# Stochastic heating of cooling flows

## TL;DR

This paper models how stochastic feedback from active galactic nuclei can rapidly stabilize the energy balance in galaxy cluster atmospheres, ensuring long-term thermal stability.

## Contribution

It introduces a generalized analytical model demonstrating that stochastic AGN feedback can achieve exponential energy equilibrium in galaxy clusters.

## Key findings

- Energy equilibrium reached exponentially quickly
- Robustness of results to model parameter variations
- Variability influenced by system parameters

## Abstract

It is generally accepted that the heating of gas in clusters of galaxies by active galactic nuclei (AGN) is a form of feedback. Feedback is required to ensure a long term, sustainable balance between heating and cooling. This work investigates the impact of proportional stochastic feedback on the energy balance in the intracluster medium. Using a generalised analytical model for a cluster atmosphere, it is shown that an energy equilibrium can be reached exponentially quickly. Applying the tools of stochastic calculus it is demonstrated that the result is robust with regard to the model parameters, even though they affect the amount of variability in the system.