Liquid Crystals Dynamics - What Persistent Homology Reveals

Explore the dynamics of phase transitions in liquid crystals through the lens of persistent homology in this insightful conference talk. Delve into the complex world of liquid crystals, a unique state of matter that exhibits properties between conventional liquids and crystals. Learn about a powerful framework that utilizes persistent homology to track structural changes during the phase transition of a liquid crystal nanocomposite. Discover how this approach enables the detection of crucial thermodynamical features, including the onset and conclusion of phase transitions, process (ir)reversibility, and the identification of metastable configuration states. Gain a comprehensive understanding of the experimental setup, observations, and properties associated with this innovative method. Examine the application of geometric methods and persistent homology in image analysis, and explore the significance of one-norm and bottleneck distance in characterizing base transitions and dynamics. Conclude with insights into the broader implications of this research and potential avenues for further investigation in the field of liquid crystal dynamics.

Introduction
What is a liquid crystal
Phase transitions
Framework
Goals
Idea
Persistent homology in images
Geometric methods
Results
Experimental setup
Observations
Properties
One norm
bottleneck distance
base transition
dynamics
conclusions
further questions