The complete set of transport coefficients for two dimensional relativistic degenerate gases is derived within a relaxation approximation in kinetic theory, by considering both the particle and energy frames. A thorough comparison between Marle Anderson–Witting’s models carried out, pointing out drawbacks former when compared to latter full Boltzmann equation results non-degenerate limit. Such ...

We present a new derivation of relativistic second-order dissipative hydrodynamics for quantum systems using Zubarev’s non-equilibrium statistical-operator formalism. This is achieved by systematic expansion the energy–momentum tensor and charge current to second order in deviations from equilibrium. As concrete example, we obtain relaxation equations shear-stress tensor, bulk-viscous pressure,...

Based on Luttinger’s formulation the complex optical conductivity tensor is calculated within the framework of the spin–polarized relativistic screened Korringa–Kohn–Rostoker method for layered systems by means of a contour integration technique. For polar geometry and normal incidence ab–initio Kerr spectra of multilayer systems are then obtained by including via a 2× 2 matrix technique all mu...

We consider long wavelength solutions to the Einstein-dilaton system with negative cosmological constant which are dual, under the AdS/CFT correspondence, to solutions of the conformal relativistic Navier-Stokes equations with a dilaton-dependent forcing term. Certain forced fluid flows are known to exhibit turbulence; holographic duals of forced fluid dynamics are therefore of particular inter...

We generalize the mechanism proposed in [hep-th/0005016] and show that a four-dimensional relativistic tensor theory of gravitation can be obtained on a brane in flat infinite-volume extra space. In particular, we demonstrate that the induced Ricci scalar gives rise to Einstein’s gravity on a delta-function type brane if the number of space-time dimensions is bigger than five. The bulk space ex...

We give a group-theoretic interpretation of non-relativistic holography as equivalence between representations of the Schrödinger algebra describing bulk fields and boundary fields. Our main result is the explicit construction of the boundary-tobulk operators for which we first construct the two-point Green function in the bulk. Further we show that these operators and the bulk-to-boundary oper...

We compare the simplest realistic brane inflationary model to recent cosmological data, including WMAP 3-year cosmic microwave background (CMB) results, Sloan Digital Sky Survey luminous red galaxies (SDSS LRG) power spectrum data and Supernovae Legacy Survey (SNLS) Type 1a supernovae distance measures. Here, the inflaton is simply the position of a D3-brane which is moving towards a D̄3-brane s...

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 ...