Issue
EPL
Volume 82, Number 1, April 2008
Article Number 18001
Number of page(s) 6
Section Interdisciplinary Physics and Related Areas of Science and Technology
DOI http://dx.doi.org/10.1209/0295-5075/82/18001
Published online 05 March 2008
EPL, 82 (2008) 18001
DOI: 10.1209/0295-5075/82/18001

Lane formation vs. cluster formation in two-dimensional square-shoulder systems -A genetic algorithm approach

J. Fornleitner and G. Kahl

Center for Computational Materials Science and Institut für Theoretische Physik, Technische Universität Wien Wiedner Hauptstraße 8-10, A-1040 Wien, Austria, EU

fornleitner@cmt.tuwien.ac.at

received 6 December 2007; accepted in final form 5 February 2008; published April 2008
published online 5 March 2008

Abstract
Introducing genetic algorithms as a reliable and effective tool to find ordered equilibrium structures, we predict minimum energy configurations of the square shoulder system for different values of corona width $\lambda $. By varying systematically the pressure and choosing different values of $\lambda $ we are able to identify complete sequences of minimum energy configurations. The results provide a deeper understanding of the system's strategies to arrange particles in an energetically optimised fashion, leading to the competing self-assembly scenarios of cluster formation vs. lane formation.

PACS
82.70.Dd - Colloids.
64.70.Nd - Structural transitions in nanoscale materials.
82.70.-y - Disperse systems; complex fluids .

© EPLA 2008