Skip to main content

Monte Carlo Studies of the Self-Assembly of Amphiphilic Molecules

  • Chapter
High Performance Computing Systems and Applications

Part of the book series: The International Series in Engineering and Computer Science ((SECS,volume 541))

  • 248 Accesses

Abstract

Theoretical studies can provide useful insight into the self-assembly and aggregation of amphiphilic molecules in good solvent. In this paper, we report on Monte Carlo simulations of such systems in which the molecules form approximately spherical micelles. We carry out a systematic study of the aggregate sizes and size distributions, as well as the onset of micelle formation as functions of surfactant molecular weight, composition and solvent quality. The simulations use a 3-dimensional cubic lattice and a coarse grained model of the molecules. At each step of the simulation, we monitor various relaxation times in order to ensure that equilibrium is attained. The problem is computationally challenging because of the high molecular weight, chain-like structure of the molecules, the required minimum system size, and the very high energy barriers associated with inter-micelle movement of the chains.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • A. T. Bernardes, V. B. Henriques and P. M. Bisch. (1994). Monte Carlo simulation of a lattice model formation. J. Chem. Phys., 101(1):645–650.

    Article  Google Scholar 

  • S. Boyden, N. Jan and T. Ray. (1996). Monte Carlo Simulations of Microemulsions. Nuevo Cimento D.S.I.F.D.C, 16(2): 1439–1445.

    Google Scholar 

  • N. Dan and S. A. Safran. (1994). Self-assembly in mixtures of diblock copolymers. Macromolecules, 27(24):5766–5772.

    Google Scholar 

  • J. C. Depslat and C. M. Care. (1994). A Monte Carlo simulation of the micellar phase of an amphiphile and solvent mixture. Macromolecular Physics, 87(2):441–453.

    Google Scholar 

  • I. Dornic and B. Widom. (1995). Development of periodic order in disordered surfactant solution phases. Molecular Physics, 86(4):675–684.

    Google Scholar 

  • J. Israelachvili. (1992). Intermolecular surfaces and forces. Academic Press, Chap. 16, San Diego.

    Google Scholar 

  • N. Jan and S. MacLeod. (1998). Large lattice simulation of random site percolation. Int. J. of Modern Physics, 9(2):289–294.

    Google Scholar 

  • S. Karaboni, K. Esselink, P, P. A. J. Hilbers, B. Smit, J. Karthauser, N. M. van Os and R. Zana. (1994). Simulating the self assembly of gemini surfactants. Science, 266:254–256.

    Google Scholar 

  • T. Kawakatsu, K. Kawasaki, M. Furusaka, H. Okabayashi and T. Kanaya. (1994). Theories and computer simulations of self assembling surfactants systems. J. Phys. Condensed Matter, 6:6358–6408.

    Article  Google Scholar 

  • P. G. Khalatur, A. R. Khokhlov, I. A. Nyrkova and A. Semenov. (1996). Aggregation processes in self-associating polymer systems: computer simulation study of micelles in the superstrong segregation regime. Macromol. Theory and Simul., 5:713–747.

    Google Scholar 

  • P. G. Khalatur, A. R. Khokhlov, D. R. Mologin and E. A. Zheligovskaya. (1998). Computer simulations of aggregates of associating polymers. Macro. Theory Simul., 7:299–316.

    Google Scholar 

  • R. G. Larson. (1988). Monte Carlo simulation of amphiphilic systems in two and three dimensions J. Chem. Phys., 89(3):1642–1651.

    Article  MathSciNet  Google Scholar 

  • R. G. Larson, L. Scriven and H. T. Davis. (1985). Monte Carlo simulation of model amphiphile-oil-water systems. J. Chem. Phys., 83(5):2411–2420.

    Article  Google Scholar 

  • R. G. Larson. (1992). Monte Carlo simulation of microstructural transitions in surfactant systems. J. Chem. Phys., 96(11):7904–7918.

    Article  Google Scholar 

  • H. Liu and Y. Hu. (1998). Equation of state for systems containing chainlike molecules. Ind. Eng. Chem. Res., 37(8):3058–3066.

    Google Scholar 

  • P. K. Maiti and D. Chowdury. (1998). Micellar aggregates of gemini surfactants: Monte Carlo simulation of microscopic model. Euro. Phys Letter, 41(2):183–188.

