Topological modes in relativistic hydrodynamics

Topological Methods in Hydrodynamics

Entropy Production in Relativistic Hydrodynamics

The entropy production occurring in relativistic hydrodynamical systems such as the quark-gluon plasma (QGP) formed in high-energy nuclear collisions is explored. We study mechanisms which change the composition of the fluid, i.e. particle production and/or chemical reactions, along with chemoand thermo-diffusion. These effects complement the conventional dissipative effects of shear viscosity,...

Relativistic fluctuating hydrodynamics

By applying the fluctuation dissipation theorem [1] to the Navier Stokes equation, Landau and Lifshitz developed long ago the standard theory of fluctuating hydrodynamics [2] [3] [4]. This theory is both appealing and successful, and it is consistent with the fluctuating hydrodynamics which is derived if fluctuation dissipation theory is first applied to the Boltzmann equation [5], and then the...

Topological Groundwater Hydrodynamics

Topological groundwater hydrodynamics is an emerging subdiscipline in the mechanics of ¯uids in porous media whose objective is to investigate the invariant geometric properties of subsurface ¯ow and transport processes. In this paper, the topological characteristics of groundwater ¯ows governed by the Darcy law are studied. It is demonstrated that: (i) the topological constraint of zero helici...

Radiation reaction and relativistic hydrodynamics.

By invoking the radiation reaction force, first perturbatively derived by Landau and Lifschitz, and later shown by Rohrlich to be exact for a single particle, we construct a set of fluid equations obeyed by a relativistic plasma interacting with the radiation field. After showing that this approach reproduces the known results for a locally Maxwellian plasma, we derive and display the basic dyn...