Metastability for General Dynamics with Rare Transitions: Escape Time and Critical Configurations

@article{Cirillo2014MetastabilityFG,
  title={Metastability for General Dynamics with Rare Transitions: Escape Time and Critical Configurations},
  author={Emilio N. M. Cirillo and Francesca R. Nardi and Julien Sohier},
  journal={Journal of Statistical Physics},
  year={2014},
  volume={161},
  pages={365-403}
}
Metastability is a physical phenomenon ubiquitous in first order phase transitions. A fruitful mathematical way to approach this phenomenon is the study of rare transitions Markov chains. For Metropolis chains associated with statistical mechanics systems, this phenomenon has been described in an elegant way in terms of the energy landscape associated to the Hamiltonian of the system. In this paper, we provide a similar description in the general rare transitions setup. Beside their theoretical… 

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