Abstract
It was recently suggested that transient dynamical properties were of some use to predict equilibrium critical properties of 2D and 3D models of statistical mechanics on the lattice. We investigate such dynamical properties for three related models with competitive interactions, namely the ANNNI model, the brickwork model, and the BNNNI model. In spite of known differences in their equilibrium phase diagrams, our simulations display similar transient dynamical behaviors for all three models. The reliability of this method for probing equilibrium properties seems therefore questionable even for rather simple magnetic models without any structural disorder.
Similar content being viewed by others
References
B. Derrida and A. U. Neumann,J. Phys. (Paris)49:1647 (1988).
A. Coniglio, L. De Arcangelis, H. J. Hermann, and N. Jan,Europhys. Lett. 8:315 (1989).
B. Derrida and G. Weisbuch,J. Phys. (Paris)47:1297 (1986).
B. Derrida and G. Weisbuch,Europhys. Lett. 4:657 (1987).
B. Derrida,J. Phys. A 20:L721 (1987).
B. Derrida and O. Golinelli,J. Phys. (Paris)49:1663 (1988).
D. Hansel, C. Meunier, and A. Verga, unpublished.
O. Golinelli and B. Derrida, preprint SSPhT/89-124.
L. De Arcangelis, A. Coniglio, and H. J. Hermann,Europhys. Lett. 9:749 (1989);J. Phys. A 24:4659 (1989).
M. N. Barber and B. Derrida,J. Stat. Phys. 51:877 (1988).
M. A. S. Saqi and D. S. McKenzie,J. Phys. A 20:471 (1987).
P. D. Beale, P. M. Duxbury, and J. Yeomans,Phys. Rev. B 31:7166 (1985).
R. Bideaux and L. de Seze,J. Stat. Phys. 43:645 (1986).
I. Morgenstern,Phys. Rev. B 26:5296 (1982).
I. Morgenstern,Phys. Rev. B 29:1458 (1984).
W. Selke,Phys. Rep. 170:213 (1988).
R. M. Hornreich, R. Liebmann, H. G. Schuster, and W. Selke,Z. Phys. B 35:91 (1979).
W. Selke and M. E. Fisher,Z. Phys. B 40:71 (1980).
D. P. Landau and K. Binder,Phys. Rev. B 31:5946 (1985).
J. Oitmaa and M. J. Velgakis,J. Phys. A 20:1495 (1987).
J. Velgakis and M. J. Oitmaa,J. Phys. A 21:547 (1988).
J. Oitmaa, M. T. Batchelor, and M. N., Barber,J. Phys. A 20:1507 (1987).
J. M. Anglès d'Auriac, D. Hansel, and J. M. Maillard,J. Phys. A 22:2577 (1989).
A. Finel and D. de Fontaine,J. Stat. Phys. 43:645 (1986).
Author information
Authors and Affiliations
Additional information
On leave from Centre de Physique Théorique, Ecole Polytechnique, 91128, Palaiseau Cedex, France.
Rights and permissions
About this article
Cite this article
Hansel, D., Meunier, C. & Verga, A. Transient dynamical behavior and phase transitions in magnetic systems. J Stat Phys 61, 329–343 (1990). https://doi.org/10.1007/BF01013968
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01013968