Exact Relativistic Ideal Hydrodynamical Solutions in (1+3)D with Longitudinal and Transverse Flows

Journal Article · Wed May 20 00:00:00 EDT 2009 · Physical Review C

OSTI ID:971348

Liao, Jinfeng; Koch, Volker

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 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 with 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 proper time and transverse radius. Possible application to the Relativistic Heavy Ion Collisions and possible generalizations of the method are discussed.

• Research Organization: Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
• Sponsoring Organization: Nuclear Science Division
• DOE Contract Number: DE-AC02-05CH11231
• OSTI ID: 971348
• Report Number(s): LBNL-2315E; TRN: US1001163
• Journal Information: Physical Review C, Journal Name: Physical Review C
• Country of Publication: United States
• Language: English

Related Subjects

73
72
HEAVY IONS
HYDRODYNAMICS
VELOCITY