Thermodynamics of Plasmaballs and Plasmarings in 3+1 Dimensions

TL;DR

This paper investigates the thermodynamics of plasma configurations in 3+1 dimensions derived from higher-dimensional theories, providing insights into blackhole and blackring phases via fluid/gravity correspondence.

Contribution

It offers an exact solution to the relativistic Navier-Stokes equation for thin rings and performs numerical analysis of thermodynamic properties in a novel higher-dimensional context.

Findings

Exact solution for thin ring fluid configuration.

Numerical thermodynamic properties of generalized solutions.

Comparison with blackhole phase diagram in six dimensions.

Abstract

We study localized plasma configurations in 3+1 dimensional massive field theories obtained by Scherk-Schwarz compactification of 4+1 dimensional CFT to predict the thermodynamic properties of localized blackholes and blackrings in Scherk-Schwarz compactified $AdS_6$ using the AdS/CFT correspondence. We present an exact solution to the relativistic Navier-Stokes equation in the thin ring limit of the fluid configuration. We also perform a thorough numerical analysis to obtain the thermodynamic properties of the most general solution. Finally we compare our results with the recent proposal for the phase diagram of blackholes in six flat dimensions and find some similarities but other differences.