Velocity Statistics in Holographic Fluids: Magnetized Quark-Gluon Plasma and Superfluid Flow

TL;DR

This paper investigates the velocity distribution of heavy particles in holographic fluids, finding a general $1/v$ behavior with deviations in non-relativistic regimes, through analysis of magnetized quark-gluon plasma and superfluid flow models.

Contribution

It provides a detailed analysis of velocity statistics in holographic fluids, including new insights into regimes beyond the non-relativistic limit using top-down supergravity solutions.

Findings

Velocity statistics generally follow a $1/v$ distribution.

Deviations occur when moving away from the non-relativistic regime.

Magnetized quark-gluon plasma and superfluid flow models exhibit similar velocity behaviors.

Abstract

We study the velocity statistics distribution of an external heavy particle in holographic fluids. We argue that when the dual supergravity background has a finite temperature horizon the velocity statistics goes generically as $1/v$, compatible with the jet-quenching intuition from the quark-gluon plasma. A careful analysis of the behavior of the classical string whose apparent worldsheet horizon deviates from the background horizon reveals that other regimes are possible. We numerically discuss two cases: the magnetized quark-gluon plasma and a model of superfluid flow. We explore a range of parameters in these top-down supergravity solutions including, respectively, the magnetic field and the superfluid velocity. We determine that the velocity statistics goes largely as $1/v$, however, as we leave the non-relativistic regime we observe some deviations.