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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
H. L. Richards, S. W. Sides, M. A. Novotny, and P. A. Rikvold, J. Mag. Mag. Mat. 150, 37 (1995).
H. L. Richards, M. A. Novotny, and P. A. Rikvold, Phys. Rev. B (in press).
E. Jordão Neves and R. H. Schonmann, Commun. Math. Phys. 137, 209 (1991).
R. Kotecký and E. Olivieri, J. Stat. Phys. 70, 1121 (1993).
R. Kotecký and E. Olivieri, J. Stat. Phys. 75, 409 (1994).
K. Binder, in Phase Transitions and Critical Phenomena, eds. C. Domb and M. Green (Academic, London, 1976), Vol. 5B.
M. A. Novotny, Phys. Rev. Lett. 74, 1 (1995); erratum 75, 1424 (1995).
M. Iosifescu, Finite Markov Processes and Their Application, (John Wiley & Sons, New York, 1980).
M. A. Novotny, Comp. in Phys. 9, 46 (1995). (There are misprints in Table I of this paper.)
A. B. Bortz, M. H. Kalos, and J. L. Lebowitz, J. Comput. Phys. 17, 10 (1975).
M. A. Novotny, unpublished.
H. Tomita and S. Miyashita, Phys. Rev. B 46, 8886 (1992).
P. A. Rikvold, H. Tomita, S. Miyashita, and S. W. Sides, Phys. Rev. E 49, 5080 (1994).
J. Lee, M. A. Novotny, and P. A. Rikvold, Phys. Rev. E 52, 356 (1995).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1997 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
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
Download citation
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
eBook Packages: Springer Book Archive