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 Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We consider the long-term evolution of an inhomogeneous long-rangeinteracting $N$-body system. Placing ourselves in the dynamically hot limit,i.e. neglecting collective effects, we derive a large deviation principle forthe system's empirical angle-averaged distribution function. This resultextends the classical ensemble-averaged kinetic theory given by the so-calledinhomogeneous Landau equation, as it specifies the probability of typical andlarge dynamical fluctuations. We detail the main properties of the associatedlarge deviation Hamiltonian, in particular how it complies with the system'sconservation laws and possesses a gradient structure.

Dynamical large deviations for long-range interacting inhomogeneous systems without collective effects