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Related Experiment Video

Updated: Feb 22, 2026

Forming, Confining, and Observing Microtubule-Based Active Nematics

Forming, Confining, and Observing Microtubule-Based Active Nematics

Published on: January 13, 2023

Density functional theory for dense nematic liquid crystals with steric interactions.

Eduardo S Nascimento¹, Peter Palffy-Muhoray¹, Jamie M Taylor²

¹Liquid Crystal Institute, Kent State University, Kent, Ohio 44240, USA.

Physical Review. E

|September 28, 2017

Summary

This study presents a new model for hard particle systems, offering a more realistic equation of state for nematics. The model accurately predicts phase transitions and provides richer energy landscape insights.

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Last Updated: Feb 22, 2026

Forming, Confining, and Observing Microtubule-Based Active Nematics

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Published on: May 15, 2017

Area of Science:

Physics
Materials Science
Statistical Mechanics

Background:

Onsager's theory for hard particle systems is limited at high densities.
Existing models do not provide realistic equations of state for nematic phases.

Purpose of the Study:

To derive a mean-field density functional for the Helmholtz free energy of hard-core repulsive nematics.
To develop a more accurate equation of state for these systems.

Main Methods:

Utilizing a mean-field density functional approach.
Deriving the Helmholtz free energy for nematics with hard-core repulsion.

Main Results:

The derived model predicts the isotropic-nematic phase transition.
It offers a more realistic equation of state compared to previous theories.
The model reveals a richer energy landscape and a unique orientational probability distribution.

Conclusions:

The new model improves the description of hard-core repulsive nematic systems.
It provides a more accurate theoretical framework for understanding their thermodynamic behavior.