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 introduce the Fisher information in the basis of decay modes of Markoviandynamics, arguing that it encodes important information about the behavior ofnonequilibrium systems. In particular we generalize an orthonormality relationbetween decay eigenmodes of detailed balanced systems to normal generators thatcommute with their time-reversal. Viewing such modes as tangent vectors to themanifold of statistical distributions, we relate the result to the choice of acoordinate patch that makes the Fisher-Rao metric Euclidean at the steadydistribution, realizing a sort of statistical equivalence principle. We thenclassify nonequilibrium systems according to their spectrum, showing that adegenerate Fisher matrix is the signature of the insurgence of a class ofdynamical phase transitions between nonequilibrium regimes, characterized bylevel crossing and power-law decay in time of suitable order parameters. Animportant consequence is that normal systems cannot manifest critical behavior.Finally, we study the Fisher matrix of systems with time-scale separation.

Fisher information of Markovian decay modes - Nonequilibrium equivalence principle, dynamical phase transitions and coarse graining