Shear viscosity from thermal fluctuations in relativistic conformal fluid dynamics

Conformal fluid dynamics

We present a conformal theory of a dissipationless relativistic fluid in 2 space-time dimensions. The theory carries with it a representation of the algebra of 2-D area-preserving diffeomorphisms in the target space of the complex scalar potentials. A complete canonical description is given, and the central charge of the current algebra is calculated. The passage to the quantum theory is discus...

Accurate computation of shear viscosity from equilibrium molecular dynamics simulations

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Shear Viscosity via Periodic Nonequilibrium Molecular Dynamics

Naitoh and Ono, by Simulating Couette flow, re­ cently measured the hardsphere viscosity coefficient for 108 hard spheres at the freezing density [1]. A pe­ riodic system undergoing homogeneous shear was studied with molecular dynamics. Similar calculations have also been carried out using the Lennard-Jones REE-EYRING potential [2-4]. At the freezing density Naitoh and Ono use a square­ "N ALDE...

Relativistic r - modes and Shear viscosity : regularizing the continuous spectrum

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...

Chapter 1 Relativistic Fluid Dynamics