Analytical relativistic ideal hydrodynamical solutions in ( )D with longitudinal and transverse flows
Abstract
A new method for solving relativistic ideal hydrodynamics in (1+3)D is developed. Longitudinal and transverse radial flows are explicitly embedded into the ansatz for the velocity field and the hydrodynamic equations are reduced to a single equation for the transverse velocity field only, which is analytically more tractable as compared to the full hydrodynamic equations. As an application we use the method to find analytically all possible solutions whose transverse velocity fields have power dependence on the proper time and transverse radius. Finally, the possible applications to relativistic heavy ion collisions and possible generalizations of the method are discussed.
- Authors:
-
- Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
- Publication Date:
- Research Org.:
- Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP); USDOE Office of Science (SC), High Energy Physics (HEP)
- OSTI Identifier:
- 1530200
- Grant/Contract Number:
- AC02-05CH11231
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. C, Nuclear Physics
- Additional Journal Information:
- Journal Volume: 80; Journal Issue: 3; Journal ID: ISSN 0556-2813
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS
Citation Formats
Liao, Jinfeng, and Koch, Volker. Analytical relativistic ideal hydrodynamical solutions in (1+3)D with longitudinal and transverse flows. United States: N. p., 2009.
Web. doi:10.1103/physrevc.80.034904.
Liao, Jinfeng, & Koch, Volker. Analytical relativistic ideal hydrodynamical solutions in (1+3)D with longitudinal and transverse flows. United States. https://doi.org/10.1103/physrevc.80.034904
Liao, Jinfeng, and Koch, Volker. Tue .
"Analytical relativistic ideal hydrodynamical solutions in (1+3)D with longitudinal and transverse flows". United States. https://doi.org/10.1103/physrevc.80.034904. https://www.osti.gov/servlets/purl/1530200.
@article{osti_1530200,
title = {Analytical relativistic ideal hydrodynamical solutions in (1+3)D with longitudinal and transverse flows},
author = {Liao, Jinfeng and Koch, Volker},
abstractNote = {A new method for solving relativistic ideal hydrodynamics in (1+3)D is developed. Longitudinal and transverse radial flows are explicitly embedded into the ansatz for the velocity field and the hydrodynamic equations are reduced to a single equation for the transverse velocity field only, which is analytically more tractable as compared to the full hydrodynamic equations. As an application we use the method to find analytically all possible solutions whose transverse velocity fields have power dependence on the proper time and transverse radius. Finally, the possible applications to relativistic heavy ion collisions and possible generalizations of the method are discussed.},
doi = {10.1103/physrevc.80.034904},
journal = {Physical Review. C, Nuclear Physics},
number = 3,
volume = 80,
place = {United States},
year = {2009},
month = {9}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Cited by: 8 works
Citation information provided by
Web of Science
Web of Science
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
New forms of QCD matter discovered at RHIC
journal, March 2005
- Gyulassy, Miklos; McLerran, Larry
- Nuclear Physics A, Vol. 750, Issue 1
Why does the quark–gluon plasma at RHIC behave as a nearly ideal fluid?
journal, July 2004
- Shuryak, Edward
- Progress in Particle and Nuclear Physics, Vol. 53, Issue 1
Magnetic monopoles in the high temperature phase of Yang–Mills theories
journal, August 2008
- D'Alessandro, A.; D'Elia, M.
- Nuclear Physics B, Vol. 799, Issue 1-2
Collective flow and two-pion correlations from a relativistic hydrodynamic model with early chemical freeze-out
journal, November 2002
- Hirano, Tetsufumi; Tsuda, Keiichi
- Physical Review C, Vol. 66, Issue 5
Transport coefficients of non-Newtonian fluid and causal dissipative hydrodynamics
journal, November 2008
- Koide, T.; Kodama, T.
- Physical Review E, Vol. 78, Issue 5
An introduction to relativistic hydrodynamics
journal, January 2006
- Gourgoulhon, E.
- EAS Publications Series, Vol. 21
Anisotropic transverse flow and the quark-hadron phase transition
journal, October 2000
- Kolb, Peter F.; Sollfrank, Josef; Heinz, Ulrich
- Physical Review C, Vol. 62, Issue 5
Simulating elliptic flow with viscous hydrodynamics
journal, March 2008
- Dusling, K.; Teaney, D.
- Physical Review C, Vol. 77, Issue 3
Strongly coupled plasma with electric and magnetic charges
journal, May 2007
- Liao, Jinfeng; Shuryak, Edward
- Physical Review C, Vol. 75, Issue 5
Viscosity Information from Relativistic Nuclear Collisions: How Perfect is the Fluid Observed at RHIC?
journal, October 2007
- Romatschke, Paul; Romatschke, Ulrike
- Physical Review Letters, Vol. 99, Issue 17
Similar final states from different initial states using new exact solutions of relativistic hydrodynamics
journal, March 2008
- Csanád, M.; Nagy, M. I.; Csörgő, T.
- The European Physical Journal Special Topics, Vol. 155, Issue 1
Highly relativistic nucleus-nucleus collisions: The central rapidity region
journal, January 1983
- Bjorken, J. D.
- Physical Review D, Vol. 27, Issue 1
Unified description of Bjorken and Landau 1+1 hydrodynamics
journal, November 2007
- Bialas, A.; Janik, R. A.; Peschanski, R.
