General formulation of transverse hydrodynamics

TL;DR

This paper develops a general framework for transverse hydrodynamics in ultra-relativistic heavy-ion collisions, highlighting differences from standard three-dimensional models and emphasizing conservation laws and thermodynamic consistency.

Contribution

It introduces a novel formulation of hydrodynamics for transversally thermalized matter, expanding the theoretical understanding of early-stage collision dynamics.

Findings

Highlights differences between transverse and 3D hydrodynamics

Emphasizes importance of conservation laws in the model

Ensures thermodynamic consistency of 2D variables

Abstract

General formulation of hydrodynamics describing transversally thermalized matter created at the early stages of ultra-relativistic heavy-ion collisions is presented. Similarities and differences with the standard three-dimensionally thermalized relativistic hydrodynamics are discussed. The role of the conservation laws as well as the thermodynamic consistency of two-dimensional thermodynamic variables characterizing transversally thermalized matter is emphasized.