Extracting more information from entropy

TL;DR

This paper investigates the relationship between entropy evolution and quasi-normal modes in a holographic supersymmetric plasma, revealing a proportionality between entropy stairway rate and mode decay, and extends the model to include additional medium features.

Contribution

It introduces a novel analysis linking entropy density dynamics to quasi-normal mode decay in a holographic plasma, with an extended model accounting for finite temperature and chemical potential effects.

Findings

The entropy stairway pattern's growth rate is twice the decay rate of the lowest quasi-normal mode.

A model is proposed to explain how entropy encodes information about mode decay.

The analysis extends to systems with finite temperature, R-charge density, and scalar condensate, revealing shifts in dissipation channels.

Abstract

We extract the complex frequency of the lowest quasi-normal mode from the holographically computed entropy density near thermodynamic equilibrium. The system consists of a purely thermal Supersymmetric Yang-Mills N=4 plasma in homogeneous isotropization dynamics. The initial state is far-from-equilibrium, proceeding to thermalization over time. The system evolves to equilibrium entropy forming a stairway pattern. The analysis reveals that the rate of increase of the stairway is twice the decay rate of the lowest quasi-normal mode. This leads us to propose a model explaining how this information is encoded in entropy. The model is extended to consider finite temperature, R-charge density and scalar condensate of the medium, disclosing an additional feature. The system's main dissipation channel may shift to one driven by the scalar condensate, depending on the chemical potential.