Analytical relativistic ideal hydrodynamical solutions in (1+3)D with longitudinal and transverse flows

Liao, Jinfeng; Koch, Volker

doi:10.1103/physrevc.80.034904

Title: Analytical relativistic ideal hydrodynamical solutions in ( $1 + 3$ )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:

Liao, Jinfeng ^[1]; Koch, Volker ^[1]

Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)

Publication Date:: 2009-09-15

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.

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                    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

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                    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.

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@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}

}

Copy to clipboard

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Title: Analytical relativistic ideal hydrodynamical solutions in ( 1 + 3 )D with longitudinal and transverse flows

Abstract

Citation Formats

New forms of QCD matter discovered at RHIC journal, March 2005

Why does the quark–gluon plasma at RHIC behave as a nearly ideal fluid? journal, July 2004

Magnetic monopoles in the high temperature phase of Yang–Mills theories journal, August 2008

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Transport coefficients of non-Newtonian fluid and causal dissipative hydrodynamics journal, November 2008

An introduction to relativistic hydrodynamics journal, January 2006

Anisotropic transverse flow and the quark-hadron phase transition journal, October 2000

Simulating elliptic flow with viscous hydrodynamics journal, March 2008

Strongly coupled plasma with electric and magnetic charges journal, May 2007

Viscosity Information from Relativistic Nuclear Collisions: How Perfect is the Fluid Observed at RHIC? journal, October 2007

Similar final states from different initial states using new exact solutions of relativistic hydrodynamics journal, March 2008

Highly relativistic nucleus-nucleus collisions: The central rapidity region journal, January 1983

Unified description of Bjorken and Landau 1+1 hydrodynamics journal, November 2007

Landau hydrodynamics reexamined journal, November 2008

What do lattice baryonic susceptibilities tell us about quarks, diquarks, and baryons at T > T c ? journal, January 2006

Analytic solution for relativistic transverse flow at the softest point journal, February 2000

Microscopic formula for transport coefficients of causal hydrodynamics journal, June 2007

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What RHIC experiments and theory tell us about properties of quark–gluon plasma? journal, March 2005

Detailed description of accelerating, simple solutions of relativistic perfect fluid hydrodynamics journal, February 2008

Comoving coordinate system for relativistic hydrodynamics journal, February 2007

Hydrodynamical activity in thin accretion disks journal, May 2008

Physics of strongly coupled quark–gluon plasma journal, January 2009

Exposing the Noncollectivity in Elliptic Flow journal, July 2009

Perfect fluidity of the quark–gluon plasma core as seen through its dissipative hadronic corona journal, April 2006

Simple Solutions of Relativistic Hydrodynamics for Cylindrically Symmetric Systems journal, July 2004

Ellipsoidal Flows in Relativistic Hydrodynamics of Finite Systems journal, March 2006

Statistical description of hadron constituents as a basis for the fluid model of high-energy collisions journal, October 1974

Polymer chains and baryons in a strongly coupled quark–gluon plasma journal, September 2006

Expansion Rates at RHIC journal, November 2004

Elliptic flow at SPS and RHIC: from kinetic transport to hydrodynamics journal, February 2001

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Angular Dependence of Jet Quenching Indicates Its Strong Enhancement near the QCD Phase Transition journal, May 2009

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Generating new solutions for relativistic transverse flow at the softest point journal, August 2000

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Flow at the SPS and RHIC as a Quark-Gluon Plasma Signature journal, May 2001

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Title: Analytical relativistic ideal hydrodynamical solutions in ( $1 + 3$ )D with longitudinal and transverse flows

New forms of QCD matter discovered at RHIC
journal, March 2005

Why does the quark–gluon plasma at RHIC behave as a nearly ideal fluid?
journal, July 2004

Magnetic monopoles in the high temperature phase of Yang–Mills theories
journal, August 2008

Collective flow and two-pion correlations from a relativistic hydrodynamic model with early chemical freeze-out
journal, November 2002

Transport coefficients of non-Newtonian fluid and causal dissipative hydrodynamics
journal, November 2008

An introduction to relativistic hydrodynamics
journal, January 2006

Anisotropic transverse flow and the quark-hadron phase transition
journal, October 2000

Simulating elliptic flow with viscous hydrodynamics
journal, March 2008

Strongly coupled plasma with electric and magnetic charges
journal, May 2007

Viscosity Information from Relativistic Nuclear Collisions: How Perfect is the Fluid Observed at RHIC?
journal, October 2007

Similar final states from different initial states using new exact solutions of relativistic hydrodynamics
journal, March 2008

Highly relativistic nucleus-nucleus collisions: The central rapidity region
journal, January 1983

Unified description of Bjorken and Landau 1+1 hydrodynamics
journal, November 2007

Landau hydrodynamics reexamined
journal, November 2008

What do lattice baryonic susceptibilities tell us about quarks, diquarks, and baryons at $T > T_{c}$ ?
journal, January 2006

Analytic solution for relativistic transverse flow at the softest point
journal, February 2000

Microscopic formula for transport coefficients of causal hydrodynamics
journal, June 2007

Fluid Mechanics
journal, May 1961

What RHIC experiments and theory tell us about properties of quark–gluon plasma?
journal, March 2005

Detailed description of accelerating, simple solutions of relativistic perfect fluid hydrodynamics
journal, February 2008

Comoving coordinate system for relativistic hydrodynamics
journal, February 2007

Hydrodynamical activity in thin accretion disks
journal, May 2008

Physics of strongly coupled quark–gluon plasma
journal, January 2009

Exposing the Noncollectivity in Elliptic Flow
journal, July 2009

Perfect fluidity of the quark–gluon plasma core as seen through its dissipative hadronic corona
journal, April 2006

Simple Solutions of Relativistic Hydrodynamics for Cylindrically Symmetric Systems
journal, July 2004

Ellipsoidal Flows in Relativistic Hydrodynamics of Finite Systems
journal, March 2006

Statistical description of hadron constituents as a basis for the fluid model of high-energy collisions
journal, October 1974

Polymer chains and baryons in a strongly coupled quark–gluon plasma
journal, September 2006

Expansion Rates at RHIC
journal, November 2004

Elliptic flow at SPS and RHIC: from kinetic transport to hydrodynamics
journal, February 2001

Suppression of elliptic flow in a minimally viscous quark–gluon plasma
journal, January 2008

Angular Dependence of Jet Quenching Indicates Its Strong Enhancement near the QCD Phase Transition
journal, May 2009

Relativistic hydrodynamics for heavy-ion collisions
journal, January 2008

Generating new solutions for relativistic transverse flow at the softest point
journal, August 2000

Magnetic Component of Yang-Mills Plasma
journal, February 2007

Flow at the SPS and RHIC as a Quark-Gluon Plasma Signature
journal, May 2001

The Magnetic Component of Quark-Gluon Plasma is also a Liquid
journal, October 2008

Electric flux tube in a magnetic plasma
journal, June 2008

Hot and dense matter: from RHIC to LHC – Theoretical overview
journal, August 2009

Anisotropy as a signature of transverse collective flow
journal, July 1992