dorsal/arxiv
View SchemaDissipative hydrodynamics in 2+1 dimension
| Authors | A. K. Chaudhuri |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0604014 |
| URL | https://arxiv.org/abs/nucl-th/0604014 |
| DOI | 10.1103/PhysRevC.74.044904 |
| Journal | Phys.Rev.C74:044904,2006 |
Abstract
In 2+1 dimension, we have simulated the hydrodynamic evolution of QGP fluid with dissipation due to shear viscosity. Comparison of evolution of ideal and viscous fluid, both initialised under the same conditions e.g. same equilibration time, energy density and velocity profile, reveal that the dissipative fluid evolves slowly, cooling at a slower rate. Cooling get still slower for higher viscosity. The fluid velocities on the otherhand evolve faster in a dissipative fluid than in an ideal fluid. The transverse expansion is also enhanced in dissipative evolution. For the same decoupling temperature, freeze-out surface for a dissipative fluid is more extended than an ideal fluid. Dissipation produces entropy as a result of which particle production is increased. Particle production is increased due to (i) extension of the freeze-out surface and (ii) change of the equilibrium distribution function to a non-equilibrium one, the last effect being prominent at large transverse momentum. Compared to ideal fluid, transverse momentum distribution of pion production is considerably enhanced. Enhancement is more at high $p_T$ than at low $p_T$. Pion production also increases with viscosity, larger the viscosity, more is the pion production. Dissipation also modifies the elliptic flow. Elliptic flow is reduced in viscous dynamics. Also, contrary to ideal dynamics where elliptic flow continues to increase with transverse momentum, in viscous dynamics, elliptic flow tends to saturate at large transverse momentum. The analysis suggest that initial conditions of the hot, dense matter produced in Au+Au collisions at RHIC, as extracted from ideal fluid analysis can be changed significantly if the QGP fluid is viscous.
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"abstract": "In 2+1 dimension, we have simulated the hydrodynamic evolution of QGP fluid\nwith dissipation due to shear viscosity. Comparison of evolution of ideal and\nviscous fluid, both initialised under the same conditions e.g. same\nequilibration time, energy density and velocity profile, reveal that the\ndissipative fluid evolves slowly, cooling at a slower rate. Cooling get still\nslower for higher viscosity. The fluid velocities on the otherhand evolve\nfaster in a dissipative fluid than in an ideal fluid. The transverse expansion\nis also enhanced in dissipative evolution. For the same decoupling temperature,\nfreeze-out surface for a dissipative fluid is more extended than an ideal\nfluid. Dissipation produces entropy as a result of which particle production is\nincreased. Particle production is increased due to (i) extension of the\nfreeze-out surface and (ii) change of the equilibrium distribution function to\na non-equilibrium one, the last effect being prominent at large transverse\nmomentum. Compared to ideal fluid, transverse momentum distribution of pion\nproduction is considerably enhanced. Enhancement is more at high $p_T$ than at\nlow $p_T$. Pion production also increases with viscosity, larger the viscosity,\nmore is the pion production. Dissipation also modifies the elliptic flow.\nElliptic flow is reduced in viscous dynamics. Also, contrary to ideal dynamics\nwhere elliptic flow continues to increase with transverse momentum, in viscous\ndynamics, elliptic flow tends to saturate at large transverse momentum. The\nanalysis suggest that initial conditions of the hot, dense matter produced in\nAu+Au collisions at RHIC, as extracted from ideal fluid analysis can be changed\nsignificantly if the QGP fluid is viscous.",
"arxiv_id": "nucl-th/0604014",
"authors": [
"A. K. Chaudhuri"
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"doi": "10.1103/PhysRevC.74.044904",
"journal_ref": "Phys.Rev.C74:044904,2006",
"title": "Dissipative hydrodynamics in 2+1 dimension",
"url": "https://arxiv.org/abs/nucl-th/0604014"
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