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 Plus annual

Presents the access of premium content as premium feature

Premium Content

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 annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We compute semi-analytic and numerical estimates for the largest Lyapunovexponent in a many-particle system with long-range interactions, extendingprevious results for the Hamiltonian Mean Field model with a cosine potential.Our results evidence a critical exponent associated to a power law decay of thelargest Lyapunov exponent close to second-order phase-transitions, close to thesame value as for the cosine Hamiltonian Mean Field model, suggesting thepossible universality of this exponent. We also show that the exponent forfirst-order phase transitions has a different value from both theoretical andnumerical estimates.

Critical Exponent for the Lyapunov Exponent and Phase Transitions -- The Generalized Hamiltonian Mean-Field Model