Metastability associated with many-body explosion of eigenmode expansion coefficients

Metastable states in stochastic systems are often characterized by the presence of small eigenvalues generator dynamics. We here show that metastability many-body is not necessarily associated with eigenvalues. Instead, explosion eigenmode expansion coefficients characterizes slow relaxation, which demonstrated for two models, interacting particles a double-well potential and Fredrickson-Andersen model, latter prototypical example kinetically constrained models studied glass jamming transitions. Our results provide insights into relaxation systems.