Cargando…
(3+1)-dimensional anisotropic fluid dynamics with a lattice QCD equation of state
Anisotropic hydrodynamics improves upon standard dissipative fluid dynamics by treating certain large dissipative corrections nonperturbatively. Relativistic heavy-ion collisions feature two such large dissipative effects: (i) Strongly anisotropic expansion generates a large shear stress component w...
Autores principales: | , , |
---|---|
Lenguaje: | eng |
Publicado: |
2018
|
Materias: | |
Acceso en línea: | https://dx.doi.org/10.1103/PhysRevC.97.054912 http://cds.cern.ch/record/2307113 |
_version_ | 1780957616955981824 |
---|---|
author | McNelis, M. Bazow, D. Heinz, U. |
author_facet | McNelis, M. Bazow, D. Heinz, U. |
author_sort | McNelis, M. |
collection | CERN |
description | Anisotropic hydrodynamics improves upon standard dissipative fluid dynamics by treating certain large dissipative corrections nonperturbatively. Relativistic heavy-ion collisions feature two such large dissipative effects: (i) Strongly anisotropic expansion generates a large shear stress component which manifests itself in very different longitudinal and transverse pressures, especially at early times. (ii) Critical fluctuations near the quark-hadron phase transition lead to a large bulk viscous pressure on the conversion surface between hydrodynamics and a microscopic hadronic cascade description of the final collision stage. We present a new dissipative hydrodynamic formulation for nonconformal fluids where both of these effects are treated nonperturbatively. The evolution equations are derived from the Boltzmann equation in the 14-moment approximation, using an expansion around an anisotropic leading-order distribution function with two momentum-space deformation parameters, accounting for the longitudinal and transverse pressures. To obtain their evolution we impose generalized Landau matching conditions for the longitudinal and transverse pressures. We describe an approximate anisotropic equation of state that relates the anisotropy parameters with the macroscopic pressures. Residual shear stresses are smaller and are treated perturbatively, as in standard second-order dissipative fluid dynamics. The resulting optimized viscous anisotropic hydrodynamic evolution equations are derived in 3+1 dimensions and tested in a (0+1)-dimensional Bjorken expansion, using a state-of-the-art lattice equation of state. Comparisons with other viscous hydrodynamical frameworks are presented. |
id | cern-2307113 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2018 |
record_format | invenio |
spelling | cern-23071132021-10-08T02:21:02Zdoi:10.1103/PhysRevC.97.054912http://cds.cern.ch/record/2307113engMcNelis, M.Bazow, D.Heinz, U.(3+1)-dimensional anisotropic fluid dynamics with a lattice QCD equation of statehep-phParticle Physics - Phenomenologynucl-thNuclear Physics - TheoryAnisotropic hydrodynamics improves upon standard dissipative fluid dynamics by treating certain large dissipative corrections nonperturbatively. Relativistic heavy-ion collisions feature two such large dissipative effects: (i) Strongly anisotropic expansion generates a large shear stress component which manifests itself in very different longitudinal and transverse pressures, especially at early times. (ii) Critical fluctuations near the quark-hadron phase transition lead to a large bulk viscous pressure on the conversion surface between hydrodynamics and a microscopic hadronic cascade description of the final collision stage. We present a new dissipative hydrodynamic formulation for nonconformal fluids where both of these effects are treated nonperturbatively. The evolution equations are derived from the Boltzmann equation in the 14-moment approximation, using an expansion around an anisotropic leading-order distribution function with two momentum-space deformation parameters, accounting for the longitudinal and transverse pressures. To obtain their evolution we impose generalized Landau matching conditions for the longitudinal and transverse pressures. We describe an approximate anisotropic equation of state that relates the anisotropy parameters with the macroscopic pressures. Residual shear stresses are smaller and are treated perturbatively, as in standard second-order dissipative fluid dynamics. The resulting optimized viscous anisotropic hydrodynamic evolution equations are derived in 3+1 dimensions and tested in a (0+1)-dimensional Bjorken expansion, using a state-of-the-art lattice equation of state. Comparisons with other viscous hydrodynamical frameworks are presented.Anisotropic hydrodynamics improves upon standard dissipative fluid dynamics by treating certain large dissipative corrections non-perturbatively. Relativistic heavy-ion collisions feature two such large dissipative effects: (i) Strongly anisotropic expansion generates a large shear stress component which manifests itself in very different longitudinal and transverse pressures, especially at early times. (ii) Critical fluctuations near the quark-hadron phase transition lead to a large bulk viscous pressure on the conversion surface between hydrodynamics and a microscopic hadronic cascade description of the final collision stage. We present a new dissipative hydrodynamic formulation for non-conformal fluids where both of these effects are treated nonperturbatively. The evolution equations are derived from the Boltzmann equation in the 14-moment approximation, using an expansion around an anisotropic leading-order distribution function with two momentum-space deformation parameters, accounting for the longitudinal and transverse pressures. To obtain their evolution we impose generalized Landau matching conditions for the longitudinal and transverse pressures. We describe an approximate anisotropic equation of state that relates the anisotropy parameters with the macroscopic pressures. Residual shear stresses are smaller and are treated perturbatively, as in standard second-order dissipative fluid dynamics. The resulting optimized viscous anisotropic hydrodynamic evolution equations are derived in 3+1 dimensions and tested in a (0+1)-dimensional Bjorken expansion, using a state-of-the-art lattice equation of state. Comparisons with other viscous hydrodynamical frameworks are presented.arXiv:1803.01810CERN-TH-2018-043oai:cds.cern.ch:23071132018-03-05 |
spellingShingle | hep-ph Particle Physics - Phenomenology nucl-th Nuclear Physics - Theory McNelis, M. Bazow, D. Heinz, U. (3+1)-dimensional anisotropic fluid dynamics with a lattice QCD equation of state |
title | (3+1)-dimensional anisotropic fluid dynamics with a lattice QCD equation of state |
title_full | (3+1)-dimensional anisotropic fluid dynamics with a lattice QCD equation of state |
title_fullStr | (3+1)-dimensional anisotropic fluid dynamics with a lattice QCD equation of state |
title_full_unstemmed | (3+1)-dimensional anisotropic fluid dynamics with a lattice QCD equation of state |
title_short | (3+1)-dimensional anisotropic fluid dynamics with a lattice QCD equation of state |
title_sort | (3+1)-dimensional anisotropic fluid dynamics with a lattice qcd equation of state |
topic | hep-ph Particle Physics - Phenomenology nucl-th Nuclear Physics - Theory |
url | https://dx.doi.org/10.1103/PhysRevC.97.054912 http://cds.cern.ch/record/2307113 |
work_keys_str_mv | AT mcnelism 31dimensionalanisotropicfluiddynamicswithalatticeqcdequationofstate AT bazowd 31dimensionalanisotropicfluiddynamicswithalatticeqcdequationofstate AT heinzu 31dimensionalanisotropicfluiddynamicswithalatticeqcdequationofstate |