2024/09/27 by Kedar S. Kolekar, Taniya Mandal, Kolekar, Kedar S. +4 · 3 citations
Engineering · #FOS: Physical sciences #Fluid Dynamics and Turbulent Flows #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Nuclear Theory (nucl-th)
paper · pdf · doi:10.48550/arxiv.2409.18763
openalex publication_date 2024/09/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Carroll hydrodynamics arises in the c→ 0 limit of relativistic hydrodynamics. Instances of its relevance include the Bjorken and Gubser flow models of heavy-ion collisions, where the ultrarelativistic nature of the flow makes the physics effectively Carrollian. In this paper, we explore the structure of hydrodynamics in what can be termed as the Carrollian regime, where instead of keeping only the leading terms in the c→ 0 limit of relativistic hydrodynamics, we perform a small-c expansion and retain the subleading terms as well. We do so both for perfect fluids as well as viscous fluids incorporating first order derivative corrections. As apposite applications of the formalism, we utilize the subleading terms to compute modifications to the Bjorken and Gubser flow equations which bring in, in particular, dependence on rapidity.