Abstract
Stochastic ALgorithms for Ultra-fast Transport in sEmiconductors (SALUTE) is a Grid application which integrates a set of novel Monte Carlo, quasi-Monte Carlo and hybrid algorithms for solving various computationally intensive problems important for industry (design of modern semiconductor devices). SALUTE studies memory and quantum effects during the femtosecond relaxation process due to electron-phonon interaction in one-band semiconductors or quantum wires.
There are two main reasons for running this application on the Grid: (i) quantum problems are very computationally intensive; (ii) the inherently parallel nature of Monte Carlo applications makes efficient use of Grid resources.
In this paper we study the quasirandom approach in SALUTE, using the scrambled Halton, Sobol and Niederreiter sequences. A large number of tests have been performed on the SEEGRID grid infrastructure using specially developed grid implementation scheme. Novel results for energy and density distribution, obtained in the inhomogeneous case with applied electric field are presented.
Supported by the Ministry of Education and Science of Bulgaria under Grant No. DO02-146/2008.
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References
Atanassov, E.: A New Efficient Algorithm for Generating the Scrambled Sobol’ Sequence. In: Dimov, I.T., Lirkov, I., Margenov, S., Zlatev, Z. (eds.) NMA 2002. LNCS, vol. 2542, pp. 83–90. Springer, Heidelberg (2003)
Atanassov, E.I., Durchova, M.K.: Generating and Testing the Modified Halton Sequences. In: Dimov, I.T., Lirkov, I., Margenov, S., Zlatev, Z. (eds.) NMA 2002. LNCS, vol. 2542, pp. 91–98. Springer, Heidelberg (2003)
Atanassov, E., Gurov, T., Karaivanova, A., Nedjalkov, M.: Monte Carlo Grid Application for Electron Transport. In: Alexandrov, V.N., van Albada, G.D., Sloot, P.M.A., Dongarra, J. (eds.) ICCS 2006. LNCS, vol. 3993, pp. 616–623. Springer, Heidelberg (2006)
Atanassov, E., Gurov, T., Karaivanova, A.: SALUTE Application for Quantum Transport New Grid Implementation Scheme. In: Proceedings of Spanish e-Science Grid Conference, pp. 23–32, ISBN: 987-84-7834-544-1, NIPO: 654-07-015-9
Bromley, B.C.: Quasirandom Number Generation for Parallel Monte Carlo Algorithms. Journal of Parallel Distributed Computing 38(1), 101–104 (1996)
Caflisch, R.: Monte Carlo and quasi-Monte Carlo methods. Acta Numerica 7, 1–49 (1998)
Chi, H., Jones, E.: Generating Parallel Quasirandom Sequences by using Randomization. Journal of distributed and parallel computing 67(7), 876–881 (2007)
Chi, H., Mascagni, M.: Efficient Generation of Parallel Quasirandom Sequences via Scrambling. In: Shi, Y., van Albada, G.D., Dongarra, J., Sloot, P.M.A. (eds.) ICCS 2007. LNCS, vol. 4487, pp. 723–730. Springer, Heidelberg (2007)
Fischetti, M.V., Laux, S.E.: Monte Carlo Analysis of Electron Transport in Small Semiconductor Devices Including Band-Structure and Space-Charge Effects. Phys. Rev. B 38, 9721–9745 (1988)
Foster, J., Kesselmann, C.: The Grid: Blueprint for a New Computing Infrastructure. Morgan Kaufmann, San Francisco (1998)
Gurov, T., et al.: Femtosecond Evolution of Spatially Inhomogeneous Carrier Excitations: Part II: Stochastic Approach and GRID Implementation. In: Lirkov, I., Margenov, S., Waśniewski, J. (eds.) LSSC 2005. LNCS, vol. 3743, pp. 157–163. Springer, Heidelberg (2006)
Kosina, H., Nedjalkov, M., Selberherr, S.: An event bias technique for Monte Carlo device simulation. Math. and Computers in Simulation 62, 367–375 (2003)
Nedjalkov, M., Kosina, H., Selberherr, S., Ringhofer, C., Ferry, D.K.: Unified particle approach to Wigner-Boltzmann transport in small semiconductor devices. Physical Review B 70, 115319–115335 (2004)
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Atanassov, E., Karaivanova, A., Gurov, T. (2010). Quasi-random Approach in the Grid Application SALUTE. In: Wyrzykowski, R., Dongarra, J., Karczewski, K., Wasniewski, J. (eds) Parallel Processing and Applied Mathematics. PPAM 2009. Lecture Notes in Computer Science, vol 6068. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14403-5_22
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DOI: https://doi.org/10.1007/978-3-642-14403-5_22
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