Dissipative type theories for Bjorken and Gubser flows

TL;DR

This paper applies dissipative type theories to model the evolution of conformal fluids in Bjorken and Gubser flows, demonstrating consistency with existing solutions and ensuring thermodynamic laws are upheld at all orders.

Contribution

It introduces the use of DTT framework for these flows, highlighting its accuracy, thermodynamic consistency, and adaptability to complex scenarios.

Findings

Results align well with exact and hydrodynamic solutions

DTT enforces the Second Law of thermodynamics at all orders

Framework is easily generalizable to complex systems

Abstract

We use the dissipative type theory (DTT) framework to solve for the evolution of conformal fluids in Bjorken and Gubser flows from isotropic initial conditions. The results compare well with both exact and other hydrodynamic solutions in the literature. At the same time, DTTs enforce the Second Law of thermodynamics as an exact property of the formalism, at any order in deviations from equilibrium, and are easily generalizable to more complex situations.