Event-by-event distribution of magnetic field energy over initial fluid energy density in $\sqrt{s_{\rm NN}}$= 200 GeV Au-Au collisions

Roy, Victor; Pu, Shi

doi:10.1103/PhysRevC.92.064902

Event-by-event distribution of magnetic field energy over initial fluid energy density in $\sqrt{s_{\rm NN}}$ = 200 GeV Au-Au collisions

Victor Roy
(
- Frankfurt U.
)
,
Shi Pu
(
- Frankfurt U.
)

Aug 15, 2015

9 pages

Published in:

Phys.Rev.C 92 (2015) 064902

Published: Dec 3, 2015

e-Print:

1508.03761 [nucl-th]

DOI:

10.1103/PhysRevC.92.064902

View in:

pdf

reference search68 citations

Citations per year

Abstract: (arXiv)

We estimate the event-by-event (e-by-e) distribution of the ratio (

\sigma

) of the magnetic field energy to the fluid energy density in the transverse plane of Au-Au collisions at

\sqrt{s_{\rm NN}}

= 200 GeV. A Monte-Carlo (MC) Glauber model is used to calculate the

\sigma

in the transverse plane for impact parameter b=0, 12 fm at time

\tau_i\sim

0.5 fm. The fluid energy density is obtained by using Gaussian smoothing with two different smoothing parameter

\sigma_g

=0.25 , 0.5 fm. For

b=0~\rm fm

collisions

\sigma

is found to be

\ll

1 in the central region of the fireball and

\sigma\gtrsim

1 at the periphery. For b=12 fm collisions

\sigma\gtrsim

1. The e-by-e correlation between

\sigma

and the fluid energy density (

\varepsilon

) is studied. We did not find strong correlation between

\sigma

and

\varepsilon

at the centre of the fireball, whereas they are mostly anti-correlated at the periphery of the fireball.

Note:

9 pages, 12 figures

magnetic field: energy
energy: density
heavy ion: scattering
model: Glauber
hydrodynamics
fireball
correlation
transverse
fluid
impact parameter

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Event-by-event distribution of magnetic field energy over initial fluid energy density in sNN\sqrt{s_{\rm NN}}sNN​​= 200 GeV Au-Au collisions

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Event-by-event distribution of magnetic field energy over initial fluid energy density in $\sqrt{s_{\rm NN}}$ = 200 GeV Au-Au collisions