The turbulent magnetic diffusivity tensor is determined in the presence of rotation or shear. The question is addressed whether dynamo action from the shear–current effect can explain large-scale magnetic field generation found in simulations with shear. For this purpose a set of evolution equations for the response to imposed test fields is solved with turbulent and mean motions calculated fro...

We derive relativistic dissipative spin hydrodynamics from kinetic theory featuring a nonlocal collision term using the method of moments. In this framework, components tensor are dynamical variables which obey relaxation-type equations. find that corresponding relaxation times determined by local part term, while contributes to Navier-Stokes terms in these equations motion. The timescales comp...

With the recent elevation of Milgrom’s MOdified Newtonian Dynamics (MOND) to a relativistic theory, the Tensor-Vector-Scalar (TeVeS) theory of Bekenstein, a theory of gravity now exists which does not require dark matter and is consistent with fundamental relativistic principles. However, it remains challenging numerically and analytically to tackle the non-linear equations of TeVeS, which make...

Within a fully relativistic framework, we derive and solve numerically the perturbation equations of relativistic stars, including the stresses produced by a non-vanishing shear viscosity in the stress-energy tensor. With this approach, the real and imaginary parts of the frequency of the modes are consistently obtained. We find that, approaching the inviscid limit from the finite viscosity cas...

Shear stresses are always present during quasi-static strain imaging, since tissue slippage occurs along the lateral and elevational directions during an axial deformation. Shear stress components along the axial deformation axes add to the axial deformation while perpendicular components introduce both lateral and elevational rigid motion and deformation artifacts into the estimated axial and ...

We study the shear mode in the gauge/gravity correspondence at finite temperature. First, we confirm the general formula for the shear viscosity in an arbitrary background metric which includes a black hole in the fifth dimension. We then derive a general formula for the shear mode relaxation time which appears in the theory of relativistic dissipative fluid dynamics; it agrees with known expre...

The linear and non-linear stability of sheared, relativistic planar jets is studied by means of linear stability analysis and numerical hydrodynamical simulations. Our results extend the previous Kelvin-Hemlholtz stability studies for relativistic, planar jets in the vortex sheet approximation performed by Perucho et al. (2004a,b) by including a shear layer between the jet and the external medi...

A very intuitive description of nucleus-nucleus collision phenomena is provided by the relativistic fluid dynamics. We consider a 1+1 dimensional relativistic imperfect fluid flow to approximate the high energy heavy ion collision. The article investigates the application of the continuous symmetry group on the relativistic fluid energy-momentum tensor conservation equations in the ultrarelativ...

A generally relativistic theory of thermodynamics is developed, based on four main physical principles: heat is a local form of energy, therefore described by a thermal energy tensor; conservation of heat, or the local first law, equivalent to conservation of mass; entropy is a local current; and non-destruction of entropy, or the local second law. A fluid is defined by the thermostatic energy ...