Mach Cone Studies with 3D Mach Cone Studies with 3D Hydrodynamics Hydrodynamics Barbara Betz Barbara Betz Institut für Theoretische Physik Institut für Theoretische Physik Johann Wolfgang Goethe-Universität Johann Wolfgang Goethe-Universität Frankfurt am Main Frankfurt am Main NCRH2007 Frankfurt, 18. April NCRH2007 Frankfurt, 18. April 2007 2007
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Mach Cone Studies with 3D Hydrodynamics Barbara Betz Institut für Theoretische Physik Johann Wolfgang Goethe-Universität Frankfurt am Main NCRH2007 Frankfurt,
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Mach Cone Studies with 3D Mach Cone Studies with 3D HydrodynamicsHydrodynamics
Barbara BetzBarbara Betz
Institut für Theoretische PhysikInstitut für Theoretische PhysikJohann Wolfgang Goethe-UniversitätJohann Wolfgang Goethe-Universität
Frankfurt am MainFrankfurt am Main
NCRH2007 Frankfurt, 18. April 2007NCRH2007 Frankfurt, 18. April 2007
ContentsContents
I.I. IntroductionIntroduction• Jet QuenchingJet Quenching• Two and Three-Particle CorrelationTwo and Three-Particle Correlation
• Implement a jet that ...Implement a jet that ...
deposits energy and deposits energy and momentum within momentum within 1 fm/c1 fm/c
into a static, into a static, homogeneous homogeneous mediummedium
VorticesVortices
• Jet SignalJet Signal
Smoke RingsSmoke Rings
t = 11.52 fm/ct = 11.52 fm/c
Discontinuous Energy LossDiscontinuous Energy Loss
Ideal Gas EoSIdeal Gas EoS
• Implement a jet that ...Implement a jet that ...
deposits energy of deposits energy of 2 GeV 2 GeV
in equal time in equal time intervals intervals ofoft = 1.6 fm/ct = 1.6 fm/c
into a static,into a static, homogeneous homogeneous mediummedium
Discontinuous Energy LossDiscontinuous Energy Loss
t = 7.2 fm/ct = 7.2 fm/c
Clear Jet SignalClear Jet Signal Clear Mach Cone SignalClear Mach Cone Signal
ConclusionConclusionI.I. Two- and Three-Particle Two- and Three-Particle
CorrelationCorrelation• Sideward peaks appear and reflectSideward peaks appear and reflect
• interaction of jet with medium andinteraction of jet with medium and• emission angle of Mach Coneemission angle of Mach Cone
I.I. Hydrodynamical approach Hydrodynamical approach with Freeze-outwith Freeze-out
• Ideal Gas EoS Ideal Gas EoS • Jet visible independent of nature of Jet visible independent of nature of
energy depositionenergy deposition• Clear Mach Cone appears in case Clear Mach Cone appears in case
of discontinous energy deposition of discontinous energy deposition
Open ProblemsOpen Problems
I.I. Influence of the backgroundInfluence of the background
I.I. Evolution of a fast projectileEvolution of a fast projectile
I.I. Freeze-out for “rectangular Freeze-out for “rectangular nucleus approach”nucleus approach”
BackupBackup
SHASTASHASTA• Solves finite difference versions ofSolves finite difference versions of
• via the method of time-step splitting (operator via the method of time-step splitting (operator splitting)splitting) sequentially solvingsequentially solving