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A Parallel Monte Carlo Method for Electron Quantum Kinetic Equation

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Large-Scale Scientific Computing (LSSC 2003)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2907))

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Abstract

We study a parallel Monte Carlo (MC) method for investigation of a quantum kinetic equation which accounts for the action of the electric field during the process of electron-phonon interaction. Optimization of the presented parallel algorithm is done using variance reduction techniques and parallel random sequences from the Scalable Parallel Random Number Generator (SPRNG) library. The developed code written in C is parallelized with MPI and OpenMP codes.

Numerical results for the parallel efficiency of the algorithm are obtained. The dependence of the electron energy distribution on applied electric field is investigated for long evolution times. The distribution function is computed for GaAs material parameters.

Supported by the European Commission through grant number HPRI-CT-1999-00026 and by Center of Excellence BIS-21 grant ICA1-2000-70016, as well as by the NSF of Bulgaria through grant number I-1201/02.

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© 2004 Springer-Verlag Berlin Heidelberg

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Gurov, T.V., Dimov, I.T. (2004). A Parallel Monte Carlo Method for Electron Quantum Kinetic Equation. In: Lirkov, I., Margenov, S., Waśniewski, J., Yalamov, P. (eds) Large-Scale Scientific Computing. LSSC 2003. Lecture Notes in Computer Science, vol 2907. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24588-9_16

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  • DOI: https://doi.org/10.1007/978-3-540-24588-9_16

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-21090-0

  • Online ISBN: 978-3-540-24588-9

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