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Updated: Nov 12, 2025

Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions
Published on: February 22, 2018
Phase behavior of hard cylinders
Joyce T Lopes1, Flavio Romano2, Eric Grelet3
1Universidade Estadual de Campinas, Faculdade de Engenharia Química, Departamento de Engenharia de Sistemas Químicos, Campinas, Brazil.
This study maps the phase diagram for hard cylindrical particles. For prolate cylinders (L/D > 1), nematic and smectic phases emerge. For oblate cylinders (L/D < 1), cubatic, nematic, and columnar phases are stable.
Area of Science:
- Physics
- Materials Science
- Computational Chemistry
Background:
- Understanding the phase behavior of anisotropic particles is crucial for materials science.
- Cylindrical particles exhibit complex phase diagrams influenced by their aspect ratio.
- Previous studies on hard cylinders have provided partial phase diagrams, necessitating a comprehensive investigation.
Purpose of the Study:
- To computationally map the complete phase diagram of hard cylindrical particles.
- To investigate the influence of particle aspect ratio (L/D) on phase behavior.
- To identify stable and metastable phases and their transition points.
Main Methods:
- Isobaric Monte Carlo simulations were employed.
- An improved algorithm for detecting cylinder overlap was utilized.
- Simulations covered both prolate (L/D > 1) and oblate (L/D < 1) geometries.
Main Results:
- For prolate cylinders, isotropic (I), nematic (N), smectic (SmA), and crystal (X) phases were identified, with I-N-SmA and I-SmA-X triple points.
- A metastable columnar (C) phase was observed for prolate cylinders.
- For oblate cylinders, stable intermediate phases included cubatic (Cub), nematic (N), and columnar (C), with triple points I-N-Cub, N-Cub-C, and I-Cub-C.
Conclusions:
- The study provides a comprehensive phase diagram for hard cylindrical particles, revealing distinct behaviors for prolate and oblate shapes.
- The findings highlight the stability of cubatic, nematic, and columnar phases in oblate systems.
- This work offers a foundation for more complex models with potential applications in biological systems like viruses and nucleosomes.
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