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Low-Temperature Metastable Lifetimes of the Square-Lattice Ising Ferromagnet

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Computer Simulation Studies in Condensed-Matter Physics IX

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 82))

Abstract

We compare computer calculations of the lifetimes of the metastable state of the square-lattice Ising model at low temperatures with exact predictions. The computer simulations are obtained using the MCAMC algorithm, which combines Monte Carlo with absorbing Markov chains (MCAMC). Additional exact calculations using absorbing Markov chain matrices are also reported. It is found that for most values of the applied magnetic field there is a temperature-independent prefactor which must be included in order to compare theoretical predictions with the calculated lifetimes.

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References

  1. H. L. Richards, S. W. Sides, M. A. Novotny, and P. A. Rikvold, J. Mag. Mag. Mat. 150, 37 (1995).

    Article  ADS  Google Scholar 

  2. H. L. Richards, M. A. Novotny, and P. A. Rikvold, Phys. Rev. B (in press).

    Google Scholar 

  3. E. Jordão Neves and R. H. Schonmann, Commun. Math. Phys. 137, 209 (1991).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  4. R. Kotecký and E. Olivieri, J. Stat. Phys. 70, 1121 (1993).

    Article  ADS  MATH  Google Scholar 

  5. R. Kotecký and E. Olivieri, J. Stat. Phys. 75, 409 (1994).

    Article  ADS  MATH  Google Scholar 

  6. K. Binder, in Phase Transitions and Critical Phenomena, eds. C. Domb and M. Green (Academic, London, 1976), Vol. 5B.

    Google Scholar 

  7. M. A. Novotny, Phys. Rev. Lett. 74, 1 (1995); erratum 75, 1424 (1995).

    Article  ADS  Google Scholar 

  8. M. Iosifescu, Finite Markov Processes and Their Application, (John Wiley & Sons, New York, 1980).

    Google Scholar 

  9. M. A. Novotny, Comp. in Phys. 9, 46 (1995). (There are misprints in Table I of this paper.)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  11. M. A. Novotny, unpublished.

    Google Scholar 

  12. H. Tomita and S. Miyashita, Phys. Rev. B 46, 8886 (1992).

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  14. J. Lee, M. A. Novotny, and P. A. Rikvold, Phys. Rev. E 52, 356 (1995).

    Article  ADS  Google Scholar 

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© 1997 Springer-Verlag Berlin Heidelberg

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Novotny, M.A. (1997). Low-Temperature Metastable Lifetimes of the Square-Lattice Ising Ferromagnet. In: Landau, D.P., Mon, K.K., Schüttler, HB. (eds) Computer Simulation Studies in Condensed-Matter Physics IX. Springer Proceedings in Physics, vol 82. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-60597-0_22

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  • DOI: https://doi.org/10.1007/978-3-642-60597-0_22

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-64470-2

  • Online ISBN: 978-3-642-60597-0

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