Unveiling the singular dynamics in the cosmic large-scale structure. (arXiv:1912.00868v2 [astro-ph.CO] UPDATED)
<a href="http://arxiv.org/find/astro-ph/1/au:+Rampf_C/0/1/0/all/0/1">Cornelius Rampf</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Frisch_U/0/1/0/all/0/1">Uriel Frisch</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Hahn_O/0/1/0/all/0/1">Oliver Hahn</a>
It is well-known that the gravitational collapse of cold dark matter leads to
infinite-density caustics that seed the primordial dark-matter halos in the
large-scale structure. The development of these caustics begins, generically,
as an almost one-dimensional phenomenon with the formation of pancakes.
Focusing on the one-dimensional case, we identify a landscape of so far unknown
singularities in the particle acceleration that emerge after the first crossing
of particle trajectories. We complement our fully analytical studies by
high-resolution simulations and find outstanding agreement, particularly
shortly after the first crossing. We develop the methods in one space dimension
but outline briefly the necessary steps for the 3D case.
It is well-known that the gravitational collapse of cold dark matter leads to
infinite-density caustics that seed the primordial dark-matter halos in the
large-scale structure. The development of these caustics begins, generically,
as an almost one-dimensional phenomenon with the formation of pancakes.
Focusing on the one-dimensional case, we identify a landscape of so far unknown
singularities in the particle acceleration that emerge after the first crossing
of particle trajectories. We complement our fully analytical studies by
high-resolution simulations and find outstanding agreement, particularly
shortly after the first crossing. We develop the methods in one space dimension
but outline briefly the necessary steps for the 3D case.
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