English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Tools annual

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

We study the breakdown of Anderson localization in the one-dimensionalnonlinear Klein-Gordon chain, a prototypical example of a disordered classicalmany-body system. A series of numerical works indicate that an initiallylocalized wave packet spreads polynomially in time, while analytical studiesrather suggest a much slower spreading. Here, we focus on the decorrelationtime in equilibrium. On the one hand, we provide a mathematical theoremestablishing that this time is larger than any inverse power law in theeffective anharmonicity parameter $\lambda$, and on the other hand our numericsshow that it follows a power law for a broad range of values of $\lambda$. Thisnumerical behavior is fully consistent with the power law observed numericallyin spreading experiments, and we conclude that the state-of-the-art numericsmay well be unable to capture the long-time behavior of such classicaldisordered systems.

Slow dissipation and spreading in disordered classical systems: A direct comparison between numerics and mathematical bounds