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Monte Carlo Simulations on SIMD Computer Architectures

  • C. P. Burmester (a1), L. T. Wille (a2) and R. Gronsky (a1)

Abstract

Algorithmic considerations regarding the implementation of various materials science applications of the Monte Carlo technique to single instruction multiple data (SIMD) computer architectures are presented. In particular, implementation of the Ising model with nearest, next nearest. and long range screened Coulomb interactions on the SIMD architecture MasPar MP-1 (DEC mpp-12000) series of massively parallel computers is demonstrated. Methods of code development which optimize processor array use and minimize inter-processor communication are presented including lattice partitioning and the use of processor array spanning tree structures for data reduction. Both geometric and algorithmic parallel approaches are utilized. Benchmarks in terms of Monte Carlo updates per second for the MasPar architecture are presented and compared to values reported in the literature from comparable studies on other architectures.

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1. Blank, T., Proceedings of the CompCon Spring 1990, 35th IEEE Computer Society International Meeting (February 1990) 20.
2. Becher, J. D. and Hansen, K. M., MasPar Computer Corporation Technical Report TROO1.1091 (November 1991).
3. Metropolis, N., Rosenbluth, A. W., Rosenbluth, M. N., Teller, A. H., and Teller, E., J. Chem. Phys. 21 (1953) 1087.
4. Chowdhury, D. and Stauffer, D., J. Stat. Phys. 59 (1990) 1019.
5. Schulman, L. and Seiden, P. E., Science 233 (1986) 425.
6. Phani, M. K., Lebowitz, J. L., Kalos, M. H. and Tsai, C. C., Phys. Rev. Lett. 42 (1979) 577.
7. Binder, K. and Landau, D. P., Surf. Sci. 61 (1976) 577.
8. Wille, L. T., Berera, A., and Fontaine, D. de, Phys. Rev. Lett. 60, (1988) 1065.
9. Adelman, D., Burmester, C. P., Wille, L. T., Sterne, P. A., and Gronsky, R., submitted.
10. Landau, D. P. and Stauffer, D., Journal de Physique 50 (1989) 509.
11. Heermann, D. W. and Burkitt, A. W., Parallel Computing 13 (1990) 345.
12. Heermann, D. W. and Burkitt, A. W., Parallel Algorithms in Computational Science, Springer Series in Information Sciences, 24, Springer-Verlag, New York (1990).
13. Slaets, J. F. W. and Travieso, G., Comp. Phys. Comm. 56 (1989) 63.
14. Onsager, L., Phys. Rev. 65 (1944) 117.
15. Somsky, W. R. and Gubematis, J. E., Comp. in Phys. 6 (1992) 178.
16. Swendsen, R. H. and Wang, J., Phys. Rev. Lett. 57 (1986) 2607.
17. Dewar, R. and Harris, C. K., J. Phys. A: Math. Gen. 20 (1987) 985.
18. Brower, R. C., Tamayo, P.. and York, B., Jour. of Stat. Phys. 63 (1991) 73.
19. Babalievski, F. V., Comp. Phys. Comm. 67 (1992) 453.

Monte Carlo Simulations on SIMD Computer Architectures

  • C. P. Burmester (a1), L. T. Wille (a2) and R. Gronsky (a1)

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