Abstract
In this work we present Monte Carlo simulation of ultrafast electron transport in semiconductors. We study the scalability of the presented algorithms using high-performance computing resources in South-Eastern Europe. Numerical results for parallel efficiency and computational cost are also presented. In addition we discuss the coordinated use of heterogeneous HPC resources for one and the same application in order to achieve a good performance.
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References
Sobol, I.M.: Monte Carlo Numerical Methods, Nauka, Moscow (1973) (in Russian)
Kroese, D.P., Taimre, T., Botev, Z.I.: Handbook of Monte Carlo Methods. Wiley Series in Probability and Statistics. John Wiley and Sons, New York (2011)
Kalos, M.A., Whitlock, P.A.: Monte Carlo Methods, 2nd revised and enlarged edn. WILEY-VCH GmbH&Co. KGaA, Meinheim (2008)
Karaivanova, A.: Statistical Numerical Methods and Simulations, Demetra, Sofia (2012) (in Bulgarian)
Atanassov, E., Karaivanova, A., Ivanovska, S.: Tuning the Generation of Sobol Sequence with Owen Scrambling. In: Lirkov, I., Margenov, S., Waśniewski, J. (eds.) LSSC 2009. LNCS, vol. 5910, pp. 459–466. Springer, Heidelberg (2010)
Atanassov, E., Durchova, M.: 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)
Mikhailov, G.A.: New Monte Carlo Methods with Estimating Derivatives, Utrecht, The Netherlands (1995)
Dimov, I., Dimov, T., Gurov, T.: A New Iterative Monte Carlo Approach for Inverse Matrix Problem. J. of Comp. and Appl. Math. 92, 15–35 (1998)
Scalable Parallel Random Number Generators Library for Parallel Monte Carlo Computations, SPRNG 1.0 and SPRNG 2.0, http://sprng.cs.fsu.edu
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, pp. 277–281. IEEE, Maui (2001)
Nedjalkov, M., Kosina, H., Selberherr, S., Ringhofer, C., Ferry, D.K.: Unified Particle Approach to Wigner-Boltzmann Transport in Small Semiconductor Devices. Phys. Rev. B 70, 115319–115335 (2004)
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)
Ringhofer, C., Nedjalkov, M., Kosina, H., Selberherr, S.: Semi-Classical Approximation of Electron-Phonon Scattering Beyond Fermi’s Golden Rule. SIAM J. of Appl. Mathematics 64(6), 1933–1953 (2004) (the references therein)
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 (2002)
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)
European Grid Infrastructure, http://www.egi.eu/
Atanassov, E., et al.: SALUTE application for Quantum Transport – New Grid Implementation Scheme. In: Proceedings of the Spanish Conference on e-Science Grid Computing, pp. 23–32 (2007)
Atanassov, E., Gurov, T., Karaivanova, A.: Ultra-fast Semiconductor Carrier Transport Simulation on the Grid. In: Lirkov, I., Margenov, S., Waśniewski, J. (eds.) LSSC 2007. LNCS, vol. 4818, pp. 461–469. Springer, Heidelberg (2008)
Nedjalkov, M., Gurov, T.V., Kosina, H., Vasileska, D., Palankovski, V.: Femtosecond Evolution of Spatially Inhomogeneous Carrier Excitations: Part I: Kinetic Approach. In: Lirkov, I., Margenov, S., Waśniewski, J. (eds.) LSSC 2005. LNCS, vol. 3743, pp. 149–156. Springer, Heidelberg (2006)
Levinson, I.: Translational invariance in uniform fields and the equation for the density matrix in the Wigner representation. Sov. Phys. JETP 30, 362–367 (1970)
Herbst, M., Glanemann, M., Axt, V., Kuhn, T.: Electron-phonon quantum kinetics for spatially inhomogeneous excitations. Physical Review B 67, 195305:1–195305:18 (2003)
Gurov, T., Atanassov, E., Dimov, I., Palankovski, V.: 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)
Dimov, I., Tonev, O.: Monte Carlo Algorithms: Performance Analysis for Some Computer Architectures. J. of Comp. and Appl. Mathematics 48, 253–277 (1993)
Li, Y., Mascagni, M.: Grid-based Quasi-Monte Carlo Applications. Monte Carlo Methods and Appl. 11(1), 39–56 (2005)
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Atanassov, E., Gurov, T., Karaivanova, A. (2014). Simulation of Electron Transport Using HPC Infrastructure in South-Eastern Europe. In: Dulea, M., Karaivanova, A., Oulas, A., Liabotis, I., Stojiljkovic, D., Prnjat, O. (eds) High-Performance Computing Infrastructure for South East Europe's Research Communities. Modeling and Optimization in Science and Technologies, vol 2. Springer, Cham. https://doi.org/10.1007/978-3-319-01520-0_1
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DOI: https://doi.org/10.1007/978-3-319-01520-0_1
Publisher Name: Springer, Cham
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