Metastable transitions in inertial Langevin systems: what can be different from the overdamped case?
Abstract
Metastable transitions in Langevin dynamics can exhibit rich behaviors that are markedly different from its overdamped limit. In addition to local alterations of the transition path geometry, more fundamental global changes may exist. For instance, when the dissipation is weak, heteroclinic connections that exist in the overdamped limit do not necessarily have a counterpart in the Langevin system, potentially leading to different transition rates. Furthermore, when the friction coefficient depends on the velocity, the overdamped limit no longer exists, but it is still possible to efficiently find instantons. The approach we employed for these discoveries was based on (i) a simple rewriting of the FreidlinWentzell action in terms of timereversed dynamics, and (ii) an adaptation of the string method, which was originally designed for gradient systems, to this specific nongradient system.
 Publication:

arXiv eprints
 Pub Date:
 January 2018
 arXiv:
 arXiv:1801.05776
 Bibcode:
 2018arXiv180105776S
 Keywords:

 Physics  Computational Physics;
 Condensed Matter  Statistical Mechanics;
 Mathematics  Dynamical Systems;
 Mathematics  Numerical Analysis;
 Mathematics  Probability
 EPrint:
 Comments will be greatly appreciated