Deconfinement transition in anisotropic matter

Barz, H.W.; Kämpfer, B.; Lukács, B.; Martinás, Katalin; Wolf, Gy.

doi:10.1016/0370-2693(87)90761-1

Cited by 16 publications

(16 citation statements)

References 10 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…(A15), such that k {µ k ν} = Ξ µν αβ k α k β . Note that the latter decomposition of the conserved quantities with respect to u µ , l µ , and Ξ µν was, to our knowledge, already given by Barz, Kämpfer, Lukács, Martinás, and Wolf as early as the late 1980's [23], and was later on used in Refs. [42,43].…”

Section: Fluid-dynamical Variablesmentioning

confidence: 94%

Derivation of anisotropic dissipative fluid dynamics from the Boltzmann equation

2016

View full text Add to dashboard Cite

Fluid-dynamical equations of motion can be derived from the Boltzmann equation in terms of an expansion around a single-particle distribution function which is in local thermodynamical equilibrium, i.e., isotropic in momentum space in the rest frame of a fluid element. However, in situations where the single-particle distribution function is highly anisotropic in momentum space, such as the initial stage of heavy-ion collisions at relativistic energies, such an expansion is bound to break down. Nevertheless, one can still derive a fluid-dynamical theory, called anisotropic dissipative fluid dynamics, in terms of an expansion around a single-particle distribution function,f 0k , which incorporates (at least parts of) the momentum anisotropy via a suitable parametrization. We construct such an expansion in terms of polynomials in energy and momentum in the direction of the anisotropy and of irreducible tensors in the two-dimensional momentum subspace orthogonal to both the fluid velocity and the direction of the anisotropy. From the Boltzmann equation we then derive the set of equations of motion for the irreducible moments of the deviation of the single-particle distribution function fromf 0k . Truncating this set via the 14-moment approximation, we obtain the equations of motion of anisotropic dissipative fluid dynamics.

show abstract

Section: Fluid-dynamical Variablesmentioning

confidence: 94%

Derivation of anisotropic dissipative fluid dynamics from the Boltzmann equation

2016

View full text Add to dashboard Cite

show abstract

“…For the relaxation time τ eq we will either use a constant value, or parametrize it using the relation between τ eq and shear viscosity [13,14], τ eq (τ) = 5β 0 (τ)η/s, where η/s denotes a constant ratio of shear viscosity to entropy density. As an example we can write the equation of motion directly for the longitudinal pressure that appears in the conservation laws (9),…”

Section: Boost-invariant Expansionmentioning

confidence: 99%

“…The additional parameter ξ needs to be determined by another matching condition in addition to the usual Landau matching conditions. Now, N µ and T µν need to be decomposed with respect to both four-vectors u µ and l µ as well as the two-space projector Ξ µν ≡ g µν − u µ u ν + l µ l ν orthogonal to both four-vectors [9]. This reads as…”

Section: Introductionmentioning

confidence: 99%

The right choice of moment for anisotropic fluid dynamics

2017

View full text Add to dashboard Cite

We study anisotropic fluid dynamics derived from the Boltzmann equation based on a particular choice for the anisotropic distribution function within a boost-invariant expansion of the fluid in one spatial dimension. In order to close the conservation equations we need to choose an additional moment of the Boltzmann equation. We discuss the influence of this choice of closure on the time evolution of fluid-dynamical variables and search for the best agreement to the solution of the Boltzmann equation in the relaxation-time approximation.

show abstract

“…The original concepts of anisotropic hydrodynamics were presented in Refs. [3,4], see also [5,6]. The approach of [3] was based on the energymomentum conservation law and used an Ansatz for the entropy source term that defined the off-equilibrium dynamics.…”

Section: Phenomenological Vs Kinetic-theory Formulationmentioning

confidence: 99%