The Influence of a Pitchfork Bifurcation of the Critical Points of a Symmetric Caldera Potential Energy Surface on Dynamical Matching

Y. Geng, M. Katsanikas, M. Agaoglou, S. Wiggins

correctmedium confidence

Category: Not specified
Journal tier: Specialist/Solid
Processed: Sep 28, 2025, 12:55 AM
arXiv Links: Abstract ↗PDF ↗

Audit review

The paper empirically identifies and uses a pitchfork bifurcation at c1≈1.32 to explain when dynamical matching holds/fails and validates it with trajectory statistics. The model reproduces the same phenomenon and numerics and further supplies a correct analytic derivation of the critical parameter c1* via stationary-point equations (modulo a minor algebraic slip in one elimination step that does not affect the final result). Methods for initial-condition selection, energy choice, and exit classification match the paper’s, and the predicted behaviors on both sides of the bifurcation agree.

Referee report (LaTeX)

\textbf{Recommendation:} minor revisions

\textbf{Journal Tier:} specialist/solid

\textbf{Justification:}

The central claim—that a pitchfork bifurcation of critical points in a symmetric caldera PES can break dynamical matching without breaking symmetry—is clearly demonstrated and is of interest to specialists in reaction dynamics. The paper’s numerical protocol is standard and well motivated. Adding a brief analytic derivation of the bifurcation threshold and Hessian classifications would elevate clarity and completeness without changing conclusions.