The Halo Boltzmann Equation

Abstract

Dark matter halos are the building blocks of the universe as they host galaxies and clusters. The knowledge of the clustering properties of halos is therefore essential for the understanding of the galaxy statistical properties. We derive an effective halo Boltzmann equation which can be used to describe the halo clustering statistics. In particular, we show how the halo Boltzmann equation encodes a statistically biased gravitational force which generates a bias in the peculiar velocities of virialized halos with respect to the underlying dark matter, as recently observed in N-body simulations.

23 pages, 3 figures, comments are welcome, v2 matches published version in JCAP

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• Large-Scale Galaxy Bias
• A null test of the equivalence principle using relativistic effects in galaxy surveys
• Covariant cosmography: the observer-dependence of the Hubble parameter
• Phenomenology of BAO evolution from Lagrangian to Eulerian Space
• Statistical Mechanics of Collisionless Orbits. V. The approach to equilibrium for idealized self-gravitating systems
• Symmetries, Invariants and Generating Functions: Higher-order Statistics of Biased Tracers