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BP: Fachverband Biologische Physik

BP 10: Posters DY - Fluid Physics, Active Matter, Complex Fluids, Soft Matter and Glasses (joint session DY/BP)

BP 10.5: Poster

Monday, March 22, 2021, 14:00–16:30, DYp

Classical Density Functional Theory for Particles with Hard Cores and Soft Square Shoulders — •Markus Hoffmann, Robert F. B. Weigel, and Michael Schmiedeberg — Friedrich-Alexander-Universität Erlangen-Nürnberg, Erlangen, Germany

Classical density functional theory is an excellent tool to investigate classical many-body systems from fundamental principles, in particular soft matter systems. We consider particles with hard cores and soft square shoulders in two dimensions. The hard-core is implemented by using a variant of the Fundamental Measure Theory that probably is the best mean field approach to hard particles.

The hard core-square shoulder interaction possesses two independent length scales namely the diameter of the hard core and the diameter of the square shoulders. We observe the expected crystallization transitions into a triangular phase for both very weak shoulders where the hard cores dominate and for strong shoulders effectively leading to a soft sphere system.

However, the most interesting cases are expected when the two length scales of the systems are competing. As a result, not only square patterns are observed but we also want to explore quasicrystals. Note that previous mean field descriptions of quasicrystals (like Phase Field Crystal approaches) usually consider cluster crystals and so far have not been able to explain the formation of quasicrystals for particles with hard cores.