Abstract
We present a stochastic approach for solving the quantum-kinetic equation introduced in Part I. A Monte Carlo method based on backward time evolution of the numerical trajectories is developed. The computational complexity and the stochastic error are investigated numerically. Variance reduction techniques are applied, which demonstrate a clear advantage with respect to the approaches based on symmetry transformation. Parallel implementation is realized on a GRID infrastructure.
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References
Dimov, I., Tonev, O.: Monte Carlo Algorithms: Performance Analysis for Some Computer Architectures. J. of Comp. and Appl. Mathematics 48, 253–277 (1993)
EGEE GRID Middleware, http://lcg.web.cern.ch/LCG/Sites/releases.html
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.) Large scale scientific computing. LNCS, vol. 2907, pp. 151–161. Springer, Heidelberg (2004)
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., 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)
Mikhailov, G.A.: New Monte Carlo Methods with Estimating Derivatives, Utrecht, The Netherlands (1995)
Nedjalkov, M., Kosik, R., Kosina, H., Selberherr, S.: AWigner Equation for Nanometer and Femtosecond ransport Regime. In: Proceedings of the 2001 First IEEE Conference on Nanotechnology, Hawaii, 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. Physical Review B 70, 115319–115335 (2004)
Scalable Parallel Random Number Generators Library for Parallel Monte Carlo Computations, SPRNG 1.0 and SPRNG 2.0, http://sprng.cs.fsu.edu
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Gurov, T., Atanassov, E., Dimov, I., Palankovski, V. (2006). Femtosecond Evolution of Spatially Inhomogeneous Carrier Excitations Part II: Stochastic Approach and Grid Implementation. In: Lirkov, I., Margenov, S., Waśniewski, J. (eds) Large-Scale Scientific Computing. LSSC 2005. Lecture Notes in Computer Science, vol 3743. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11666806_16
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DOI: https://doi.org/10.1007/11666806_16
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-31994-8
Online ISBN: 978-3-540-31995-5
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