# Quark Matter 2018

13-19 May 2018
Venice, Italy
Europe/Zurich timezone
The organisers warmly thank all participants for such a lively QM2018! See you in China in 2019!

## New perturbative solutions for relativistic hydrodynamics and the effect of longitudinal acceleration on spectra

15 May 2018, 17:00
2h 40m
First floor and third floor (Palazzo del Casinò)

### First floor and third floor

#### Palazzo del Casinò

Poster Initial state physics and approach to equilibrium

### Speaker

Mr Zefang Jiang (CCNU)

### Description

In this work, we aim to investigate analytical solutions which take into account the longitudinal acceleration effect of fluid dynamics for nucleus-nucleus collisions. Starting from the equations for dissipative fluid dynamics, a new perturbative analytical solution for $1+d$ dimensional accelerating relativistic viscous hydrodynamics is presented.
From this accelerating hydrodynamic theory, the solution not only contains the general first-order viscous construct, but also includes a longitudinal acceleration parameter. The results show that, with the longitudinally accelerating hydrodynamic expansion, the temperature gradient becomes larger due to the acceleration effect, meanwhile the viscous corrections will decelerate the longitudinal hydrodynamic expansion and make the cooling rate smaller. Numerical results on the transverse momentum spectra, rapidity spectra and pseudo-rapidity spectra in the final state, are given for different values of the acceleration parameter, shear (bulk) viscosity to entropy density ratio $\eta/s$ ($\zeta/s$), and speed of sound $c_{s}$.

Content type Theory Presenter name already specified

### Primary authors

Mr Zefang Jiang (CCNU) Prof. Chunbin Yang (CCNU) Prof. Tamas Csorgo (Hungarian Academy of Sciences (HU)) Prof. Mate Csanad (Eotvos University, Budapest)

### Presentation Materials

 CKCJ solution Initial energy density calculation paper JiangZF-QM2018-poster.pdf