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

The pairwise velocity generating function $G$ has deep connection with boththe pairwise velocity probability distribution function and modeling ofredshift space distortion (RSD). Its implementation into RSD modeling is oftenfaciliated by expansion into series of pairwise velocity moments $\langlev_{12}^n\rangle$. Motivated by the logrithmic transformation of the cosmicdensity field, we investigate an alternative expansion into series of pairwisevelocity cumulants $\langle v_{12}^n\rangle_c$ . We numerically evaluate theconvergence rate of the two expansions, with three $3072^3$ particlesimulations of the CosmicGrowth N-body simulation series. (1) We find that thecumulant expansion performs significantly better, for all the halo samples andredshifts investigated. (2) For modeling RSD at $k_{\|}<0.1 h$ Mpc$^{-1}$,including only the $n=1,2$ cumulants is sufficient. (3) But for modeling RSD at$k_\parallel=0.2 h$ Mpc$^{-1}$, we need and only need the $n=1,2,3,4$cumulants. These results provide specific requirements on RSD modeling in termsof $m$-th order statistics of the large scale strucure.

Expansion series of the pairwise velocity generating function and its implications on redshift space distortion modeling