Bulk viscosity and cavitation in boost-invariant hydrodynamic expansion
We solve second order relativistic hydrodynamics equations for a boost-invariant 1+1-dimensional expanding fluid with an equation of state taken from lattice calculations of the thermodynamics of strongly coupled quark-gluon plasma. We investigate the dependence of the energy density as a function o...
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| Format: | Article |
| Language: | en_US |
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Springer Berlin / Heidelberg
2011
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| Online Access: | http://hdl.handle.net/1721.1/63177 https://orcid.org/0000-0001-5812-8718 |
| _version_ | 1811089834733731840 |
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| author | Rajagopal, Krishna Tripuraneni, Nilesh |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Rajagopal, Krishna Tripuraneni, Nilesh |
| author_sort | Rajagopal, Krishna |
| collection | MIT |
| description | We solve second order relativistic hydrodynamics equations for a boost-invariant 1+1-dimensional expanding fluid with an equation of state taken from lattice calculations of the thermodynamics of strongly coupled quark-gluon plasma. We investigate the dependence of the energy density as a function of proper time on the values of the shear viscosity η, the bulk viscosity ζ, and second order coefficients, confirming that large changes in the values of the latter have negligible effects. Varying the shear viscosity between zero and a few times s/4π, with s the entropy density, has significant effects, as expected based on other studies. Introducing a nonzero bulk viscosity also has significant effects. In fact, if the bulk viscosity peaks near the crossover temperature T c to the degree indicated by recent lattice calculations in QCD without quarks, it can make the fluid cavitate — falling apart into droplets. It is interesting to see a hydrodynamic calculation predicting its own breakdown, via cavitation, at the temperatures where hadronization is thought to occur in ultrarelativistic heavy ion collisions. |
| first_indexed | 2024-09-23T14:25:23Z |
| format | Article |
| id | mit-1721.1/63177 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T14:25:23Z |
| publishDate | 2011 |
| publisher | Springer Berlin / Heidelberg |
| record_format | dspace |
| spelling | mit-1721.1/631772022-09-29T09:22:49Z Bulk viscosity and cavitation in boost-invariant hydrodynamic expansion Rajagopal, Krishna Tripuraneni, Nilesh Massachusetts Institute of Technology. Center for Theoretical Physics Massachusetts Institute of Technology. Department of Physics Rajagopal, Krishna Rajagopal, Krishna We solve second order relativistic hydrodynamics equations for a boost-invariant 1+1-dimensional expanding fluid with an equation of state taken from lattice calculations of the thermodynamics of strongly coupled quark-gluon plasma. We investigate the dependence of the energy density as a function of proper time on the values of the shear viscosity η, the bulk viscosity ζ, and second order coefficients, confirming that large changes in the values of the latter have negligible effects. Varying the shear viscosity between zero and a few times s/4π, with s the entropy density, has significant effects, as expected based on other studies. Introducing a nonzero bulk viscosity also has significant effects. In fact, if the bulk viscosity peaks near the crossover temperature T c to the degree indicated by recent lattice calculations in QCD without quarks, it can make the fluid cavitate — falling apart into droplets. It is interesting to see a hydrodynamic calculation predicting its own breakdown, via cavitation, at the temperatures where hadronization is thought to occur in ultrarelativistic heavy ion collisions. United States. Dept. of Energy. Office of Nuclear Physics (Grant No. DE-FG02-94ER40818) 2011-06-03T19:00:07Z 2011-06-03T19:00:07Z 2010-03 2010-01 Article http://purl.org/eprint/type/JournalArticle 1029-8479 http://hdl.handle.net/1721.1/63177 Rajagopal, Krishna, and Nilesh Tripuraneni. “Bulk Viscosity and Cavitation in Boost-invariant Hydrodynamic Expansion.” Journal of High Energy Physics 2010.3 (2010) : 1-28-28. https://orcid.org/0000-0001-5812-8718 en_US http://dx.doi.org/10.1007/jhep03(2010)018 Journal of High Energy Physics Creative Commons Attribution-Noncommercial-Share Alike 3.0 http://creativecommons.org/licenses/by-nc-sa/3.0/ application/pdf Springer Berlin / Heidelberg Prof. Rajagopal via Mat Willmott |
| spellingShingle | Rajagopal, Krishna Tripuraneni, Nilesh Bulk viscosity and cavitation in boost-invariant hydrodynamic expansion |
| title | Bulk viscosity and cavitation in boost-invariant hydrodynamic expansion |
| title_full | Bulk viscosity and cavitation in boost-invariant hydrodynamic expansion |
| title_fullStr | Bulk viscosity and cavitation in boost-invariant hydrodynamic expansion |
| title_full_unstemmed | Bulk viscosity and cavitation in boost-invariant hydrodynamic expansion |
| title_short | Bulk viscosity and cavitation in boost-invariant hydrodynamic expansion |
| title_sort | bulk viscosity and cavitation in boost invariant hydrodynamic expansion |
| url | http://hdl.handle.net/1721.1/63177 https://orcid.org/0000-0001-5812-8718 |
| work_keys_str_mv | AT rajagopalkrishna bulkviscosityandcavitationinboostinvarianthydrodynamicexpansion AT tripuraneninilesh bulkviscosityandcavitationinboostinvarianthydrodynamicexpansion |