# Viscosity in cosmic fluids

## TL;DR

This paper investigates how viscous effects from dark matter self-interactions and effective large-scale structure theory combine, influencing cosmic fluid dynamics and potentially impacting cosmological models.

## Contribution

It introduces a combined model of viscosity from self-interactions and effective theory, showing how they interplay and affect cosmic fluid behavior.

## Key findings

- Viscosity from self-interactions adds inversely to effective viscosity.
- Larger self-interaction viscosity reduces overall effect.
- Implications for cosmological scenarios with self-interacting dark matter.

## Abstract

The effective theory of large-scale structure formation based on $\Lambda$CDM paradigm predicts finite dissipative effects in the resulting fluid equations. In this work, we study how viscous effect that could arise if one includes self-interaction among the dark-matter particles combines with the effective theory. It is shown that these two possible sources of dissipation can operate together in a cosmic fluid and the interplay between them can play an important role in determining dynamics of the cosmic fluid. In particular, we demonstrate that the viscosity coefficient due to self-interaction is added inversely with the viscosity calculated using effective theory of $\Lambda$CDM model. Thus the larger viscosity has less significant contribution in the effective viscosity. Using the known bounds on $\,\sigma/m$ for self-interacting dark-matter, where $\,\sigma\,$ and $m$ are the cross-section and mass of the dark-matter particles respectively, we discuss role of the effective viscosity in various cosmological scenarios.