Abstract
The metastable lifetime of the square-lattice and simple-cubic-lattice kinetic Ising models are studied in the low-temperature limit. The simulations are performed using Monte Carlo with Absorbing Markov Chain algorithms to simulate extremely long low-temperature lifetimes. The question being addressed is at what temperatures the mathematically rigorous low-temperature results become valid. It is shown that the answer depends partly on how close the system is to fields at which the prefactor for the metastable decay either has a discontinuity or diverges
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
N.G. van Kampen: Stochastic Processes in Physics and Chemistry (Elsevier Science, Amsterdam 1982)
J.A. Bucklew: Large Deviaion Techniques in Decision, Simulation, and Estimation (Wiley, New York 1990)
R.J. Glauber: J. Math. Phys. 4, 294 (1963)
K. Park, M.A. Novotny: Comp. Phys. Commun., in press; e-print cond-mat/0109214
K. Park, M.A. Novotny, in: Computer Simulation Studies in Condensed Matter Physics XIV. Ed. by D.P. Landau, S.P. Lewis, H.-B. Shüttler (Springer, Berlin Heidelberg New York 2002)
K. Blum: Density Matrix Theory and Applications, 2nd Edn. (Plenum Press, New York 1996) Chap. 8
K. Binder, E. Stoll: Phys. Rev. Lett. 31, 47 (1973); K. Binder, H. Müller-Krumbhaar: Phys. Rev. B 9, 2328 (1974)
P.A. Martin: J. Stat. Phys. 16, 149 (1977)
P.A. Rikvold, H. Tomita, S. Miyashita, S.W. Sides: Phys. Rev. E 49, 5080 (1994); P.A. Rikvold, B.M. Gorman, in: Annual Reviews of Computational Physics I, ed. by D. Stauffer (World Scientific, Singapore 1994) p. 149
V.A. Shneidman, G.M. Nita: e-print cond-mat/0201064
A.B. Bortz, M.H. Kalos, J.L. Lebowitz: J. Comput. Phys. 17, 10 (1975)
M.A. Novotny: Comp. in Phys. 9, 46 (1995)
M.A. Novotny: Phys. Rev. Lett. 74, 1 (1995); erratum 75, 1424 (1995)
M.A. Novotny, in: Computer Simulation Studies in Condensed Matter Physics IX. Ed. by D.P. Landau, K.K. Mon, H.-B. Shüttler (Springer, Berlin Heidelberg New York 1997) p. 182
M.A. Novotny: Comp. Phys. Commun., in press; e-print cond-mat/0108429
M.A. Novotny, in: Annual Reviews of Computational Physics IX. Ed. by D. Stauffer (World Scientific, Singapore 2001) p. 153
E. Jordão Neves, R.H. Schonmann: Commun. Math. Phys. 137, 209 (1991)
A. Bovier, F. Manzo: e-print cond-mat/0107376
R.S. Maier, D.L. Stein: Phys. Rev. Lett. 87 022301 (2001)
D. Chen, J. Feng, M. Qian: Science in China (Series A) 40, 832 (1997)
D. Chen, J. Feng, M. Qian: Science in China (Series A) 40, 1129 (1997)
M. Kolesik, M.A. Novotny, P.A. Rikvold: Phys. Rev. Lett. 80, 3384 (1998)
M.A. Novotny, M. Kolesik, P.A. Rikvold: Comp. Phys. Commun. 121-122, 303 (1999)
G. Ben Arous, R. Cerf: Electronic J. Prob. 1, 1 (1996)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2003 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Novotny, M.A. (2003). Low-Temperature Metastability of Ising Models: Prefactors, Divergences, and Discontinuities. In: Landau, D.P., Lewis, S.P., Schüttler, HB. (eds) Computer Simulation Studies in Condensed-Matter Physics XV. Springer Proceedings in Physics, vol 90. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55522-0_2
Download citation
DOI: https://doi.org/10.1007/978-3-642-55522-0_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-62423-0
Online ISBN: 978-3-642-55522-0
eBook Packages: Springer Book Archive