Hostname: page-component-848d4c4894-5nwft Total loading time: 0 Render date: 2024-05-26T11:50:24.000Z Has data issue: false hasContentIssue false

Atomic Kinetics and Dynamical Phason Disorder in a Quasicrystal

Published online by Cambridge University Press:  10 February 2011

M. Dzugutov*
Affiliation:
Center for Parallel Computers, Royal Institute of Technology S-100 44 Stockholm, Sweden
Get access

Abstract

Slow relaxation dynamics in strongly coupled systems is known to be universally described by the stretched exponential Kohlrausch law. However, this phenomenon, observed in various condensed systems, still eludes a comprehensive microscopic interpretation. I discuss here the relaxation dynamics in an equilibrium dodecagonal quasicrystal which demonstrates a pronounced stretched exponential behaviour. The quasicrystal, simulated by Molecular Dynamics, reveals the presence of dynamical phason disorder, a generic form of relaxation dynamics associated with incommensurate, or phason degrees of freedom. This dynamics brings about a novel form of atomic diffusion, which is examined here by calculating the self part of intermediate scattering function Fs(Q, t). The latter displays a non-exponential decay which is found to be described by the Kohlrausch law with the stretching exponent β = 0.47. I discuss here a possible similarity between the dynamics of quasicrystals observed and that of supercooled liquids and glasses.

Type
Research Article
Copyright
Copyright © Materials Research Society 1996

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

[1] Götze, W. and Sjögren, L., Rep. Progr. in Phys, 55, p249376 (1992)Google Scholar
[2] Dzugutov, M., Europhys. Lett., 26, p. 533538 (1994)Google Scholar
[3] Socolar, J. E. C., Lubensky, T. C., and Steinhardt, P. J., Phys. Rev. B34, p. 33453357 (1986); T. C. Lubensky, S. Ramaswamy, and J. Toner, Phys. Rev. B32, p. 7444–7462 (1985)Google Scholar
[4] Henley, C., in Quasicrystals: the state of the art, edited by Vincenco, D. P. Di and Steinhardt, P. J., World Scientific, Singapore, 1991, pp. 429521 Google Scholar
[5] Kalugin, P. and Katz, A., Europhys. Lett. 21, p. 921926 (1993)Google Scholar
[6] Coddens, G., Bellissent, R., Calvayarac, Y., and Ambroise, J. R., Europhys. Lett. 16, p. 271276 (1991)Google Scholar
[7] Dzugutov, M., Phys. Rev. Lett 70, p. 29242927 (1993)Google Scholar
[8] Dzugutov, M., Phys. Rev A46, p. R2984–R2987 (1992)Google Scholar
[9] Chen, H., Li, D. X., and Kuo, K. H., Phys. Rev. Lett. 60, p. 16451648 (1988); T. Ishimasa, H. U. Nissen, and Y. Fukano, Phys. Rev. Lett. 55, p. 511–514 (1985)Google Scholar
[10] Beeli, C., Doctoral thesis, ETH, Zurich, 1992; C. Beeli, unpublishedGoogle Scholar
[11] Gähler, F., in Quasicrystalline Materials, edited by Janot, C. and Dubois, J. M., World Scientific, Singapore, 1988, pp. 3442 Google Scholar
[12] Dzugutov, M., Europhys. Lett 31, p. 9598 (1995)Google Scholar
[13] Phillips, J. C., and Rabe, K., Phys. Rev. Lett., 66, p. 923926 (1991)Google Scholar
[14] Dzugutov, M. and Phillips, J. C., to be published; P. Grassberger, and I. Procaccia, Phys. Rev. A26, p. 3686–3698 (1982)Google Scholar