Projection method for boost-invariant and cylindrically symmetric dissipative hydrodynamics

Abstract

Tensors describing boost-invariant and cylindrically symmetric expansion of a relativistic dissipative fluid are decomposed in a suitable chosen basis of projection operators. This leads to a simple set of scalar equations which determine the fluid behavior. As special examples, we discuss the case of the Israel-Stewart theory and the model of highly-anisotropic and strongly-dissipative hydrodynamics ADHYDRO. We also introduce the matching conditions between the ADHYDRO description suitable for the very early stages of heavy-ion collisions and the Israel-Stewart theory applicable for later stages when the system is close to equilibrium.

References in corpus (11)

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• Highly-anisotropic and strongly-dissipative hydrodynamics for early stages of relativistic heavy-ion collisions
• Non-boost-invariant motion of dissipative and highly anisotropic fluid
• Free-streaming approximation in early dynamics of relativistic heavy-ion collisions
• Highly-anisotropic and strongly-dissipative hydrodynamics with transverse expansion
• Dissipative hydrodynamics in 2+1 dimension
• Highly anisotropic hydrodynamics -- discussion of the model assumptions and forms of the initial conditions
• Indications of early thermalization in relativistic heavy-ion collisions
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