- Physical Review C, Vol. 76, Issue 5
Landau hydrodynamics reexamined
journal, November 2008
- Wong, Cheuk-Yin
- Physical Review C, Vol. 78, Issue 5
What do lattice baryonic susceptibilities tell us about quarks, diquarks, and baryons at ?
journal, January 2006
- Liao, Jinfeng; Shuryak, Edward V.
- Physical Review D, Vol. 73, Issue 1
Analytic solution for relativistic transverse flow at the softest point
journal, February 2000
- Biró, Tamás S.
- Physics Letters B, Vol. 474, Issue 1-2
Microscopic formula for transport coefficients of causal hydrodynamics
journal, June 2007
- Koide, T.
- Physical Review E, Vol. 75, Issue 6
Fluid Mechanics
journal, May 1961
- Landau, L. D.; Lifshitz, E. M.; Sykes, J. B.
- Physics Today, Vol. 14, Issue 5
What RHIC experiments and theory tell us about properties of quark–gluon plasma?
journal, March 2005
- Shuryak, Edward
- Nuclear Physics A, Vol. 750, Issue 1
Detailed description of accelerating, simple solutions of relativistic perfect fluid hydrodynamics
journal, February 2008
- Nagy, M. I.; Csörgő, T.; Csanád, M.
- Physical Review C, Vol. 77, Issue 2
Comoving coordinate system for relativistic hydrodynamics
journal, February 2007
- Pratt, Scott
- Physical Review C, Vol. 75, Issue 2
Hydrodynamical activity in thin accretion disks
journal, May 2008
- Regev, Oded
- New Astronomy Reviews, Vol. 51, Issue 10-12
Physics of strongly coupled quark–gluon plasma
journal, January 2009
- Shuryak, Edward
- Progress in Particle and Nuclear Physics, Vol. 62, Issue 1
Exposing the Noncollectivity in Elliptic Flow
journal, July 2009
- Liao, Jinfeng; Koch, Volker
- Physical Review Letters, Vol. 103, Issue 4
Perfect fluidity of the quark–gluon plasma core as seen through its dissipative hadronic corona
journal, April 2006
- Hirano, Tetsufumi; Gyulassy, Miklos
- Nuclear Physics A, Vol. 769
Simple Solutions of Relativistic Hydrodynamics for Cylindrically Symmetric Systems
journal, July 2004
- Csörgő, T.; Grassi, F.; Hama, Y.
- Acta Physica Hungarica A) Heavy Ion Physics, Vol. 21, Issue 1
Ellipsoidal Flows in Relativistic Hydrodynamics of Finite Systems
journal, March 2006
- Sinyukov, Yu. M.; Sinyukov, Yu. M.; Karpenko, Iu. A.
- Acta Physica Hungarica A) Heavy Ion Physics, Vol. 25, Issue 1
Statistical description of hadron constituents as a basis for the fluid model of high-energy collisions
journal, October 1974
- Hwa, Rudolph C.
- Physical Review D, Vol. 10, Issue 7
Polymer chains and baryons in a strongly coupled quark–gluon plasma
journal, September 2006
- Liao, Jinfeng; Shuryak, Edward V.
- Nuclear Physics A, Vol. 775, Issue 3-4
Expansion Rates at RHIC
journal, November 2004
- Kolb, Peter F.
- Acta Physica Hungarica A) Heavy Ion Physics, Vol. 21, Issue 2-4
Elliptic flow at SPS and RHIC: from kinetic transport to hydrodynamics
journal, February 2001
- Kolb, P. F.; Huovinen, P.; Heinz, U.
- Physics Letters B, Vol. 500, Issue 3-4
Suppression of elliptic flow in a minimally viscous quark–gluon plasma
journal, January 2008
- Song, Huichao; Heinz, Ulrich
- Physics Letters B, Vol. 658, Issue 5
Angular Dependence of Jet Quenching Indicates Its Strong Enhancement near the QCD Phase Transition
journal, May 2009
- Liao, Jinfeng; Shuryak, Edward
- Physical Review Letters, Vol. 102, Issue 20
Relativistic hydrodynamics for heavy-ion collisions
journal, January 2008
- Ollitrault, Jean-Yves
- European Journal of Physics, Vol. 29, Issue 2
Generating new solutions for relativistic transverse flow at the softest point
journal, August 2000
- Biró, Tamás S.
- Physics Letters B, Vol. 487, Issue 1-2
Magnetic Component of Yang-Mills Plasma
journal, February 2007
- Chernodub, M. N.; Zakharov, V. I.
- Physical Review Letters, Vol. 98, Issue 8
Flow at the SPS and RHIC as a Quark-Gluon Plasma Signature
journal, May 2001
- Teaney, D.; Lauret, J.; Shuryak, E. V.
- Physical Review Letters, Vol. 86, Issue 21
The Magnetic Component of Quark-Gluon Plasma is also a Liquid
journal, October 2008
- Liao, Jinfeng; Shuryak, Edward
- Physical Review Letters, Vol. 101, Issue 16
Electric flux tube in a magnetic plasma
journal, June 2008
- Liao, Jinfeng; Shuryak, Edward
- Physical Review C, Vol. 77, Issue 6
Hot and dense matter: from RHIC to LHC – Theoretical overview
journal, August 2009
- Kharzeev, Dmitri E.
- Nuclear Physics A, Vol. 827, Issue 1-4
Anisotropy as a signature of transverse collective flow
journal, July 1992
- Ollitrault, Jean-Yves
- Physical Review D, Vol. 46, Issue 1