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

The connection between the two-point and the three-point correlationfunctions in the non-linear gravitational clustering regime is studied. Under ascaling hypothesis, we find that the three-point correlation function, $\zeta$,obeys the scaling law $\zeta\propto \xi^{\frac{3m+4w-2\epsilon}{2m+2w}}$ in thenonlinear regime, where $\xi$, $m$, $w$, and $\epsilon$ are the two-pointcorrelation function, the power index of the power spectrum in the nonlinearregime, the number of spatial dimensions, and the power index of the phasecorrelations, respectively. The new formula reveals the origin of the powerindex of the three-point correlation function. We also obtain the theoreticalcondition for which the ``hierarchical form'' $\zeta\propto\xi^2$ isreproduced.Comment: 16 pages, 4 figures. Accepted for publication in APJ. Some sentences  and figures are revise

The Relation between the Two‐Point and Three‐Point Correlation Functions in the Nonlinear Gravitational Clustering Regime