Penrose matching rules from realistic potentials in a model system

Philosophical Magazine

Volumn 88, Issue 13-15, 2008, Pages 1977-1984

  Lim, S ^c   Mihalkovic M ^a,b   Henley, C L ^a  

^a School of Operations Research and Industrial Engineering   (United States)

^b INSTITUTE OF PHYSICS   (Slovakia)

^c NONE

Author keywords

Modelling; Quasicrystals

Indexed keywords

BUILDING MATERIALS;

DECAGONAL QUASICRYSTALS; MATCHING RULES; MODEL SYSTEMS; MODELLING; PAIR POTENTIALS; REALISTIC POTENTIALS; TOY MODELS;

QUASICRYSTALS;

EID: 54049136872     PISSN: 14786435     EISSN: 14786443     Source Type: Journal    
DOI: 10.1080/14786430802302026     Document Type: Article

References (20)

1. R. Phillips and M. Widom, J. Non-cryst. Solids 153 (1993) p.416.
2. J. Roth, R. Schilling and H.-R. Trebin, Phys. Rev. B 41 (1990) p.2735.
3. F. Lançon, L. Billard and P. Chaudhari, Europhys. Lett. 2 (1986) p.625.
4. M. Widom, K.J. Strandburg and R. H. Swendsen, Phys. Rev. Lett. 58 (1987) p.706.
5. A. Katz and D. Gratias, Tilings and quasicrystals, in Lectures on Quasicrystals, F. Hippert and D. Gratias, eds., Les Editions de Physique, Les Ulis, 1994, p.187.
6. V. Elser, Phys. Rev. B 32 (1985) p.4892.
7. C.L. Henley, Random tiling models, in Quasicrystals: The State of the Art, P.J. Steinhardt and D.P. DiVincenzo, eds., World Scientific, Singapore, 1991, p.429.
8. J.E.S. Socolar and P.J. Steinhardt, Phys. Rev. B 34 (1986) p.617.
9. M. de Boissieu, M. Boudard, B. Hennion et al., Phys. Rev. Lett. 75 (1995) p.89.
10. F. Gähler, M. Baake and M. Schlottmann, Phys. Rev. B 50 (1994) p.12458.
11. L.S. Levitov, Commun. Math. Phys. 119 (1988) p.627.
12. M.C. Shin and K.J. Strandburg, J. Non-cryst. Solids 153 (1993) p.253.
13. M. Mihalkovič, I. Al-Lehyani, E. Cockayne et al., Phys. Rev. B 65 (2002) p.104205.
14. N. Gu, M. Mihalkovič and C.L. Henley, Phil. Mag. Lett. 87 (2007) p.923.
15. N. Gu, C.L. Henley and M. Mihalkovič, Phil. Mag. 86 (2006) p.593.
16. E. Cockayne and M. Widom, Phil. Mag. A 77 (1998) p.593.
17. J.A. Moriarty and M. Widom, Phys. Rev. B 56 (1997) p.7905.
18. H.-C. Jeong and P.J. Steinhardt, Phys. Rev. Lett. 73 (1994) p. 1943.
19. C.L. Henley, Cluster maximization, non-locality, and random tilings, in Quasicrystals, S. Takeuchi and T. Fujiwara, eds., World Scientific, Singapore, 1998, p.27.
20. M. Mihalkovič and M. Widom, Phys. Rev. Lett. 93 (2004) p.095507.