Stokes-Einstein relation in two-and three-dimensional fluids

Journal of Chemical and Engineering Data

Volumn 54, Issue 5, 2009, Pages 1452-1456

  Srivastava, Rajat ^a   Khanna, K N ^a,b  

^a VSSD College Kanpur   (India)

^b MIG   (India)

Author keywords

[No Author keywords available]

Indexed keywords

HARD DISC; LOW TEMPERATURES; SELF-DIFFUSION COEFFICIENTS; SQUARE-WELL POTENTIALS; STOKES-EINSTEIN RELATION; VELOCITY AUTOCORRELATION FUNCTIONS;

REGRESSION ANALYSIS; SULFUR COMPOUNDS; THREE DIMENSIONAL; VISCOSITY;

FLUIDS;

EID: 67749114532     PISSN: 00219568     EISSN: None     Source Type: Journal    
DOI: 10.1021/je800698t     Document Type: Article

References (28)

1. Chapman, S.; Cowling, T. G. The Mathematical Theory of Non-Uniform Gases; Cambridge University Press: Cambridge, England, 1970.
2. Liu, B.; Goree, J.; Vaulina, O. S. Test of the Stokes-Einstein Relation in a Two-Dimensional Yukawa Liquid. Phys. Rev. Lett. 2006, 96, 015005.
3. Green, M. S. Markoff Random Processes and the Statistical Mechanics of Time-Dependent Phenomena. II. Irreversible Processes in Fluids. J. Chem. Phys. 1954, 22, 398-413.
4. Kubo, R. Statistical-Mechanical Theory of Irreversible Processes. I. General Theory and Simple Applications to Magnetic and Conduction Problems. J. Phys. Soc. Jpn. 1957, 12, 570-586.
5. Alder, B. J.; Gass, D. M.; Wainwright, T. E. Studies in Molecular Dynamics. VIII. The Transport Coefficients for a Hard-Sphere Fluid. J. Chem. Phys. 1970, 53, 3813-3826.
6. Evans, G. T. Momentum and stress relaxation in fluids illustrating caging. J. Chem. Phys. 2004, 121, 3667-3670.
7. Zwanzig, R. W. Time correlation functions and transport coefficients in statistical mechanics. Annu. Rev. Phys. Chem. 1965, 16, 67-102.
8. Mori, H. Transport, Collective Motion, and Brownian Motion. Prog. Theo. Phys. 1965, 33, 423-455.
9. Tang, S.; Evans, G. T. Harmonic modes in a hard sphere fluid. Phys. Rev. Lett. 1994, 72, 1666-1669.
10. Srivastava, R.; Khanna, K. N. Self-diffusion coefficients of dense fluid for a square-well fluid. J. Mol. Liq. 2007, 136, 156-160.
11. Nigra, P; Evans, G. T. Stokes-Einstein relations for a square-well fluid. J. Chem. Phys. 2005, 122, 244508.
12. Garcia - Rojo, R.; Luding, S.; Brey, J. J. Transport coefficients for dense hard-disk systems. Phys. Rev. E 2006, 74, 061305.
13. Gass, D. M. Enskog Theory for a Rigid Disk Fluid. J. Chem. Phys. 1971, 54, 1898-1902.
14. Henderson, D. Monte Carlo and perturbation theory studies of the equation of state of the two-dimensional Lennard-Jones fluid. Mol. Phys. 1977, 34, 301-315.
15. Luding, S. Global equation of state of two-dimensional hard sphere systems. Phys. Rev. E 2001, 63, 042201.
16. Tang, S.; Evans, G. T. Coherent translation and libration as seen by a shear viscosity of a classical hard sphere fluid. J. Chem. Phys. 1995, 103, 1544-1552.
17. Branka, A. C; Heyes, D. M. Time correlation functions of hard sphere and soft sphere fluids. Phys. Rev. E 2004, 69, 021202.
18. Kumar, B.; Evans, G. T. Translational dynamics in simple dense fluids. II. Self-diffusion. J. Chem. Phys. 1989, 90, 1812-1818.
19. Sung, W.; Dahler, J. S. Two-fluid theory of coupled kinetic equations for a test particle and a background fluid. J. Chem. Phys. 1983, 78, 6264-6279.
20. Evans, G. T. Translational and rotational dynamics of simple dense fluids. J. Chem. Phys. 1988, 88, 5035-5041.
21. Banaszak, M.; Chiew, Y. C; Radsoz, M. Thermodynamic perturbation theory: Sticky chains and square-well chains. Phys. Rev. E 1993, 48, 3760-3065.
22. Gil - Villegas, A.; Galindo, A.; Whitehead, P. J.; Mills, S. J.; Jackson, G.; Burgess, A. N. Statistical associating fluid theory for chain molecules with attractive potentials of variable range. J. Chem. Phys. 1997, 106, 4168-4186.
23. Michels, J. P. J.; Trappeniers, N. J. Molecular dynamical calculations of the transport properties of a square-well fluid: V. The coefficient of self-diffusion. Physica 1982, 116A, 516-525.
24. Michels, J. P. J.; Trappeniers, N. J. Molecular dynamical calculations on the transport properties of a square-well fluid: II. The viscosity above the critical density. Physica 1980, 104A, 243-254.
25. Liu, B.; Goree, J. Shear Viscosity of Two-Dimensional Yukawa Systems in the Liquid State. Phys. Rev. Lett. 2005, 94, 185002.
26. Ferrario, M.; Fiorino, A.; Ciccotti, G. Long-time tails in twodimensional fluids by molecular dynamics. Physica (Amsterdam) 1997, 240A, 268-276.
27. Hoover, W. G.; Posch, H. A. Shear viscosity via global control of spatiotemporal chaos in two-dimensional isoenergetic dense fluids. Phys. Rev. E. 1995, 51, 273-279.
28. Gravina, D.; Ciccotti, G.; Holian, B. L. Linear and nonlinear viscous flow in two-dimensional fluids. Phys. Rev. E 1995, 52, 6123-6128.