Possible Enhancements of Collective Flow Anisotropy Induced by Uncertainty Relation for Fluid Element

TL;DR

This paper explores how velocity fluctuations, modeled via an uncertainty relation in stochastic viscous hydrodynamics, enhance the local anisotropy of momentum distributions, thereby increasing collective flow parameters like v2.

Contribution

It introduces a novel approach linking uncertainty relations to collective flow enhancement in viscous hydrodynamics using a non-relativistic toy model.

Findings

Velocity fluctuations increase local momentum anisotropy.

Enhanced collective flow parameters such as v2 observed.

Uncertainty relation influences fluid element dynamics.

Abstract

In the stochastic formulation of viscous hydrodynamics, the velocity of a fluid element fluctuates satisfying a similar relation to the quantum-mechanical uncertainty relation. Using a non-relativistic toy model, we show that the presence of such a velocity fluctuation increases the local anisotropy of the momentum distributions of produced hadrons, and thus the collective flow parameters such as $v_2$ is emphasized.