Analytical solutions of Landau (1+1)-dimensional hydrodynamics

Wong, Cheuk-Yin; Sen, Abhisek; Gerhard, Jochen; Torrieri, Giorgio; Read, Kenneth

doi:10.1103/PhysRevC.90.064907

Title: Analytical solutions of Landau (1+1)-dimensional hydrodynamics

Abstract

To help guide our intuition, summarize important features, and point out essential elements, we review the analytical solutions of Landau (1+1)-dimensional hydrodynamics and exhibit the full evolution of the dynamics from the very beginning to subsequent times. Special emphasis is placed on the matching and the interplay between the Khalatnikov solution and the Riemann simple wave solution at the earliest times and in the edge regions at later times.

Authors:

Wong, Cheuk-Yin ^[1]; Sen, Abhisek ^[2]; Gerhard, Jochen ^[3]; Torrieri, Giorgio ^[4]; Read, Kenneth ^[5]

Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Physics Division
Univ. of Tennessee, Knoxville, TN (United States). Dept. of Physics and Astronomy
Frankfurt Inst. for Advanced Studies (FIAS), Frankfurt (Germany)
Univ. of Campinas (UNICAMP), Sao Paulo (Brazil). Inst. of Physics Gleb Wataghin
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Physics Division; Univ. of Tennessee, Knoxville, TN (United States). Dept. of Physics and Astronomy

Publication Date:: Wed Dec 17 00:00:00 EST 2014

Research Org.:: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF)

Sponsoring Org.:: USDOE Office of Science (SC)

OSTI Identifier:: 1185616

Alternate Identifier(s):: OSTI ID: 1180295

Grant/Contract Number:: AC05-00OR22725; FG02-93ER40764

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review C, Nuclear Physics

Additional Journal Information:: Journal Volume: 90; Journal Issue: 6; Journal ID: ISSN 0556-2813

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Citation Formats


                    Wong, Cheuk-Yin, Sen, Abhisek, Gerhard, Jochen, Torrieri, Giorgio, and Read, Kenneth. Analytical solutions of Landau (1+1)-dimensional hydrodynamics.  United States: N. p., 2014. 
Web.  doi:10.1103/PhysRevC.90.064907.

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                    Wong, Cheuk-Yin, Sen, Abhisek, Gerhard, Jochen, Torrieri, Giorgio, & Read, Kenneth. Analytical solutions of Landau (1+1)-dimensional hydrodynamics.  United States.  https://doi.org/10.1103/PhysRevC.90.064907

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                    Wong, Cheuk-Yin, Sen, Abhisek, Gerhard, Jochen, Torrieri, Giorgio, and Read, Kenneth. Wed .  
"Analytical solutions of Landau (1+1)-dimensional hydrodynamics".  United States.  https://doi.org/10.1103/PhysRevC.90.064907.  https://www.osti.gov/servlets/purl/1185616.

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@article{osti_1185616,

  title        = {Analytical solutions of Landau (1+1)-dimensional hydrodynamics},

  author       = {Wong, Cheuk-Yin and Sen, Abhisek and Gerhard, Jochen and Torrieri, Giorgio and Read, Kenneth},

  abstractNote = {To help guide our intuition, summarize important features, and point out essential elements, we review the analytical solutions of Landau (1+1)-dimensional hydrodynamics and exhibit the full evolution of the dynamics from the very beginning to subsequent times. Special emphasis is placed on the matching and the interplay between the Khalatnikov solution and the Riemann simple wave solution at the earliest times and in the edge regions at later times.},

  doi          = {10.1103/PhysRevC.90.064907},

  journal      = {Physical Review C, Nuclear Physics},

  number       = 6,

  volume       = 90,

  place        = {United States},

  year         = {Wed Dec 17 00:00:00 EST 2014},

  month        = {Wed Dec 17 00:00:00 EST 2014}

}

Copy to clipboard

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Proton-proton collisions in the hydrodynamic theory
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Velocity of sound in relativistic heavy-ion collisions
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Title: Analytical solutions of Landau (1+1)-dimensional hydrodynamics

Abstract

Citation Formats

Smoothed particle hydrodynamics for relativistic heavy-ion collisions journal, December 2000

Nonextensive hydrodynamics for relativistic heavy-ion collisions journal, April 2008

Fluctuations of the Initial Conditions and the Continuous Emission in the Hydrodynamical Description of Two-Pion Interferometry journal, October 2004

Hydrodynamics of Ultra-Relativistic Heavy Ion Collisions. Considerations of Boost Non-invariance and Stopping journal, November 1993

The maximum lifetime of the quark-gluon plasma journal, February 1996

Simple solutions of relativistic hydrodynamics for longitudinally and cylindrically expanding systems journal, July 2003

Rapidity distribution of secondaries in ultra-relativistic heavy ion collisions using Landau's hydrodynamic model journal, December 1992

Fluctuation effects in initial conditions for hydrodynamics journal, March 1997

Handbook of Mathematical Functions journal, February 1966

Asymmetric (1 + 1)-dimensional hydrodynamics in high-energy collisions journal, May 2011

Topics on hydrodynamic model of nucleus-nucleus collisions journal, January 2005

Hydrodynamics of ultra-relativistic heavy ion collisions journal, October 1983

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

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

Hydrodynamic afterburner for the color glass condensate and the parton energy loss journal, November 2004

Landau hydrodynamics reexamined journal, November 2008

Introduction to High-Energy Heavy-Ion Collisions book, September 1994

Hydrodynamical Treatment of Multiple Meson Production in High Energy Nucleon-Nucleus Collisions journal, February 1957

Effect of shear viscosity on spectra, elliptic flow, and Hanbury Brown–Twiss radii journal, September 2003

