# A Multidimensional Dependence of the Substructure Evolution on the Tidal Coherence

## TL;DR

This study investigates how the evolution of subhalo mass loss is influenced by the multidimensional tidal coherence in the large-scale structure, revealing directional dependencies and their relation to assembly bias.

## Contribution

It introduces a novel analysis of the multidimensional tidal coherence's impact on subhalo mass loss, highlighting directional effects beyond local density and ellipticity influences.

## Key findings

- Tides coherent along the first eigenvector reduce mass loss.
- Incoherence along the third eigenvector increases mass loss.
- Directional tidal coherence affects substructure evolution independently of local density.

## Abstract

We numerically explore how the subhalo mass-loss evolution is affected by the tidal coherences measured along different eigenvector directions. The mean virial-to-accretion mass ratios of the subhalos are used to quantify the severity of their mass-loss evolutions within the hosts, and the tidal coherence is expressed as an array of three numbers each of which quantifies the alignment between the tidal fields smoothed on the scales of $2$ and $30\,h^{-1}$Mpc in each direction of three principal axes. Using a Rockstar halo catalog retrieved from a N-body simulation, we investigate if and how the mass-loss evolutions of the subhalos hosted by distinct halos at fixed mass scale of [$1$-$3$]$10^{14}\,h^{-1}\,M_{\odot}$ are correlated with three components of the tidal coherence. The tides coherent along different eigenvector directions are found to have different effects on the subhalo mass-loss evolution, which cannot be ascribed to the differences in the densities and ellipticities of the local environments. It is shown that the substructures surrounded by the tides highly coherent along the first eigenvector direction and highly {\it incoherent} along the third eigenvector direction experience the least severe mass-loss evolution, while the tides highly {\it incoherent} only along the first eigenvector direction is responsible for the most severe mass-loss evolution of the subhalos. Explaining that the coherent tides have an obstructing effect on the satellite infalls onto their hosts and that the strength of the obstruction effect depends on which directions the tides are coherent or {\it incoherent} along, we suggest that the multidimensional dependence of the substructure evolution on the tidal coherence should be deeply related to the complex nature of the large-scale assembly bias.