# Transverse momentum spectra

Huichao Song, 05/17/2008

Transverse momentum spectrum for gluons for ideal and viscous hydro (HS+UH, VISH2+1 with full I-S eqns.):
Dotted lines include viscous flow effects only and neglect viscous correction to the distribution fct.
(The spectra for b = 7 fm were multiplied with 0.1 for clarity.)

This figure was updated by H.S. on 09/08/2008 by using totally identical initialization for H&S and R&R eqns, old figure and explanaton could be found at Note for transverse momentum spectra

The figure above was updated on 08/04/2008 by H.S. to include an comparison between different full I-S eqn:

• full I-S eqn-(R&R): ${\displaystyle \Delta _{j}^{m}\Delta _{k}^{n}{\dot {\pi }}^{jk}=-{\frac {1}{\tau _{\pi }}}(\pi ^{mn}{-}2\eta \sigma ^{mn})+{\frac {1}{2}}\pi ^{mn}\left(5D(\ln T)-\partial _{k}u^{k}\right)}$
• full I-S eqn-(S&H):${\displaystyle \Delta _{j}^{m}\Delta _{k}^{n}{\dot {\pi }}^{jk}=-{\frac {1}{\tau _{\pi }}}(\pi ^{mn}{-}2\eta \sigma ^{mn})-{\frac {1}{2}}\pi ^{mn}{\frac {\eta T}{\tau _{\pi }}}d_{k}\left({\frac {\tau _{\pi }}{\eta T}}u^{k}\right)}$

Other formats and data tables for this figure can be downloaded here: Au-global-0508.tar

Kevin Dusling, 7/1/08

Comparison of pt spectra for models of KD+DT and HS+UH
Transverse momentum spectra for Gluons.
The upper curves show the Ideal results. The middle curves show the viscous result without the viscous correction to the distribution function (fo only). Note that the result was scaled by 0.1 for clarity. The lower curves show the full viscous result (scaled by 0.01). The solid black line shows the Ideal result of Dusling/Teaney for comparison.

The raw data for Dusling/Teaney is here:
Ideal
Viscous