Гидродинамическая теория множественного образования частиц journal, January 1955

Initial state of ultrarelativistic heavy ion collisions journal, June 2001

Effective string rope model for the initial stages of ultra-relativistic heavy ion collisions journal, December 2002

Hydrodynamic theory of multiple production of particles journal, January 1956

Single-particle distribution in the hydrodynamic and statistical thermodynamic models of multiparticle production journal, July 1974

Relating multihadron production in hadronic and nuclear collisions journal, November 2010

Modified Boltzmann Transport Equation and Freeze Out journal, July 2005

The time-delay signature of quark-gluon plasma formation in relativistic nuclear collisions journal, October 1996

Fluid Mechanics journal, May 1961

Comoving coordinate system for relativistic hydrodynamics journal, February 2007

Proton-proton collisions in the hydrodynamic theory journal, November 1974

Velocity of sound in relativistic heavy-ion collisions journal, December 2003

New family of simple solutions of relativistic perfect fluid hydrodynamics journal, May 2008

Exact -dimensional flows of a perfect fluid journal, January 2011

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

Space-time evolution of bulk QCD matter journal, January 2007

Heretical Models of Particle Production journal, May 1974

Relativistic hydrodynamics for heavy-ion collisions journal, January 2008

Multihadron production features in different reactions conference, January 2006

Landau's hydrodynamic model of particle production and electron-positron annihilation into hadrons journal, January 1975

Exact hydrodynamic solution for the elliptic flow journal, August 2009

Boost non-invariant hydrodynamics in ultrarelativistic heavy-ion collisions journal, March 1992

Pion interferometry for a granular source of quark-gluon plasma droplets journal, August 2004

Entropy flow of a perfect fluid in ( 1 + 1 ) hydrodynamics journal, December 2008

Effective-energy budget in multiparticle production in nuclear collisions journal, November 2014

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

Nonextensive perfect hydrodynamics — a model of dissipative relativistic hydrodynamics? journal, January 2009

Smoothed particle hydrodynamics for relativistic heavy-ion collisions
journal, December 2000

Nonextensive hydrodynamics for relativistic heavy-ion collisions
journal, April 2008

Fluctuations of the Initial Conditions and the Continuous Emission in the Hydrodynamical Description of Two-Pion Interferometry
journal, October 2004

Hydrodynamics of Ultra-Relativistic Heavy Ion Collisions. Considerations of Boost Non-invariance and Stopping
journal, November 1993

The maximum lifetime of the quark-gluon plasma
journal, February 1996

Simple solutions of relativistic hydrodynamics for longitudinally and cylindrically expanding systems
journal, July 2003

Rapidity distribution of secondaries in ultra-relativistic heavy ion collisions using Landau's hydrodynamic model
journal, December 1992

Fluctuation effects in initial conditions for hydrodynamics
journal, March 1997

Handbook of Mathematical Functions
journal, February 1966

Asymmetric (1 $+$ 1)-dimensional hydrodynamics in high-energy collisions
journal, May 2011

Topics on hydrodynamic model of nucleus-nucleus collisions
journal, January 2005

Hydrodynamics of ultra-relativistic heavy ion collisions
journal, October 1983

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

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

Hydrodynamic afterburner for the color glass condensate and the parton energy loss
journal, November 2004

Landau hydrodynamics reexamined
journal, November 2008

Introduction to High-Energy Heavy-Ion Collisions
book, September 1994

Hydrodynamical Treatment of Multiple Meson Production in High Energy Nucleon-Nucleus Collisions
journal, February 1957

Effect of shear viscosity on spectra, elliptic flow, and Hanbury Brown–Twiss radii
journal, September 2003

Гидродинамическая теория множественного образования частиц
journal, January 1955

Initial state of ultrarelativistic heavy ion collisions
journal, June 2001

Effective string rope model for the initial stages of ultra-relativistic heavy ion collisions
journal, December 2002

Hydrodynamic theory of multiple production of particles
journal, January 1956

Single-particle distribution in the hydrodynamic and statistical thermodynamic models of multiparticle production
journal, July 1974

Relating multihadron production in hadronic and nuclear collisions
journal, November 2010

Modified Boltzmann Transport Equation and Freeze Out
journal, July 2005

The time-delay signature of quark-gluon plasma formation in relativistic nuclear collisions
journal, October 1996

Fluid Mechanics
journal, May 1961

Comoving coordinate system for relativistic hydrodynamics
journal, February 2007

Proton-proton collisions in the hydrodynamic theory
journal, November 1974

Velocity of sound in relativistic heavy-ion collisions
journal, December 2003

New family of simple solutions of relativistic perfect fluid hydrodynamics
journal, May 2008

Exact -dimensional flows of a perfect fluid
journal, January 2011

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

Space-time evolution of bulk QCD matter
journal, January 2007

Heretical Models of Particle Production
journal, May 1974

Relativistic hydrodynamics for heavy-ion collisions
journal, January 2008

Multihadron production features in different reactions
conference, January 2006

Landau's hydrodynamic model of particle production and electron-positron annihilation into hadrons
journal, January 1975

Exact hydrodynamic solution for the elliptic flow
journal, August 2009

Boost non-invariant hydrodynamics in ultrarelativistic heavy-ion collisions
journal, March 1992

Pion interferometry for a granular source of quark-gluon plasma droplets
journal, August 2004

Entropy flow of a perfect fluid in ( $1 + 1$ ) hydrodynamics
journal, December 2008

Effective-energy budget in multiparticle production in nuclear collisions
journal, November 2014

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

Nonextensive perfect hydrodynamics — a model of dissipative relativistic hydrodynamics?
journal, January 2009