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Long-range elastic-mediated interaction between nanoparticles adsorbed on free-standing smectic films

I. N. de Oliveira1, M. S. S. Pereira1, M. L. Lyra1, C. Filgueiras2, C. Sátiro2,3, and Fernando Moraes2

  • 1Instituto de Física, Universidade Federal de Alagoas, 57072-970 Maceió, AL, Brazil
  • 2Departamento de Física, Universidade Federal da Paraíba, 58051-970 João Pessoa, PB, Brazil
  • 3Unidade Acadêmica de Garanhuns, Universidade Federal Rural de Pernambuco, 55296-901 Garanhuns, PE, Brazil

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Phys. Rev. E 80, 042702 – Published 14 October, 2009

DOI: https://doi.org/10.1103/PhysRevE.80.042702

Abstract

We determine the elastic-mediated interaction between colloidal nanoparticles adsorbed on the surface of free-standing smectic films. In contrast with the short-range character of the elastic-mediated force between particles adsorbed on smectic films supported by a solid substrate, the effective force acquires a long-range character in free-standing films, decaying with the particles distance R as slow as 1/R. We also discuss the dependence of the effective interaction potential on the surface tension γ and film thickness. We show that it decays as 1/γ in the regime of large surface tensions and becomes independent of the film thickness at a characteristic surface tension.

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References (32)

  1. P. Ziherl, R. Podgornik, and S. Žumer, Phys. Rev. Lett. 82, 1189 (1999); A. Ajdari, L. Peliti, and J. Prost, ibid. 66, 1481 (1991); I. N. de Oliveira and M. L. Lyra, Phys. Rev. E 65, 051711 (2002); ibid. 70, 050702(R) (2004).
  2. R. Lucht and C. Bahr, Phys. Rev. Lett. 78, 3487 (1997).
  3. D. Bartolo, D. Long, and J.-B. Fournier, Europhys. Lett. 49, 729 (2000).
  4. P. V. Dolganov, P. Cluzeau, G. Joly, V. K. Dolganov, and H. T. Nguyen, Phys. Rev. E 72, 031713 (2005).
  5. P. V. Dolganov, H. T. Nguyen, G. Joly, E. I. Kats, V. K. Dolganov, and P. Cluzeau, Zh. Eksp. Teor. Fiz. 132, 756 (2007); Sov. Phys. JETP 105, 665 (2007).
  6. P. Poulin, N. Frances, and O. Mondain-Monval, Phys. Rev. E 59, 4384 (1999).
  7. M. C. Nikolaides, A. R. Bausch, M. F. Hsu, A. D. Dinsmore, M. P. Brenner, C. Gay, and D. A. Weitz, Nature (London) 420, 299 (2002).
  8. U. Ognysta, A. Nych, V. Nazarenko, I. Muševič, M. Škarabot, M. Ravnik, S. Žumer, I. Poberaj, and D. Babič, Phys. Rev. Lett. 100, 217803 (2008).
  9. I. Muševič, M. Škarabot, U. Tkalec, M. Ravnik, and S. Žumer, Science 313, 954 (2006).
  10. J. Kotar, M. Vilfan, N. Osterman, D. Babič, M. Čopič, and I. Poberaj, Phys. Rev. Lett. 96, 207801 (2006).
  11. I. I. Smalyukh, O. D. Lavrentovich, A. N. Kuzmin, A. V. Kachynski, and P. N. Prasad, Phys. Rev. Lett. 95, 157801 (2005).
  12. K. Takahashi, M. Ichikawa, and Y. Kimura, Phys. Rev. E 77, 020703(R) (2008).
  13. C. M. Nöel, G. Bossis, A.-M. Chaze, F. Giulieri, and S. Lacis, Phys. Rev. Lett. 96, 217801 (2006).
  14. M. Škarabot, M. Ravnik, S. Žumer, U. Tkalec, I. Poberaj, D. Babič, N. Osterman, and I. Muševič, Phys. Rev. E 77, 031705 (2008).
  15. S. L. Lopatnikov and V. A. Namiot, Zh. Eksp. Teor. Fiz. 75, 361 (1978); Sov. Phys. JETP 48, 180 (1978).
  16. J. I. Fukuda, H. Stark, M. Yoneya, and H. Yokoyama, Phys. Rev. E 69, 041706 (2004).
  17. D. Andrienko, M. Tasinkevych, P. Patrício, M. P. Allen, and M. M. Telo da Gama, Phys. Rev. E 68, 051702 (2003).
  18. B. I. Lev, S. B. Chernyshuk, P. M. Tomchuk, and H. Yokoyama, Phys. Rev. E 65, 021709 (2002).
  19. V. M. Pergamenshchik and V. O. Uzunova, Phys. Rev. E 76, 011707 (2007).
  20. I. I. Smalyukh, S. Chernyshuk, B. I. Lev, A. B. Nych, U. Ognysta, V. G. Nazarenko, and O. D. Lavrentovich, Phys. Rev. Lett. 93, 117801 (2004).
  21. M. Conradi, P. Ziherl, A. Šarlah, and I. Muševič, Eur. Phys. J. E 20, 231 (2006).
  22. C. Bohley and R. Stannarius, Eur. Phys. J. E 23, 25 (2007); C. Völtz and R. Stannarius, Phys. Rev. E 70, 061702 (2004); C. Bohley and R. Stannarius, Soft Matter 4, 683 (2008).
  23. P. Cluzeau, P. Poulin, G. Joly, and H. T. Nguyen, Phys. Rev. E 63, 031702 (2001).
  24. B. Zhou, G. S. Iannacchione, C. W. Garland, and T. Bellini, Phys. Rev. E 55, 2962 (1997).
  25. J. Yamamoto and H. Tanaka, Nature Mater. 4, 75 (2005).
  26. P. V. Dolganov, H. T. Nguyen, E. I. Kats, V. K. Dolganov, and P. Cluzeau, Phys. Rev. E 75, 031706 (2007).
  27. M. S. Turner and P. Sens, Phys. Rev. E 55, R1275 (1997).
  28. P. Schiller, Phys. Rev. E 62, 918 (2000).
  29. P. Schiller, M. Wahab, and H.-J. Mögel, J. Non-Newtonian Fluid Mech. 119, 145 (2004).
  30. R. Holyst, Phys. Rev. A 44, 3692 (1991).
  31. M. Yada, J. Yamamoto, and H. Yokoyama, Phys. Rev. Lett. 92, 185501 (2004).
  32. P. Poulin, V. Cabuil, and D. A. Weitz, Phys. Rev. Lett. 79, 4862 (1997).

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Phys. Rev. E 80, 042702– Published 14 October, 2009
  • Received 10 June 2009

© 2009 American Physical Society

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