Journal of Chemical Physics
The Journal of Chemical Physics
Search:
   
 
 
 
Previous Article
Layer-by-layer homoepitaxial growth process of MgO(001) as investigated by molecular dynamics, density functional theory, and computer graphics
We applied molecular dynamics, density functional theory, and computer graphics techniques to the investigation of the homoepitaxial growth process of the MgO(001) surface. MgO molecules are deposited...
Next Article
The excitation energy dependence of the Raman–Stokes shift: The resonance Raman spectra of phenol blue in methanol
We found that the Raman–Stokes shift of the CN stretching mode of Phenol Blue changes with excitation energy; the frequency of this Raman band increased with an increase of the excitation energy,...

Dissipative particle dynamics: Bridging the gap between atomistic and mesoscopic simulation

J. Chem. Phys. 107, 4423 (1997); doi:10.1063/1.474784

Issue Date: 15 September 1997

You are not logged in to this journal. Log in

Robert D. Groot and Patrick B. Warren
Unilever Research Port Sunlight Laboratory, Quarry Road East, Bebington, Wirral, L63 3JW, United Kingdom
We critically review dissipative particle dynamics (DPD) as a mesoscopic simulation method. We have established useful parameter ranges for simulations, and have made a link between these parameters and chi-parameters in Flory-Huggins-type models. This is possible because the equation of state of the DPD fluid is essentially quadratic in density. This link opens the way to do large scale simulations, effectively describing millions of atoms, by firstly performing simulations of molecular fragments retaining all atomistic details to derive chi-parameters, then secondly using these results as input to a DPD simulation to study the formation of micelles, networks, mesophases and so forth. As an example application, we have calculated the interfacial tension sigma between homopolymer melts as a function of chi and N and have found a universal scaling collapse when sigma/rhokBTchi0.4 is plotted against chiN for N>1. We also discuss the use of DPD to simulate the dynamics of mesoscopic systems, and indicate a possible problem with the timescale separation between particle diffusion and momentum diffusion (viscosity). ©1997 American Institute of Physics.
History: Received 27 March 1997; accepted 16 June 1997
Permalink: http://link.aip.org/link/?JCPSA6/107/4423/1
BUY THIS ARTICLE   (US$24)
Download PDF (238 kB) View Cart

KEYWORDS and PACS

Keywords
PACS
  • 61.20.Ja
    Structure of solids and liquids; crystallography Structure of liquids Computer simulation of liquid structure
  • 64.10.+h
    Equations of state, phase equilibria, and phase transitions General theory of equations of state and phase equilibria
  • 61.25.Hq
    Structure of solids and liquids; crystallography Studies of specific liquid structures Macromolecular and polymer solutions; polymer melts; swelling
  • 68.10.Cr
    Surfaces and interfaces; thin films and whiskers (Structure and nonelectronic properties) Fluid surfaces and fluidfluid interfaces Surface energy (surface tension, interface tension, angle of contact, etc.)
  • 66.10.Cb
    Transport properties of condensed matter (nonelectronic) Diffusion and ionic conduction in liquids Diffusion and thermal diffusion
  • 66.20.+d
    Transport properties of condensed matter (nonelectronic) Viscosity of liquids; diffusive momentum transport
  • YEAR: 1996-97

PUBLICATION DATA

ISSN:
0021-9606 (print)   1089-7690 (online)
Publisher:
AIP is a member of CrossRef AIP

REFERENCES (31)

For access to fully linked references, you need to log in. For access to fully linked references, you need to Log in.
  1. R. D. Groot and W. G. M. Agterof, J. Chem. Phys. 100, 1649, 1657 (1994).
  2. R. D. Groot and W. G. M. Agterof, Macromolecules 28, 6284 (1995).
  3. R. D. Groot, A. Bot, and W. G. M. Agterof, J. Chem. Phys. 104, 9202 (1996).
  4. P. G. de Gennes and C. Taupin, J. Phys. Chem. 86, 2294 (1982).
  5. T. Odijk, Langmuir 8, 1690 (1992).
  6. D. J. Mitchell, G. J. T. Tiddy, L. Waring, T. Bostock, and M. P. Mc-Donald, J. Chem. Soc., Faraday Trans. 1 79, 975 (1983).
  7. F. S. Bates and G. H. Frederickson, Annu. Rev. Phys. Chem. 41, 525 (1990).
  8. R. G. Larson, J. Chem. Phys. 91, 2479 (1989).
  9. L. Leibler, Macromolecules 13, 1602 (1980);
  10. M. W. Matsen and M. Schick, Phys. Rev. Lett. 72, 2660 (1994).
  11. J. G. E. M. Fraaije, J. Chem. Phys. 99, 9202 (1993).
  12. P. J. Hoogerbrugge and J. M. V. A. Koelman, Europhys. Lett. 19, 155 (1992).
  13. J. M. V. A. Koelman and P. J. Hoogerbrugge, Europhys. Lett. 21, 363 (1993).
  14. Y. Kong, C. W. Manke, W. G. Madden, and A. G. Schlijper, Int. J. Thermophys. 15, 1093 (1994).
  15. A. G. Schlijper, P. J. Hoogerbrugge, and C. W. Manke, J. Rheol. 39, 567 (1995).
  16. P. Español and P. B. Warren, Europhys. Lett. 30, 191 (1995).
  17. M. P. Allen and D. J. Tildesley, Computer Simulation of Liquids (Clarendon, Oxford, 1987).
  18. H. C. Üttinger, Stochastic Processes in Polymeric Fluids (Springer, New York, 1996). This book contains recipes for higher order schemes which could be applied to DPD. The largely heuristic algorithm in Eq. (9) does not appear to map easily on to these though. It is possible that one of these more sophisticated algorithms could further improve the efficiency of the simulation.
  19. As noted by Español and Warren (Ref. 15), there is no difficulty of interpretation of the stochastic differential equations—the Itô and Stratonovich interpretations coincide. This also means that there are no diffusion tensor gradient terms in the first order Euler scheme.
  20. G. Gonella, E. Orlandini, and J. M. Yeomans, Phys. Rev. Lett. 78, 1695 (1997).
  21. B. M. Forrest and U. W. Suter, J. Chem. Phys. 102, 7256 (1995).
  22. E. Helfand, J. Chem. Phys. 63, 2192 (1975).
  23. D. Broseta, G. H. Frederickson, E. Helfand, and L. Leibler, Macromolecules 23, 132 (1990).
  24. E. Helfand, S. M. Bhattacharjee, and G. H. Frederickson, J. Chem. Phys. 91, 7200 (1989).
  25. J. S. Rowlinson and B. Widom, Molecular Theory of Capillarity (Clarendon, Oxford, 1982).
  26. S. H. Anastasiadis, I. Gancarz, and J. T. Koberstein, Macromolecules 21, 2980 (1988).
  27. C. Marsh, G. Backx, and M. H. Ernst, Europhys. Lett. 38, 411 (1997).
  28. The observation that nu = D within the errors is a coincidence dependent on the particular simulation parameters; nu and D move in different directions as gamma is varied.
  29. M. Doi and S. F. Edwards, Theory of Polymer Dynamics (Clarendon, Oxford, 1990).
  30. O. P. Behrend, Ph.D. thesis, University of Edinburgh, 1994.
  31. A. J. C. Ladd (private communication).
  32. E. M. Lifshitz and L. P. Pitaevskii, Physical Kinetics (Pergamon, Oxford, 1981).

CITING ARTICLES

For access to citing articles, you need to log in.
For access to citing articles, you need to Log in.