    Google Scholar 

  • W. Mattice and T. Haliloglu. (1993). Monte Carlo lattice simulation of the exchange between micelles of diblock copolymer. Polymer Preprints, 34(2):460–465.

    Google Scholar 

  • W. L. Mattice and Y. Wang. (1993). Simulation of the formation of micelles by diblock copolymers under weak segregation. Langmuir, 9(1):66–70.

    Google Scholar 

  • P. H. Nelson, G. C. Rutledge and T. A. Hatton. (1997). On the shape and size of self-assembled micelles. J. Chem. Phys., 107(24):10777–10781.

    Article  Google Scholar 

  • R. R. Netz and M. Schick. (1996). Pore formation and rupture in fluid bilayers. Phys. Rev. E, 53(4):3875–3885.

    Article  Google Scholar 

  • B. J. Palmer and J. Liu. (1996). Simulations of micelle self-assembly in surfactant solutions. Langmuir, 12(3):6015–6021.

    Article  Google Scholar 

  • M. Pépin. (1999). Monte Carlo and mean field studies of polymers in solution. Ph.D. Thesis, Memorial University of Newfoundland.

    Google Scholar 

  • J. F. Rusling and T. F. Kumosinski. (1995). An approximation to hydrophobic attraction for self-assembled surfactant aggregates. J. Phys. Chem., 99(22):9241–9247.

    Article  Google Scholar 

  • R. Sayle and E. J. Milner-White. (1995). RasMol: Biomolecular graphics for all. Trends in Biochemical Sciences (TIBS), 20(9):374.

    Google Scholar 

  • D. Stauffer, N. Jan and R. B. Pandey. (1993). Simulation of amphiphilic polymer chains in a lattice model for microemulsions. Physics Abstracts, 198:401–409.

    Google Scholar 

  • D. Stauffer and N. Jan. (1994). Simulation of membranes, micelles and interfaces with asymmetric surfactants. J. Phys. I France, 4:345–350.

    Google Scholar 

  • D. Stauffer, N. Jan, Y. He, R. B. Pandey, D. G. Marangoni and T. Smith-Palmer. (1994). Micelle formation, relaxation time and three-phase coexistence in a microemulsion model. J. Chem. Phys., 100(9):6934–6941.

    Article  Google Scholar 

  • M. M, Stecker and G. B. Benedek. (1984). Theory of multicomponent micelles and microemulsions. J. Phys. Chem., 88(26):6519–6544.

    Article  Google Scholar 

  • M. Surridge, D. J. Tildesley, Y. C. Kong and D. B. Adolf. (1996). A parallel molecular dynamics simulation code for dialkyl cationic surfactants. Parallel Computing, 22:1053–1071.

    Article  Google Scholar 

  • S. K. Talsania, Y. Wang, R. Rajagopalan and K. K. Kishore. (1997). Monte Carlo simulations for micellar encapsulation. J. Colloidal and Inter. Sci., 190:92–103.

    Google Scholar 

  • M. D. Whitmore, J. P. Whitehead and A. Roberge. (1998). Self-consistent field theory of compressible phospholipid membranes at ambient pressure. Can. J. Phys., 76(11):831–881.

    Google Scholar 

  • M. D. Whitmore and J. P. Whitehead. (1998). Self-consistent field theory of compressible phospholipid membranes at finite pressure. Can. J. Phys., 76(11):833–898.

    Google Scholar 

  • B. Widom. (1984). Lattice-gas model of amphiphiles and of their orientation at interfaces. J. Chem. Phys., 88:6508–6514.

    Google Scholar 

  • B. Widom. (1996). Theoretical modelling: An introduction. Berichte der Bunsen Gess. fur Phys. Chem., 100(3):242–251.

    Google Scholar 

  • C. M. Wijmans and P. Linse. (1995). Modeling of nonionic micelles. Langmuir, 11(10):3748–3756.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2002 Kluwer Academic Publishers

About this chapter

Cite this chapter

Kenward, M., Whitmore, M.D. (2002). Monte Carlo Studies of the Self-Assembly of Amphiphilic Molecules. In: Pollard, A., Mewhort, D.J.K., Weaver, D.F. (eds) High Performance Computing Systems and Applications. The International Series in Engineering and Computer Science, vol 541. Springer, Boston, MA. https://doi.org/10.1007/0-306-47015-2_49

Download citation

  • DOI: https://doi.org/10.1007/0-306-47015-2_49

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-0-7923-7774-0

  • Online ISBN: 978-0-306-47015-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics