Periodic ordering of clusters and stripes in a two-dimensional lattice model. II. Results of Monte Carlo simulation.
The triangular lattice model with nearest-neighbor attraction and third-neighbor repulsion, introduced by Pȩkalski, Ciach, and Almarza [J. Chem. Phys. 140, 114701 (2014)] is studied by Monte Carlo simulation. Introduction of appropriate order parameters allowed us to construct a phase diagram, where different phases with patterns made of clusters, bubbles or stripes are thermodynamically stable. We observe, in particular, two distinct lamellar phases-the less ordered one with global orientational order and the more ordered one with both orientational and translational order. Our results concern spontaneous pattern formation on solid surfaces, fluid interfaces or membranes that is driven by competing interactions between adsorbing particles or molecules.
Instituto de Química Física Rocasolano, CSIC, Serrano 119, E-28006 Madrid, Spain.
N G
NG
Almarza
Institute of Physical Chemistry, Polish Academy of Sciences, 01-224 Warszawa, Poland.
J
J
Pȩkalski
Institute of Physical Chemistry, Polish Academy of Sciences, 01-224 Warszawa, Poland.
A
A
Ciach
D000327:Adsorption; D003198:Computer Simulation; D008560:Membrane Fluidity; D009010:Monte Carlo Method; D044367:Phase Transition; D013816:Thermodynamics