Unusual Wetting Transitions in Two-Dimensional Quasi-Crystals

G. J. O Schmidt, R Lipowsky
1992 Europhysics letters  
PACS. 61.40D -Glasses. PACS. 68.42 -Surface phase transitions and critical phenomena. PACS. 05.70 J -Critical point phenomena. Abstract. -A model for wetting in a 2d ideal Penrose tiling is presented. The exponents and the nature of the wetting transition for long-ranged potentials are determined by an approximate renormalization group approach and confirmed numerically. The wetting shows unusual features due to the self-similarity of the quasi-periodic lattice. For short-ranged potentials a
more » ... universality class of transitions is established and the critical behaviour is determined.
doi:10.1209/0295-5075/18/3/008 fatcat:heuvep6pfvgzhgv7triizyv3vi