Abstract
The elastic and capillary interactions between a pair of colloidal particles trapped on top of a nematic film are studied theoretically for large separations d. The elastic interaction is repulsive and of quadrupolar type, varying as d-5. For macroscopically thick films, the capillary interaction is likewise repulsive and proportional to d-5 as a consequence of mechanical isolation of the system comprised of the colloids and the interface. A finite film thickness introduces a nonvanishing force on the system (exerted by the substrate supporting the film) leading to logarithmically varying capillary attractions. However, their strength turns out to be too small to be of importance for the recently observed pattern formation of colloidal droplets on nematic films.
References
P. Pieranski, Phys. Rev. Lett. 45, 569 (1980).
R. Aveyard, B.P. Binks, J.H. Clint, P.D.I. Fletcher, T.S. Horozov, B. Neumann, V.N. Paunov, J. Annesley, S.W. Botchway, D. Nees, A.W. Parker, A.D. Ward, A.N. Burgess, Phys. Rev. Lett. 88, 246102 (2002).
B.J. Park, J.P. Pantina, E. Furst, M. Oettel, S. Reynaert, J. Vermant, Langmuir 24, 1686 (2008).
C. Zeng, H. Bissig, A.D. Dinsmore, Solid State Commun. 139, 547 (2006).
F. Bresme, M. Oettel, J. Phys.: Condens. Matter 19, 413101 (2007).
M. Oettel, S. Dietrich, Langmuir 24, 1425 (2008).
F. Ghezzi, J.C. Earnshaw, J. Phys.: Condens. Matter 9, L517 (1997).
J. Ruiz-García, B.I. Ivlev, Mol. Phys. 95, 371 (1998).
M. Quesada-Pérez, A. Moncho-Jordá, F. Martínez-López, R. Hidalgo-Alvarez, J. Chem. Phys. 115, 10897 (2001).
O. Gómez-Guzmán, J. Ruiz-García, J. Colloid Interface Sci. 291, 1 (2005).
W. Chen, S.S. Tan, Z.S. Huang, T.K. Ng, W.T. Ford, P. Tong, Phys. Rev. E 74, 021406 (2006).
J.C. Fernández-Toledano, A. Moncho-Jordá, F. Martínez-López, R. Hidalgo-Alvarez, Langmuir 20, 6977 (2004).
I.I. Smalyukh, S. Chernyshuk, B.I. Lev, A.B. Nych, U. Ognysta, V.G. Nazarenko, O.D. Lavrentovich, Phys. Rev. Lett. 93, 117801 (2004).
A.B. Nych, U.M. Ognysta, V.M. Pergamenshchik, B.I. Lev, V.G. Nazarenko, I. Musevic, M. Skarabot, O.D. Lavrentovich, Phys. Rev. Lett. 98, 057801 (2007).
P.A. Kralchevsky, K. Nagayama, Adv. Colloid Interface Sci. 85, 145 (2000).
M.G. Nikolaides, A.R. Bausch, M.F. Hsu, A.D. Dinsmore, M.P. Brenner, C. Gay, D.A. Weitz, Nature 420, 299 (2002).
M. Megens, J. Aizenberg, Nature 424, 1014 (2003).
M.G. Nikolaides, A.R. Bausch, M.F. Hsu, A.D. Dinsmore, M.P. Brenner, C. Gay, D.A. Weitz, Nature 424, 1014 (2003).
L. Foret, A. Würger, Phys. Rev. Lett. 92, 058302 (2004).
K.D. Danov, P.A. Kralchevsky, M.P. Boneva, Langmuir 20, 6139 (2004).
M. Oettel, A. Domínguez, S. Dietrich, Phys. Rev. E 71, 051401 (2005).
M. Oettel, A. Domínguez, S. Dietrich, Langmuir 22, 846 (2006).
K.D. Danov, P.A. Kralchevsky, Langmuir 22, 848 (2006).
K.D. Danov, P.A. Kralchevsky, M.P. Boneva, Langmuir 22, 2653 (2006).
A. Domínguez, M. Oettel, S. Dietrich, J. Chem. Phys. 128, 114904 (2008).
M. Oettel, A. Domínguez, S. Dietrich, J. Phys.: Condens. Matter 17, L337 (2005).
A. Würger, L. Foret, J. Phys. Chem. B 109, 16435 (2005).
A. Domínguez, M. Oettel, S. Dietrich, J. Phys.: Condens. Matter 17, S3387 (2005).
A. Domínguez, M. Oettel, S. Dietrich, J. Chem. Phys. 127, 204706 (2007).
P.G. de Gennes, The Physics of Liquid Crystals (Clarendon, Oxford, 1993).
M. Kleman, O.D. Lavrentovich, Soft Matter Physics: An Introduction (Springer, New York, 2003).
J. Schwinger, L.L. DeRaad jr., K.A. Milton, W. Tsai, Classical Electrodynamics (Perseus, Reading, 1998) Chapt. 11.2.
P. Poulin, H. Stark, T.C. Lubensky, D.A. Weitz, Science 275, 1770 (1997).
T.C. Lubensky, D. Pettey, N. Currier, H. Stark, Phys. Rev. E 57, 610 (1998).
R.W. Ruhwandl, E.M. Terentjev, Phys. Rev. E 55, 2958 (1997).
S. Ramaswamy, R. Nityananda, V.A. Raghunathan, J. Prost, Mol. Cryst. Liq. Cryst. 288, 175 (1996).
J. Fukuda, B.I. Lev, K.M. Aoki, H. Yokoyama, Phys. Rev. E 66, 051711 (2002).
H. Stark, Eur. Phys. J. B 10, 311 (1999).
D. Andrienko, M. Tasinkevych, S. Dietrich, Europhys. Lett. 70, 95 (2005).
D. Pettey, T.C. Lubensky, D.R. Link, Liq. Cryst. 25, 579 (1998).
O. Lavrentovich, private communication.
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Oettel, M., Domınguez, A., Tasinkevych, M. et al. Effective interactions of colloids on nematic films. Eur. Phys. J. E 28, 99–111 (2009). https://doi.org/10.1140/epje/i2008-10360-1
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DOI: https://doi.org/10.1140/epje/i2008-10360-1
PACS
- 82.70.Dd Colloids
- 68.03.Cd Surface tension and related phenomena
- 61.30.-v Liquid crystals