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Abstract: We present a novel method for generation of sets of the Cosmic MicrowaveBackground CMB anisotropy maps, which reproduces the $\Delta \l=2$correlations associated with Alfv\-en turbulence. The method is based on thenon-linear transformation of the CMB maps, which is obtained from the MonteCarlo simulation of the statistically isotropic Gaussian signal. Our method iscomputationally fast and efficient.We have applied two estimators the cross-correlation estimator in multipoledomain for $\l+1,m$ and $\l-1,m$ modes and circular phase moments to test thestatistical properties of derived maps. Both of these statistics confirm theeffectiveness of our generation method. We believe that our method can beuseful for fast generation of the non-Gaussian maps in the presence of theprimordial magnetic field, and be a valuable tool for the non-Gaussianityinvestigation of the CMB in the framework of the future PLANCK data analysis.



Author: Pavel Naselsky, Jaiseung Kim

Source: https://arxiv.org/







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