Metastability associated with many-body explosion of eigenmode expansion coefficients

Takashi Mori

doi:10.1103/physrevresearch.3.043137

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arXiv · 2102.05796

Metastability associated with many-body explosion of eigenmode expansion coefficients

Takashi Mori

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Abstract

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

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Takashi Mori. 2021-02-11. Metastability associated with many-body explosion of eigenmode expansion coefficients. https://doi.org/10.1103/physrevresearch.3.043137

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