Author:
Chluba Jens,Ravenni Andrea,Kite Thomas
Abstract
Abstract
In this paper, we formulate a generalised photon Boltzmann hierarchy that allows us to
model the evolution and creation of spectral distortion anisotropies caused by energy
release in the early Universe. We directly build on our first paper in this series, extending
the thermalisation Green's function treatment to the anisotropic case. We show that the problem
can be described with the common Boltzmann hierarchy for the photon field extended by new spectral
parameters — a step that reduces the complexity of the calculation by at least two orders of
magnitude. Our formalism describes the effects of i) Doppler and potential driving, ii) spectral
evolution by Compton scattering, iii) perturbed thermalisation and iv) anisotropic heating on the
distortion anisotropies. We highlight some of the main physical properties of the equations and
also outline the steps for computing CMB power spectra including distortion
anisotropies. Limitations and extensions of the formulation are also briefly discussed. The novel
Boltzmann hierarchy given here is the basis for a series of companion papers studying how
distortion anisotropies evolve in the perturbed Universe and which physical processes could be
constrained using future CMB imaging techniques.
Subject
Astronomy and Astrophysics
Cited by
2 articles.
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