Concept of interbasin mixing and extension of the Lyapunov exponent in multiple potential-basin dynamics as in structural isomerization of clusters

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  • Kazuo Takatsuka
    Department of Basic Science, Graduate School of Arts and Sciences, The University of Tokyo, Komaba, Tokyo 153-8902, Japan
  • Chihiro Seko
    Graduate School of Human Informatics, Nagoya University, Nagoya 464-8601, Japan

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<jats:p>For Hamilton dynamics on a potential that has multiple local basins as in structural isomerization reaction of clusters, a notion of interbasin mixing is introduced that is responsible for Markov-type stochastic appearance of molecular structures. An extension of the Lyapunov exponent to quantify the time scale to reach interbasin mixing is proposed. The present dynamics also serves as a prototype of multichannel chemical reactions.</jats:p>

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