Applications of statistical mechanics in subcontinuum fluid dynamics

Maxwell, 1867, Philos. Trans. R. Soc. Lon. Ser. A, 170, 231, 10.1098/rstl.1879.0067 Maxwell, 1860, Philos. Mag., 19, 20, 10.1080/14786446008642818 E.H. Kennard, Kinetic Theory of Gases, McGraw-Hill, New York, 1938. Kundt, 1875, Philos. Mag., 50, 53, 10.1080/14786447508641259 Timiriazeff, 1913, Ann. Phys., 40, 971, 10.1002/andp.19133450508 Knudsen, 1909, Ann. Phys., 28, 75, 10.1002/andp.19093330106 Knudsen, 1915, Ann. Phys., 48, 1113 W.H. Marlow (Ed.), Aerosols: Aerosol Microphysics I – Particle Interactions, Springer, New York, 1980. J.H. Seinfeld, S.N. Pandis, Atmospheric Chemistry and Physics, Wiley, New York, 1998. E.P. Muntz, D. Weaver, D. Campbell (Eds.), Rarified Gas Dynamics, American Institute of Aeronautics and Astronautics, Washington, 1989. W. Ehrfeld, Elements of Flow and Diffusion Processes in Separation Nozzles, Springer, New York, 1983. C.-J. Kim, (Ed.), Microelectromechanical systems (MEMS), American Society of Mechanical Engineers, New York, 1997. Ho, 1998, Ann. Rev. Fluid Mech., 30, 579, 10.1146/annurev.fluid.30.1.579 Koplik, 1998, Comput. Phys., 12, 424, 10.1063/1.168734 Koplik, 1995, Annu. Rev. Fluid Mech., 27, 257, 10.1146/annurev.fl.27.010195.001353 S. Sugano, Microcluster Physics, Springer, Berlin, 1991. Bhushan, 1995, Nature, 374, 607, 10.1038/374607a0 Bitsanis, 1988, J. Chem. Phys., 89, 3252, 10.1063/1.454972 Loose, 1989, Rheol. Acta, 28, 91, 10.1007/BF01356970 M. Cieplak, J. Koplik, J.R. Banavar, submitted for publication. Millikan, 1923, Phys. Rev., 21, 217, 10.1103/PhysRev.21.217 Bhattacharya, 1991, Phys. Rev. A, 43, 761, 10.1103/PhysRevA.43.761 Morris, 1992, Phys. Rev. A, 46, 5279, 10.1103/PhysRevA.46.5279 Thompson, 1990, Phys. Rev. A, 41, 6830, 10.1103/PhysRevA.41.6830 M.P. Allen, D.J. Tildesley, Computer Simulation of Liquids, Clarendon Press, Oxford, 1987. Grest, 1986, Phys. Rev. A, 33, 3628, 10.1103/PhysRevA.33.3628 Nose, 1984, Mol. Phys., 52, 255, 10.1080/00268978400101201 Hoover, 1985, Phys. Rev. A, 31, 1695, 10.1103/PhysRevA.31.1695 Smoluchowski, 1910, Ann. Phys., 33, 1559, 10.1002/andp.19103381623 C. Cercignani, The Boltzmann Equation and its Applications, Springer, Berlin, 1988. Y. Matsumoto, N. Yamanishi, H. Shobatake, Proceedings of the 19th International Symposium on Rarefied Gas Dynamics, Vol. 995, 1994. Tehver, 1998, Phys. Rev. E, 57, R17, 10.1103/PhysRevE.57.R17