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Surfaces and interfaces in quasi-periodic systems - such as
incommensurate crystals
and ideal quasicrystals - feel
effective, quasi-periodic potentials.
These potentials, which are characterized by an irrational ratio of two
periodicities,
reduce both the interfacial roughness
[1]
[2]
[3]
and the divergencies at wetting transitions
[4]
as found in periodic systems.
Random quasicrystals, on the other hand, lead to random
interface potentials that act to increase
the interfacial roughness.
[2]
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R. Lipowsky, S. Grotehans, and G. Schmidt.
Roughening and Wetting phenomena.
In K.S. Liang and M.P.
Anderson and R.F. Bruinsma and G. Scoles,
''Interface dynamics and
Growth'' MRS-Symp. Proc., vol. 237, pages 11-24.
Material Research Society, Pittsburgh (1992).
-
G. Schmidt and R. Lipowsky.
Unusual wetting transition in ideal quasi-crystals.
Europhys. Lett. 18 , 233-238 (1992).
-
R. Lipowsky
Shape fluctuations and critical phenomena.
In H.~van Beijeren, editor, ''Fundamental Problems in Statistical
Mechanics'', Vol. VII
Elsevier Science Publishers (1990).
-
R. Lipowsky and C.L. Henley.
Equilibrium crystal shapes for ideal and random quasicrystals.
Phys. Rev. Lett. 60 , 2394 - 2397 (1988).
-
C.L. Henley and R. Lipowsky.
Interface roughening in two-dimensional quasi-crystals.
Phys. Rev. Lett. 59 , 1679 - 1682 (1987).
