Journal of Chemical Physics
The Journal of Chemical Physics
   
 
 
 
Previous Article
Investigating the dominant corrections to the strong-stretching theory for dry polymeric brushes
The accuracy of strong-stretching theory (SST) is examined against a detailed comparison to self-consistent field theory (SCFT) on dry polymeric brushes with thicknesses of up to ~17 times the natural...
Next Article
Effect of solvent quality on the conformations of a model comb polymer
The effect of solvent quality on the equilibrium structure of a densely branched comb polymer is investigated based on the structure factor analyses by off-lattice Monte Carlo simulations. First, thet...

Interactions between spherical colloids mediated by a liquid crystal: A molecular simulation and mesoscale study

J. Chem. Phys. 121, 1949 (2004); doi:10.1063/1.1761054

Issue Date: 22 July 2004

You are not logged in to this journal. Log in

Evelina B. Kim, Orlando Guzmán, Sylvain Grollau, Nicholas L. Abbott, and Juan J. de Pablo
Department of Chemical and Biological Engineering, University of Wisconsin, Madison, Wisconsin 53706
Monte Carlo simulations and dynamic field theory (DyFT) are used to study the interactions between dilute spherical particles, dispersed in nematic and isotropic phases of a liquid crystal. A recently developed simulation method (expanded ensemble density of states) was used to determine the potential of mean force (PMF) between the two spheres as a function of their separation and size. The PMF was also calculated by a dynamic field theory that describes the evolution of the local tensor order parameter. Both methods reveal an overall attraction between the colloids in the nematic phase; in the isotropic phase, the overall attraction between the colloids is much weaker, whereas the repulsion at short range is stronger. In addition, both methods predict a new topology of the disclination lines, which arises when the particles approach each other. The theory is found to describe the results of simulations remarkably well, down to length scales comparable to the size of the molecules. At separations corresponding to the width of individual molecular layers on the particles' surface, the two methods yield different defect structures. We attribute this difference to the neglect of density inhomogeneities in the DyFT. We also investigate the effects of the size of spherical colloids on their interactions. ©2004 American Institute of Physics.
History: Received 18 March 2004; accepted 21 April 2004
Permalink: http://link.aip.org/link/?JCPSA6/121/1949/1
BUY THIS ARTICLE   (US$28)
Download HTML Download Sectioned HTML Download PDF (1408 kB) View Cart

KEYWORDS and PACS

Keywords
PACS
  • 61.30.Cz
    Molecular and microscopic models and theories of liquid crystal structure
  • 61.30.Jf
    Defects in liquid crystals
  • 82.70.Dd
    Colloids
  • YEAR: 2004

RELATED DATABASES


To view database links for this article,
you need to log in.
To view database links for this article,
you need to log in.

PUBLICATION DATA

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

REFERENCES (35)

