# Dissipation dynamics with two distinct chaotic baths

## TL;DR

This paper investigates how a harmonic oscillator dissipates energy into two different chaotic baths, revealing that energy preferentially flows into the more chaotic environment regardless of initial conditions.

## Contribution

It extends previous dissipation studies by analyzing the effects of two distinct chaotic baths and developing a linear response theory for the system.

## Key findings

- Energy flows more into the more chaotic bath
- Chaotic parameters influence dissipation dynamics
- Linear response theory describes the energy transfer

## Abstract

Dissipation using a finite environment coupled to a single harmonic oscillator have been studied quite extensively. We extend the study by looking at the dynamics of the dissipation when we introduce a second bath of N identical quartic systems different from the 1st bath. We look at the energy flow into the environment as a function of the chaotic parameters of the bath and also try to develop a linear response theory to describe the system. The energy flow is always more to the more chaotic system irrespective of the initial energy of the baths.