Inconsistency of a dissipative contribution to the mass flux in hydrodynamics

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 80, Issue 5, 2009, Pages

  Öttinger, Hans Christian ^a   Struchtrup, Henning ^b   Liu, Mario ^c  

^a ETH ZURICH   (Switzerland)

^b UNIVERSITY OF VICTORIA   (Canada)

^c UNIVERSITY OF TÜBINGEN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

CENTER OF MASS MOTION; GALILEAN INVARIANCE; MASS FLUX; NONLOCAL; RIGID ROTATION; VELOCITY FIELD;

FLUID DYNAMICS;

HEAT FLUX;

EID: 67349171698     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.80.056303     Document Type: Article

References (26)

1. I. E. Dzyaloshinskii and G. E. Volovick, Ann. Phys. (N.Y.) 125, 67 (1980). 10.1016/0003-4916(80)90119-0
2. Y. L. Klimontovich, Theor. Math. Phys. 92, 909 (1992). 10.1007/BF01015557
3. H. Brenner, Physica A 349, 60 (2005). 10.1016/j.physa.2004.10.034
4. H. Brenner, Physica A 370, 190 (2006). 10.1016/j.physa.2006.03.066
5. H. Brenner, Physica A 388, 3391 (2009). 10.1016/j.physa.2009.04.029
6. S. Chakraborty and F. Durst, Phys. Fluids 19, 088104 (2007). 10.1063/1.2759531
7. H. Struchtrup, Macroscopic Transport Equations for Rarefied Gas Flows (Springer-Verlag, Berlin, 2005).
8. C. J. Greenshields and J. M. Reese, J. Fluid Mech. 580, 407 (2007). 10.1017/S0022112007005575
9. C. J. Greenshields and J. M. Reese, in Proceedings of the Second European Conference for Aerospace Sciences, EUCASS Proceedings, edited by, M. R. Vetrano, and, G. Degrez, (EUCASS, Brussels, 2007), Paper 2.11.02, pp. 1-8.
10. H. C. Öttinger, Beyond Equilibrium Thermodynamics (Wiley, Hoboken, 2005).
11. D. Bedeaux, S. Kjelstrup, and H. C. Öttinger, Physica A 371, 177 (2006). 10.1016/j.physa.2006.05.023
12. A. Bardow and H. C. Öttinger, Physica A 373, 88 (2007). 10.1016/j.physa.2006.05.047
13. H. C. Öttinger, Phys. Rev. Lett. 97, 090601 (2006). 10.1103/PhysRevLett.97.090601
14. H. C. Öttinger, Phys. Rev. Lett. 99, 130602 (2007). 10.1103/PhysRevLett.99.130602
15. P. Kostädt and M. Liu, Phys. Rev. E 58, 5535 (1998). 10.1103/PhysRevE.58.5535
16. L. D. Landau and E. M. Lifshitz, in Fluid Mechanics, Course of Theoretical Physics Vol. 6, 2nd ed. (Pergamon, Oxford, 1987).
17. M. Liu, Phys. Rev. Lett. 100, 098901 (2008). 10.1103/PhysRevLett.100. 098901
18. H. C. Öttinger, Phys. Rev. Lett. 100, 098902 (2008). 10.1103/PhysRevLett.100.098902
19. D. J. Evans and G. P. Morriss, Statistical Mechanics of Nonequilibrium Liquids (Academic Press, London, 1990).
20. I. Müller, Thermodynamics (Pitman, Boston, 1985).
21. H. Goldstein, Classical Mechanics, 2nd ed. (Addison-Wesley, Reading, MA, 1980).
22. B. J. Alder and W. E. Alley, Phys. Today 37 (1), 56 (1984). 10.1063/1.2916048
23. L. D. Landau and E. M. Lifshitz, in Statistical Physics, Part 2, Course of Theoretical Physics Vol. 9, 2nd ed. (Pergamon, Oxford, 1992).
24. L. E. Reichl, A Modern Course in Statistical Physics (University of Texas Press, Austin, 1980).
25. J. M. Ortiz de Zárate and J. V. Sengers, Hydrodynamic Fluctuations in Fluids and Fluid Mixtures (Elsevier, Amsterdam, 2006).
26. H. Grabert, Projection Operator Techniques in Nonequilibrium Statistical Mechanics (Springer-Verlag, Berlin, 1982).