Eigen Microstate Entropy Predicts Phase Transitions
Published:Dec 28, 2025 21:28
•1 min read
•ArXiv
Analysis
This paper introduces a new metric, eigen microstate entropy ($S_{EM}$), to detect and interpret phase transitions, particularly in non-equilibrium systems. The key contribution is the demonstration that $S_{EM}$ can provide early warning signals for phase transitions, as shown in both biological and climate systems. This has significant implications for understanding and predicting complex phenomena.
Key Takeaways
- •Introduces eigen microstate entropy ($S_{EM}$) as a novel complexity metric.
- •Demonstrates $S_{EM}$'s utility in detecting phase transitions in equilibrium and non-equilibrium systems.
- •Shows $S_{EM}$ provides early warning signals for phase transitions in biological and climate systems.
- •Positions $S_{EM}$ as a general framework for interpreting phase transitions.
Reference
“A significant increase in $S_{EM}$ precedes major phase transitions, observed before biomolecular condensate formation and El Niño events.”