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

doi:10.1103/physrevc.80.034904

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

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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) (SC-26); USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)

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.  doi: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.  doi: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}

}

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Journal Article:

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Accepted Manuscript (DOE)

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DOI: 10.1103/physrevc.80.034904

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