Tracking Halo Orbits and Their Mass Evolution around Large-scale
  Filaments
  It has been studied that galaxy halos evolve following a typical trajectory
on a phase space under the influence of deep gravitational potential of
clusters. Similarly, the large-scale filaments could also affect the evolution
of halos before falling into the clusters. In this study, using the suite of
dark matter only cosmological simulations called $N$-cluster run, we explore
the evolution of halos driven by large-scale filaments in phase space. We find
that halos around filaments exhibit phase-space trajectories with similarities
as galaxies in clusters. We analyze this phase-space trajectory by exploring
correlations between halos' initial position, velocity, formation time, and
maximum velocity. We also examine the mass evolution of halos as they become
filament halos. It turns out that halos tend to grow their mass when they first
approach filaments, but the mass growth slows down around the closest approach
to filaments. Around denser filaments, halos can undergo mild mass loss while
they sink into filaments. Finally we explain the mass segregation around
filaments in observations with halo age and dynamical friction.
