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] |
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).
Unusual wetting transition in ideal quasi-crystals.
Europhys. Lett. 18 , 233-238 (1992).
Shape fluctuations and critical phenomena.
In H.~van Beijeren, editor, ''Fundamental Problems in Statistical
Mechanics'', Vol. VII
Elsevier Science Publishers (1990).
Equilibrium crystal shapes for ideal and random quasicrystals.
Phys. Rev. Lett. 60 , 2394 - 2397 (1988).
Interface roughening in two-dimensional quasi-crystals.
Phys. Rev. Lett. 59 , 1679 - 1682 (1987).