For access to fully linked references, you need to log in. For access to fully linked references, you need to Log in.
  1. V. K. Gupta, J. J. Skaife, T. B. Dubrovsky, and N. L. Abbott, Science 279, 2077 (1998).
  2. J. A. Van Nelson, S.-R. Kim, and N. L. Abbott, Langmuir 18, 5031 (2002).
  3. P. G. de Gennes and J. Prost, The Physics of Liquid Crystals, 2nd ed. (Clarendon, Oxford, 1993).
  4. Y. Gu and N. L. Abbott, Phys. Rev. Lett. 85, 4719 (2000).
  5. P. Poulin, V. Cabuil, and D. A. Weitz, Phys. Rev. Lett. 79, 4862 (1997).
  6. P. Poulin and D. A. Weitz, Phys. Rev. E 57, 626 (1998).
  7. R. Verma, J. C. Crocker, T. C. Lubensky, and A. G. Yodh, Phys. Rev. Lett. 81, 4004 (1998).
  8. K.-H. Lin, J. C. Crocker, A. C. Zeri, and A. G. Yodh, Phys. Rev. Lett. 87, 088301 (2001).
  9. J. L. Billeter and R. A. Pelcovits, Phys. Rev. E 62, 711 (2000).
  10. D. Andrienko, G. Germano, and M. P. Allen, Phys. Rev. E 63, 041701 (2001).
  11. D. Andrienko, M. P. Allen, G. Skacej, and S. Zumer, Phys. Rev. E 65, 041702 (2002).
  12. E. B. Kim, R. Faller, Q. Yan, N. L. Abbott, and J. J. de Pablo, J. Chem. Phys. 117, 7781 (2002).
  13. S. Grollau, E. B. Kim, O. Guzmán, N. L. Abbott, and J. J. de Pablo, J. Chem. Phys. 119, 2444 (2003).
  14. O. Guzmán, E. B. Kim, S. Grollau, N. L. Abbott, and J. J. de Pablo, Phys. Rev. Lett. 91, 235507 (2003).
  15. E. M. Terentjev, Phys. Rev. E 51, 1330 (1995).
  16. R. W. Ruhwandl and E. M. Terentjev, Phys. Rev. E 55, 2958 (1997).
  17. H. Stark, J. Stelzer, and R. Bernhard, Eur. Phys. J. B 10, 515 (1999).
  18. A. Borstnik, H. Stark, and S. Zumer, Phys. Rev. E 60, 4210 (1999).
  19. B. I. Lev, S. B. Chernyshuk, P. M. Tomchuk, and H. Yokoyama, Phys. Rev. E 65, 021709 (2002).
  20. M. Tasinkevych, N. M. Sylvestre, P. Patricio, and M. M. Telo da Gama, Eur. Phys. J. B 9, 341 (2002).
  21. P. Galatola and J.-B. Fournier, Phys. Rev. Lett. 86, 3915 (2001).
  22. P. Galatola, J.-B. Fournier, and H. Stark, Phys. Rev. E 67, 031404 (2003).
  23. S. Grollau, N. L. Abbott, and J. J. de Pablo, Phys. Rev. E 67, 011702 (2003).
  24. J.-B. Fournier and P. Galatola, Phys. Rev. E 65, 032702 (2002).
  25. A. N. Beris and B. J. Edwards, Thermodynamics of Flowing Systems (Oxford University Press, Oxford, 1994).
  26. F. Calvo, Mol. Phys. 100, 3421 (2002).
  27. L. A. T. Espinoza, K. R. Schumann, Y. Y. Luk, B. A. Israel, and N. L. Abbott, Langmuir 20, 2375 (2004).
  28. N. Schopohl and T. J. Sluckin, Phys. Rev. Lett. 59, 2582 (1987).
  29. Simulations were performed with A = 1, L1 = 0.55, D* = 0.35. For a nematic potential U = 3, these values imply Seq = 0.5, xi=1.81, and Gamma=0.622. Given suitable pressure, length, and time scales, these parameters can be mapped to L1 = 8.73 pN and Gamma=6.22 Pa–1 s–1. The corresponding Frank elastic constants are then given by K11 = K22 = K33 = 4.37 pN. These material parameter values are representative of a 5CB liquid crystal.
  30. M. Doi and S. F. Edwards, The Theory of Polymer Dynamics (Clarendon, Oxford, 1989).
  31. Simulations were performed with A = 1, L1 = 0.55, D* = 0.35. For the isotropic and nematic phases we used U = 1.0 and U = 4.8, respectively.
  32. E. B. Kim and J. J. de Pablo, Phys. Rev. E 69, 061703 (2004).
  33. For the isotropic phase, P2 should be zero; however, in a simulation of finite number of particles and over a finite time, this value is virtually unattainable from purely statistical point of view (for a large number of samples N of random orientation, the asymptotic value of the order parameter will be proportional to N–1/2). Therefore, the P2 value obtained in a bin on a rectangular grid from only 500 configurations will depend on the bin size, i.e., although the local average P2 in a bin far away from the spheres will be representative of any such bin, this value will drop as the bin size increases. For example, if we calculate P2 averaged over all configurations and the entire system exclusive of the spheres and the adjacent regions, the resulting value is 0.03; for a bin size of 0.4×0.4×0.5sigma<sub>0</sub><sup>3</sup> (the resulting P2 map is shown in Fig. 11), the average is 0.25. Clearly, the latter value is too high; however, our motivation for such fine grid was to reproduce the P2 map close to the spheres surface where the ordering changes very quickly with the distance.
  34. To model strong anchoring conditions in the isotropic phase we used the same boundary conditions as in the nematic phase, i.e., a uniaxial order parameter tensor with U = 4.8 (Seq = 0.8). In the bulk the nematic potential U was set to 1.0, which corresponds to the scalar order parameter of zero.
  35. K. Yaman, C. Jeppensen, and C. M. Marques, Europhys. Lett. 42, 221 (1998).

CITING ARTICLES

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