# Quark Matter 2017

5-11 February 2017
Hyatt Regency Chicago
America/Chicago timezone

## Hydrodynamic fluctuations in Pb+Pb collisions at LHC

8 Feb 2017, 11:40
20m
Regency B

### Regency B

Oral Correlations and Fluctuations

Azumi Sakai

### Description

Fluctuations have been playing an important role in understanding observables
in high-energy nuclear collisions.
It is well known that
higher harmonics of azimuthal angle distribution, for example, can be attributed to
initial fluctuations of transverse profile from event to event.
In this presentation, we focus on thermal fluctuations
during hydrodynamic evolution of the system in the intermediate stage
of the reactions.
These fluctuations are also known as hydrodynamic fluctuations and
are indispensable for the system to be stabilized
in a thermodynamic sense through
fluctuation-dissipation theorem [1].

We employ a cutting-edge integrated dynamical model [2,3]
which combines fully (3+1)-dimensional relativistic fluctuating hydrodynamics
with Monte-Carlo version of the Glauber model as an
event-by-event initialization model of the hydrodynamic fields
By using this model, we first adjust initial parameters
and transport coefficeints to reproduce $dN_{\mathrm{ch}}/d\eta$
and centrality dependence of integrated $v_{2}$
in Pb+Pb collisions at the LHC energy.
We then analyze the event-plane correlations
between two different rapidity regions $r_{n}(\eta^a, \eta^b)$
and between two different $p_{T}$ regions $r_{n}(p^a_{\rm{T}},p^b_{\rm{T}})$.
By switching on and off hydrodynamic fluctuations,
we quantify the effect of them
on these observables.

References

[1] K.Murase and T.Hirano,
Relativistic fluctuating hydrodynamics with memory functions and colored noises,''
arXiv:1304.3243 [nucl-th].

[2] Koichi Murase, Causal hydrodynamic fluctuations and their effects on high-energy
nuclear collisions'', Ph.~D thesis, the University of Tokyo (2015).

[3] K.Murase and T.Hirano, Hydrodynamic fluctuations and dissipation in an integrated dynamical model'', arXiv: 1601.02260 [nucl-th].

Preferred Track Correlations and Fluctuations Not applicable