Navier-Stokes Equations for Generalized Thermostatistics
| dc.creator | Boghosian, Bruce M. | |
| dc.date | 1998-12-09 | |
| dc.date.accessioned | 2026-07-07T03:12:21Z | |
| dc.date.available | 2026-07-07T03:12:21Z | |
| dc.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 that for 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. | |
| dc.description | RevTeX and epsf macros required, 19 pages, 8 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9812154 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9812154 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/28874 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Navier-Stokes Equations for Generalized Thermostatistics | |
| dc.type | text |