Free Access
Issue
Math. Model. Nat. Phenom.
Volume 6, Number 4, 2011
Granular hydrodynamics
Page(s) 19 - 36
DOI https://doi.org/10.1051/mmnp/20116402
Published online 18 July 2011
  1. J. J. Brey, J. W. Dufty, A. Santos. Dissipative dynamics for hard spheres. J. Stat. Phys., 87 (1997), 1051–1066. [CrossRef]
  2. J. J. Brey, M. J. Ruiz-Montero. Hydrodynamic character of the non-equipartition of kinetic energy in binary granular gases. Phys. Rev. E, 80 (2009), 041306. [CrossRef]
  3. N. Brilliantov, T. Pöschel. Kinetic Theory of Granular Gases. Oxford, New York, 2004.
  4. S. R. Dahl, C. M.Hrenya, V. Garzó, J. W. Dufty. Kinetic temperatures for a granular mixture. Phys. Rev. E, 66 (2006), 04301.
  5. J. W. Dufty. Granular Fluids. R. Meyers, ed. Encyclopedia of Complexity and Systems Science. Springer, Heidelberg, 2009. arXiv:0709.0479.
  6. J. W. Dufty. Nonequilibrium Statistical Mechanics and Hydrodynamics for a Granular Fluid. B. Cichocki, M. Napiorkowski, J. Piasecki, eds. 2nd Warsaw School on Statistical Physics. Warsaw University Press, Warsaw, 2008. arXiv:0707.3714.
  7. J. W. Dufty, A. Baskaran, J J. Brey. Linear response and hydrodynamics for granular fluids. Phys. Rev. E, 77 (2008), 031310. [CrossRef] [MathSciNet]
  8. J. W. Dufty, J. J. Brey. Origins of hydrodynamics for a granular gas. L. Pareschi,G. Russo, G. Toscani eds. Modelling and Numerics of Kinetic Dissipative Systems. Nova Science, NY, 2005; arXiv:cond-mat/0410133.
  9. J. Ferziger, H. Kaper. Mathematical Theory of Transport Processes in Gases. North-Holland, Amsterdam, 1972.
  10. D. Forster. Hydrodynamic Fluctuations, Broken Symmetry, and Correlation Functions. Benjamin, Reading, MA, 1975.
  11. V. Garzó, J. Dufty. Homogeneous cooling state for a granular mixture. Phys. Rev. E, 60 (1999), 5706–5713. [CrossRef]
  12. I. Goldhirsch. Rapid Granular Flows. Annual Review of Fluid Mechanics, 35 (2003), 267–293. [CrossRef]
  13. H. Grabert. Projection Operator Techniques in Nonequilibrium Statistical Mechanics. Springer, Berlin, 1982.
  14. T. Halsey, A. Mehta, eds. Challenges in Granular Physics. World Scientific, Singapore, 2002.
  15. H. Iddir and H. Arastoopour. Modeling of multitype particle flow using the kinetic theory approach. AIChe. J., 51 (2005), 1620–1632. [CrossRef]
  16. J. Jenkins, F. Mancini. Balance laws and constitutive relations for plane flows of a dense binary mixture of smooth nearly elastic circular disks. J. Appl. Mech., 54 (1987), 27–34. [CrossRef]
  17. D. Jou, J. Casas-Vazquez, G. Lebon. Extended Irreversible Thermodynamics. Rep. Prog. Phys., 51 (1988), 1105. [CrossRef]
  18. L. P. Kadanoff. Built upon sand: Theoretical ideas inspired by granular flows. Rev. Mod. Phys., 71 (1999), 435–444. [CrossRef]
  19. J. Lutsko. Approximate solution of the Enskog equation far from equilibrium. Phys. Rev. Lett., 78 (1997), 243-246. [NASA ADS] [CrossRef]
  20. J. Lutsko. Rheology of dense polydisperse granular fluids under shear. Phys. Rev. E, 70 (2004), 061101. [CrossRef]
  21. P. Martin, O. Parodi, P. Pershan. Unified Hydrodynamic Theory for Cristals, Liquids, and Normal Fluids. Phys. Rev. A, 6 (1972), 2401-2420. [CrossRef]
  22. J. A. McLennan. Introduction to Nonequilibrium Statistical Mechanics. Prentice-Hall, New Jersey, 1989.
  23. J. M. Montanero, V. Garzó. Monte Carlo simulations of the homogeneous cooling state for a granular mixture. Granular Matter, 4 (2002), 17–24. [CrossRef]
  24. A. Santos, J. Dufty. Strong breakdown of equipartition in uniform gas mixtures. M. S. Ivanov, A. K. Rebrov, eds. Rarefied Gas Dynamics. Publishing House of the Siberian Branch of the Russian Academy of Sciences, Novosibirsk, 2007.
  25. R. Zwanzig. Nonequilibrium Statistical Mechanics, Oxford, NY, 2001.
  26. R. Zwanzig. Memory Effects in Irreversible Thermodynamics. Phys. Rev., 124 (1961), 983–992. [CrossRef]

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