Year: 2013
Type: article
Abstract: We consider a hydrodynamic description of the spherically symmetric outward flow of nuclear matter, using a nuclear model that introduces a weakly dispersive effect in the flow. On the resulting stationary conditions of the flow, we apply an Eulerian scheme to derive a fully nonlinear equation of a time-dependent radial perturbation. In its linearized limit, with no dispersion, this equation implies the static acoustic horizon of an analog gravity model. This horizon also defines the minimum radius of the steady flow. We model the perturbation as a high-frequency traveling wave, in which the weak dispersion is taken iteratively. A WKB analysis shows that even arbitrarily small values of dispersion make the horizon fully opaque to any acoustic disturbance propagating against the bulk flow, with the amplitude and the energy flux of the radial perturbation decaying exponentially just outside the horizon. Nonlinear effects shift the horizon from its steady position.
Source: Physical Review C
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1956342963