Field Theory of Stability in Accelerating Complex Systems Reaction-Diffusion Dynamics of the Critical Sensitivity Parameter Ψ(x,t)

Key Points

• This research aims to describe stability in accelerating complex systems using a field-theoretic approach.
• Developed a scalar field model for critical sensitivity Ψ(x,t)
• Analyzed the dynamical behavior of reaction-diffusion systems
• Comparatively evaluated instabilities against quasi-static thresholds
• Identified new types of instabilities not captured by traditional methods
• Demonstrated the efficacy of the field-theoretic model in predicting system behavior
• Showed that critical sensitivity plays a crucial role in stability dynamics