992)
Foster, J., Kesselmann, C.: The Grid: Blueprint for a New Computing Infrastructure. Morgan Kaufmann, San Francisco (1999)
Foster, J., Kesselmann, C., Tuecke, S.: The Anatomy of the Grid. International Journal of Supercomputer Applications 15(3) (2001)
Globus website, http://www.globus.org
Entropia: PC Grid Computing (2002), http://www.entropia.com
Solms, F., Steeb, W.H.: Distributed Monte Carlo integration using CORBA and Java. International Journal of Modern Physics 9(7), 903–915 (1998)
Zhou, M.H.: A Scientific Computing Tool for Parallel Monte Carlo in a Distributed Environment. PhD dissertation, School of Mathematics, University of Southern Mississippi (2000)
Mascagni, M., Seperley, D., Srinivasan, A.: SPRNG: A Scalable Library for Pseudorandom Numbar Generation. ACM Transactions on Mathematical Software (2000)
SPRNG website, http://sprng.cs.fsu.edu
Buyya, R., Chapin, S., DiNucci, D.: Architectural Models for Resource Management in the Grid. In: Buyya, R., Baker, M. (eds.) GRID 2000. LNCS, vol. 1971, pp. 18–35. Springer, Heidelberg (2000)
Rossi, R., Jacoboni, C., Nedjalkov, M.: A Monte Carlo Solution of the Wigner transport Equation. Semiconductor Science Technology 9, 934–940 (1994)
Nedjalkov, M., Dimov, I., Rossi, F., Jacoboni, C.: Convergent of the Monte Carlo Algorithms for the Solution of the Wigner Quantum-Transp. Equation. J. Math. Comp. Mod. 23(8/9), 159–166 (1996)
Rammer, J.: Quantum transport theory of electrons in solids: A single-particle approach. Reviews of Modern Physics, series 63(4), 781–817 (1991)
Nedjalkov, M., Kosik, R., Kosina, H., Selberherr, S.: A Wigner Equation for Nanometer and Femtosecond Transport Regime. In: Proceedings of the 2001 First IEEE Conference on Nanotechnology. IEEE, Los Alamitos (2001)
Barker, J., Ferry, D.: Self-scattering path-variable formulation of high field time-dependent quantum kinetic equations for semiconductor transport in the finite-collision-duration regime. Physical Review Letters, series 42(26), 1779–1781 (1979)
Gurov, T.V., Nedjalkov, M., Whitlock, P.A., Kosina, H., Selberherr, S.: Femtosecond relaxation of hot electrons by phonon emission in presence of electric field. Physica B 314, 301–304 (2002)
Gurov, T.V., Dimov, I.T.: A Parallel Monte Carlo Method for Electron Quantum Kinetic Equation. In: Lirkov, I., Margenov, S., Waśniewski, J., Yalamov, P. (eds.) LSSC 2003. LNCS, vol. 2907, pp. 153–160. Springer, Heidelberg (2004)
Gurov, T.V., Whitlock, P.A.: An efficient backward Monte Carlo estimator for solving of a quantum kinetic equation with memory kernel. Mathematics and Computers in Simulation 60, 85–105 (2000)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Atanassov, E., Gurov, T., Karaivanova, A., Nedjalkov, M. (2006). Monte Carlo Grid Application for Electron Transport. In: Alexandrov, V.N., van Albada, G.D., Sloot, P.M.A., Dongarra, J. (eds) Computational Science – ICCS 2006. ICCS 2006. Lecture Notes in Computer Science, vol 3993. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11758532_81
Download citation
DOI: https://doi.org/10.1007/11758532_81
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-34383-7
Online ISBN: 978-3-540-34384-4
eBook Packages: Computer ScienceComputer Science (R0)