| Journal: | Brazilian journal of physics |
| Database: | PERIÓDICA |
| System number: | 000385166 |
| ISSN: | 0103-9733 |
| Authors: | Koide, Tomoi1 Ramos, Rudnei O2 Vicente, Gustavo S2 |
| Institutions: | 1Universidade Federal do Rio de Janeiro, Instituto de Fisica, Rio de Janeiro. Brasil 2Universidade do Estado do Rio de Janeiro, Departamento de Fisica Teorica, Rio de Janeiro. Brasil |
| Year: | 2015 |
| Season: | Feb |
| Volumen: | 45 |
| Number: | 1 |
| Pages: | 102-111 |
| Country: | Brasil |
| Language: | Inglés |
| Document type: | Artículo |
| Approach: | Experimental, aplicado |
| English abstract | We discuss the nonrelativistic limit of the relativistic Navier-Fourier-Stokes (NFS) theory. The next-toleading order relativistic corrections to the NFS theory for the Landau-Lifshitz fluid are obtained. While the lowest order truncation of the velocity expansion leads to the usual NFS equations of nonrelativistic fluids, we show that when the next-to-leading order relativistic corrections are included, the equations can be expressed concurrently with two different fluid velocities. One of the fluid velocities is parallel to the conserved charge current (which follows the Eckart definition) and the other one is parallel to the energy current (which follows the Landau-Lifshitz definition). We compare this next-to-leading order relativistic hydrodynamics with bivelocity hydrodynamics, which is one of the generalizations of the NFS theory and is formulated in such a way to include the usual mass velocity and also a new velocity, called the volume velocity. We find that the volume velocity can be identified with the velocity obtained in the Landau-Lifshitz definition. Then, the structure of bivelocity hydrodynamics, which is derived using various nontrivial assumptions, is reproduced in the NFS theory including the next-to-leading order relativistic corrections |
| Disciplines: | Física y astronomía |
| Keyword: | Física, Hidrodinámica no relativista, Correcciones relativistas |
| Keyword: | Physics and astronomy, Physics, Nonrelativistic hydrodynamics, Relativistic corrections |
| Full text: | Texto completo (Ver HTML) |
