Dynamical instantons and activated processes in mean-field glass models

@article{Ros2020DynamicalIA,
  title={Dynamical instantons and activated processes in mean-field glass models},
  author={Valentina Ros and Giulio Biroli and Chiara Cammarota},
  journal={arXiv: Disordered Systems and Neural Networks},
  year={2020}
}
We focus on the energy landscape of simple mean-field models of glasses and analyze activated barrier-crossing by combining the Kac-Rice method for high-dimensional Gaussian landscapes with dynamical field theory. In particular, we consider Langevin dynamics at low temperature in the energy landscape of the spherical $p$-spin model. We select as initial condition for the dynamics one of the many unstable index-1 saddles in the vicinity of a reference local minimum. We show that the associated… Expand
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