Phys. Rev. Lett. 88, 211301 (2002) [4 pages]Nonlinear Kinetic Sunyaev-Zeldovich EffectReceived 19 June 2001; revised 19 December 2001; published 13 May 2002 We derive fully nonlinear expressions for temperature fluctuations from the kinetic Sunyaev-Zeldovich (SZ) effect, the scattering of cosmic microwave background photons off hot electrons in bulk motion. Our result reproduces the Ostriker-Vishniac effect to second order in perturbation theory but contains nonlinear corrections to the electron velocities and densities that were neglected previously. We use the recently developed halo model for nonlinear gravitational clustering to compute the nonlinear kinetic SZ power spectrum, which dominates the primary anisotropy on small angular scales. © 2002 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.88.211301
DOI:
10.1103/PhysRevLett.88.211301
PACS:
98.70.Vc, 98.65.Dx, 98.80.Es
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