The effect of particle geometry and initial configuration on the phase behavior of twisted convex -prisms.

Soft Matter

Institute of Physics, University of Freiburg, Hermann-Herder-Str. 3, 79104 Freiburg, Germany.

Published: July 2024

AI Article Synopsis

  • The study focuses on the phase behavior of twisted convex prisms (with shapes defined by specific geometries) utilizing Monte Carlo simulations for prisms of dimensions 3 and 4.
  • Strong twisting of these prisms prevents biaxial phases from forming and instead stabilizes uniaxial nematic and smectic phases.
  • The research highlights how the aspect ratio of the prisms affects phase behavior, showing that higher aspect ratios lead to biaxial phases while lower ratios relate to phases similar to hard cylinders.

Article Abstract

We study the phase behavior of twisted convex -prisms with = 3 and 4, Monte Carlo simulations. Biaxial phases, in untwisted prisms, can be induced by choosing specific geometries of the prisms. However, due to the convexity of the twisted particles, a strong twisting disables the formation of biaxial phases and stabilizes uniaxial nematic and smectic phases. Using the increased volume of the twisted convex particles, we define an effective aspect ratio of the twisted prisms and find a homogeneous phase behavior across the geometry of the prisms' cross-section and even across different shapes of the cross-section. In this representation biaxial phases are found for large aspect ratios, while the low aspect ratio behavior can be compared to the hard cylinder phase diagram. For 3-prisms with a small base angle, we show the influence of the initial configuration; a polar initial configuration results in a (polar) splay nematic phase, whereas a non-polar initial configuration results in a biaxial phase.

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Source
http://dx.doi.org/10.1039/d4sm00585fDOI Listing

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