Semi-Analytical Jeans Filtering Functions for Baryonic Density and Velocity Fields in Second-Order Cosmological Perturbation Theory

This work develops an analytical method to describe how baryonic fluctuations evolve in density and velocity fields at second order within cosmological perturbation theory. By introducing Jeans Filtering Functions (JFFs), the study shows how pressure effects shift the filtering scale, influencing key parameters like the filtering mass and component temperatures.

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