A systematic expansion for relativistic causal hydrodynamics
| dc.creator | Gupta, Sourendu | |
| dc.date | 2007-09-14 | |
| dc.date.accessioned | 2026-07-07T08:30:18Z | |
| dc.date.available | 2026-07-07T08:30:18Z | |
| dc.description | 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. | |
| dc.description | 5 pages, 1 figure | |
| dc.identifier | https://arxiv.org/abs/0709.2355 | |
| dc.identifier | http://arxiv.org/abs/0709.2355 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/138209 | |
| dc.subject | Nuclear Theory | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Nuclear Experiment | |
| dc.title | A systematic expansion for relativistic causal hydrodynamics | |
| dc.type | text |