Kinetic theory for dissipative particle dynamics: The importance of collisions

Europhysics Letters

Volumn 48, Issue 1, 1999, Pages 1-7

  Masters, A J ^a   Warren, P B ^b  

^a UNIVERSITY OF MANCHESTER   (United Kingdom)

^b UNILEVER RESEARCH   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033201465     PISSN: 02955075     EISSN: None     Source Type: Journal    
DOI: 10.1209/epl/i1999-00105-4     Document Type: Article

References (21)

1. For a recent review, see WARREN P. B., Curr. Opinion Colloid Interface Sci., 3 (1998) 620.
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3. ESPAÑOL P. and WARREN P. B., Europhys. Lett., 30 (1995) 191.
4. GROOT R. D. and WARREN P. B., J. Chem. Phys., 107 (1998) 4423.
5. ESPAÑOL P., Phys. Rev. E, 52 (1995) 1734.
6. MARSH C. A., BACKX G. and ERNST M. H., Europhys. Lett., 38 (1997) 411; Phys. Rev. E, 56 (1997) 1676.
7. MARSH C. A., BACKX G. and ERNST M. H., Europhys. Lett., 38 (1997) 411; Phys. Rev. E, 56 (1997) 1676.
8. EVANS G. T., J. Chem. Phys., 110 (1999) 1338.
9. ESPAÑOL P. and SERRANO M., Phys. Rev. E, 59 (1999) 6340.
10. MBE (PAGONABARRAGA I., private communication).
11. For algorithm details refer to [4]. All simulations were done in three dimensions. Shear was applied using Lees-Edwards sliding boundary conditions, and the various contributions to the viscosity determined by measuring various contributions to the stress tensor. The VACF is measured from a sample of tracer particles in an unsheared box, and the self-diffusion coefficient is extracted both by integration of the VACF, and by measuring the rate of growth of the mean square displacement of the tracer particles. We have been careful to keep systematic artifacts such as those due to a finite box size, finite shear rate or a finite time step size to within the error bars.
12. ALDER B. J. and WAINWRIGHT T. E., Phys. Rev. A, 1 (1970) 18. Our simulations were intended to probe the early time behaviour of the VACF, and we have not carried them through to sufficient precision to see the long time tail unambiguously.
13. Κ. We have not explored these in great detail.
14. CHAPMAN S. and COWLING T., The Mathematical Theory of Non-uniform Gases (CUP, Cambridge) 1939; RÉSIBOIS P. and DE LEENER M., Classical Kinetic Theory of Fluids (Wiley, New York) 1977.
15. CHAPMAN S. and COWLING T., The Mathematical Theory of Non-uniform Gases (CUP, Cambridge) 1939; RÉSIBOIS P. and DE LEENER M., Classical Kinetic Theory of Fluids (Wiley, New York) 1977.
16. Κ = 0.422(5) + 3.79(2)/γ and ρD = 0.560(5) + 7.224(6)/γ. It is these lines which are shown in fig. 3. At present we do not have an explanation for the apparent exactitude of these straight line fits.
17. Our results do support the assertion of ES that correlation effects become more important as γ increases.
18. ERNST M. H., PAGONABARRAGA I. and RIPOLL M., preprint.
19. AVALOS J. B. and MACKIE A. D., Europhys. Lett., 40 (1997) 141; ESPAÑOL P., Europhys. Lett., 40 (1997) 631; ESPAÑOL P., Phys. Rev. E, 57 (1998) 2930.
20. AVALOS J. B. and MACKIE A. D., Europhys. Lett., 40 (1997) 141; ESPAÑOL P., Europhys. Lett., 40 (1997) 631; ESPAÑOL P., Phys. Rev. E, 57 (1998) 2930.
21. AVALOS J. B. and MACKIE A. D., Europhys. Lett., 40 (1997) 141; ESPAÑOL P., Europhys. Lett., 40 (1997) 631; ESPAÑOL P., Phys. Rev. E, 57 (1998) 2930.