A systematic expansion for relativistic causal hydrodynamics

Details A systematic expansion for relativistic causal hydrodynamics A systematic expansion for relativistic causal hydrodynamics

2007-09-14

arxiv.org/abs/0709.2355v1

Physics

Nuclear Physics

Nuclear Theory

5 pages, 1 figure

Scientific paper

A systematic expansion of the Boltzmann equation for the diffusion of dilute tracers, in powers of the Knudsen number, carried out to next-to-leading order (NLO), gives the relativistic causal diffusion equation (Kelly's equation). Using dimensionless combinations of dynamical quantities, we show when the small NLO term plays a crucially important role. We proceed to show that a derivation of Kelly's equation from a microscopic theory of the correlation function of the number density of diffusers is possible. The correlator fulfils the Green-Kubo relation for the diffusion constant, as well as an f-sum which goes beyond a purely phenomenological causal theory. We argue that the construction generalizes to the full hydrodynamic equations.

Affiliated with

Also associated with

No associations

Rating

A systematic expansion for relativistic causal hydrodynamics does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A systematic expansion for relativistic causal hydrodynamics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A systematic expansion for relativistic causal hydrodynamics will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-616973