2009/10/11 by Hans Christian Öttinger, Henning Struchtrup, Mario Liu
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Angular momentum #Classical mechanics #Dissipative system #Galilean #Gas Dynamics and Kinetic Theory #Mechanics #Physics #Quantum mechanics #Quantum, superfluid, helium dynamics #Theoretical physics #physics.flu-dyn
paper · pdf · doi:10.1103/physreve.80.056303
published as Phys. Rev. E 80, 056303 (2009) · 18 pages; submitted to Phys. Rev. E
arxiv created 2009/10/11 · openalex publication_date 2009/11/10 · arxiv updated 2010/11/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The possibility of dissipative contributions to the mass flux is considered in detail. A general thermodynamically consistent framework is developed to obtain such terms, the compatibility of which with general principles is then checked-including Galilean invariance, the possibility of steady rigid rotation and uniform center-of-mass motion, the existence of a locally conserved angular momentum, and material objectivity. All previously discussed scenarios of dissipative mass fluxes are found to be ruled out by some combinations of these principles but not a new one that includes a smoothed velocity field v[over ] . However, this field v[over ] is nonlocal and leads to unacceptable consequences in specific situations. Hence, we can state with confidence that a dissipative contribution to the mass flux is not possible.