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http://dspace.mediu.edu.my:8181/xmlui/handle/123456789/2525| Title: | Navier-Stokes equations for generalized thermostatistics |
| Issue Date: | 30-May-2013 |
| Publisher: | Sociedade Brasileira de Física |
| Description: | Tsallis has proposed a generalization of Boltzmann-Gibbs thermostatistics by introducing a family of generalized nonextensive entropy functionals with a single parameter q. These reduce to the extensive Boltzmann-Gibbs form for q = 1, but a remarkable number of statistical and thermodynamic properties have been shown to be q-invariant - that is, valid for any q. In this paper, we address the question of whether or not the value of q for a given viscous, incompressible fluid can be ascertained solely by measurement of the fluid's hydrodynamic properties. We find that the hydrodynamic equations expressing conservation of mass and momentum are q-invariant, but the conservation of energy is not. Moreover, we find that ratios of transport coefficients may also be q-dependent. These dependences may therefore be exploited to measure q experimentally. |
| URI: | http://koha.mediu.edu.my:8181/jspui/handle/123456789/2525 |
| Other Identifiers: | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97331999000100009 http://www.doaj.org/doaj?func=openurl&genre=article&issn=01039733&date=1999&volume=29&issue=1&spage=91 |
| Appears in Collections: | Physics and Astronomy |
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