A Mathematical Model for Predicting Phase Transition and Structural Recovery Points in Threshold-Governed Systems

Key Points

• The aim is to develop a mathematical model to predict phase transition and structural recovery in dynamic systems governed by thresholds.
• Developed a mathematical model calculating breakdown momentum.
• Analyzed the relationship between acceleration and velocity.
• Calculated the rate of change in structural resilience.
• The model successfully predicts phase transition points with high accuracy.
• Demonstrated a quantifiable relationship between acceleration and structural resilience.