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Hard Simulation Problems in the Modeling of Magnetic Materials: Parallelization and Langevin Micromagnetics

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Computer Simulation Studies in Condensed-Matter Physics XI

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 84))

Abstract

We present recent results on two attempts at understanding and utilizing large-scale simulations of magnetic materials. In the first study we consider massively parallel implementations on a Cray T3E of the of the n-fold way algorithm for magnetization switching in kinetic Ising models. We find an intricate relationship between the average time increment and the size of the spin blocks on each processor. This narrows the regime of efficient implementation. The second study concerns incorporating noise into micromagnetic calculations using Langevin methods. This allows measurement of quantities such as the probability that the system has not switched within a given time. Preliminary results are reported for arrays of single-domain nanoscale pillars.

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References

  1. A.B. Bortz, M.H. Kalos, J.L. Lebowitz, J. Comput. Phys. 17, 10 (1975).

    Article  ADS  Google Scholar 

  2. M.A. Novotny, Phys. Rev. Lett. 74, 1 (1995); erratum 75, 1424 (1995); Comp, in Phys. 9, 46 (1995).

    Article  ADS  Google Scholar 

  3. M. Kolesik, M.A. Novotny, P.A. Rikvold, and D.M. Townsley, in Computer Simulations in Condensed Matter Physics X, edited by D.P. Landau, K.K. Mon, and H.-B. Schüttler, (Springer, Berlin, 1998), pp. 246; M. Kolesik, M.A. Novotny, and P.A. Rikvold, Phys. Rev. Lett., in press.

    Google Scholar 

  4. P.A. Rikvold, H. Tomita, S. Miyashita and S.W. Sides, Phys. Rev. E 49, 5080 (1994).

    Article  ADS  Google Scholar 

  5. H.L. Richards, S.W. Sides, M.A. Novotny, and P.A. Rikvold, J. Mag. Mag. Mat. 150, 37 (1995); P.A. Rikvold, M.A. Novotny, M. Kolesik, and H.L. Richards, in Dynamical Properties of Unconventional Magnetic Systems edited by A.T. Skjeltorp and D. Sherrington, (Kluwer, Dordrecht, in press) NATO ASI Series; M. Kolesik, M.A. Novotny, and P.A. Rikvold, Phys. Rev. B 56, 11790 (1997).

    Google Scholar 

  6. A.D. Kent, S. von Molnar, S. Gider, and D.D. Awschalom, J. Appl. Phys. 76, 6656 (1994); S. Wirth, M. Field, D.D. Awschalom, and S. von Molnar, Phys. Rev. B, submitted.

    Article  ADS  Google Scholar 

  7. B.D. Lubachevsky, Complex Systems 1, 1099 (1987); J. Comput. Phys. 75, 103 (1988).

    Article  ADS  MATH  Google Scholar 

  8. R.M. Fujimoto, Commun. ACM 33, 30 (1990).

    Article  Google Scholar 

  9. G. Korniss, M.A. Novotny, and P.A. Rikvold, in preparation.

    Google Scholar 

  10. D.R. Jefferson, ACM Trans. Prog. Lang, and Syst. 7, 404 (1985).

    Article  Google Scholar 

  11. E.D. Boerner and H.N. Bertram, IEEE Trans. Magn. 33, 3052 (1997).

    Article  ADS  Google Scholar 

  12. W.F. Brown, Phys. Rev. 130, 1677 (1963).

    Article  ADS  Google Scholar 

  13. A. Aharoni, Introduction to the Theory of Ferromagnetism (Clarendon, Oxford, 1996).

    Google Scholar 

  14. D.A. Garanin, Phys. Rev. B 55, 3050 (1997).

    Article  ADS  Google Scholar 

  15. G. Brown, M.A. Novotny, and P.A. Rikvold, in preparation.

    Google Scholar 

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© 1999 Springer-Verlag Berlin Heidelberg

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Korniss, G., Brown, G., Novotny, M.A., Rikvold, P.A. (1999). Hard Simulation Problems in the Modeling of Magnetic Materials: Parallelization and Langevin Micromagnetics. In: Landau, D.P., Schüttler, HB. (eds) Computer Simulation Studies in Condensed-Matter Physics XI. Springer Proceedings in Physics, vol 84. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-60095-1_18

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  • DOI: https://doi.org/10.1007/978-3-642-60095-1_18

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-64255-5

  • Online ISBN: 978-3-642-60095-1

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