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Ordering kinetics in liquid crystals with long-ranged interactions

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Abstract.

We present the results from comprehensive Monte Carlo (MC) simulations of ordering kinetics in d = 2 liquid crystals (LCs). Our LC system is described by the two-component Lebwohl-Lasher model with long-ranged interactions, V(r) ∼ r -n . We find that systems with \(n \geq 2\) show the same dynamical behavior as the nearest-neighbor case (n = ∞ . This contradicts available theoretical predictions.

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References

  1. A.J. Bray, Adv. Phys. 43, 357 (1994)

    Article  ADS  MathSciNet  Google Scholar 

  2. S. Puri, V. Wadhawan (Editors), Kinetics of Phase Transitions (CRC Press, Boca Raton, 2009)

  3. S. Puri, Phase Transit. 77, 407 (2004)

    Article  Google Scholar 

  4. A. Onuki, Phase Transition Dynamics (Cambridge University Press, Cambridge, 2002)

  5. P.G. de Gennes, J. Prost, The Physics of Liquid Crystals, second edition (Clarendon Press, Oxford, 1993)

  6. S. Singh, Liquid Crystals Fundamentals (World Scientific, Singapore, 2002)

  7. P.A. Lebwohl, G. Lasher, Phys. Rev. A 6, 426 (1972)

    Article  ADS  Google Scholar 

  8. P. Pasini, C. Zannoni, S. Zumer (Editors), Computer Simulations of Liquid Crystals and Polymers (Kluwer Academic Press, New York, 2005)

  9. L. Michel, Rev. Mod. Phys. 52, 617 (1980)

    Article  ADS  Google Scholar 

  10. I.L. Chuang, R. Durrer, N. Turok, B. Yurke, Science 251, 1336 (1991)

    Article  ADS  Google Scholar 

  11. I.L. Chuang, N. Turok, B. Yurke, Phys. Rev. Lett. 66, 2472 (1991)

    Article  ADS  Google Scholar 

  12. A. Pargellis, N. Turok, B. Yurke, Phys. Rev. Lett. 67, 1570 (1991)

    Article  ADS  Google Scholar 

  13. A. Pargellis, S. Green, B. Yurke, Phys. Rev. E 49, 4250 (1994)

    Article  ADS  Google Scholar 

  14. R.E. Blundell, A.J. Bray, Phys. Rev. A 46, R6164 (1992)

    Article  ADS  Google Scholar 

  15. S. Dutta, S.K. Roy, Phys. Rev. E 71, 026119 (2005)

    Article  ADS  Google Scholar 

  16. A. Singh, S. Ahmad, S. Puri, S. Singh, EPL 100, 36004 (2012)

    Article  ADS  Google Scholar 

  17. S. Puri, C. Roland, Phys. Lett. A 151, 500 (1990)

    Article  ADS  Google Scholar 

  18. A.J. Bray, S. Puri, Phys. Rev. Lett. 67, 2670 (1991)

    Article  ADS  Google Scholar 

  19. S. Puri, Phys. Lett. A 164, 211 (1992)

    Article  ADS  Google Scholar 

  20. A.J. Bray, S. Puri, R.E. Blundell, A.M. Somoza, Phys. Rev. E 47, R2261 (1993)

    Article  ADS  Google Scholar 

  21. M. Zapotocky, P.M. Goldbart, N. Goldenfeld, Phys. Rev. E 51, 1216 (1995)

    Article  ADS  Google Scholar 

  22. J.L. Billeter, A.M. Smondyrev, G.B. Loriot, R.A. Pelcovits, Phys. Rev. E 60, 6831 (1999)

    Article  ADS  Google Scholar 

  23. A.K. Bhattacharjee, G.I. Menon, R. Adhikari, Phys. Rev. E 78, 026707 (2008)

    Article  ADS  Google Scholar 

  24. H. Hayakawa, Z. Racz, T. Tsuzuki, Phys. Rev. E 47, 1499 (1993)

    Article  ADS  Google Scholar 

  25. H. Hayakawa, T. Ishihara, K. Kawanishi, T.S. Kobayakawa, Phys. Rev. E 48, 4257 (1993)

    Article  ADS  Google Scholar 

  26. A.J. Bray, Phys. Rev. E 47, 3191 (1993)

    Article  ADS  Google Scholar 

  27. K. Binder, D. Stauffer, Phys. Rev. Lett. 33, 1006 (1974)

    Article  ADS  Google Scholar 

  28. T. Ohta, D. Jasnow, K. Kawasaki, Phys. Rev. Lett. 49, 1223 (1982)

    Article  ADS  Google Scholar 

  29. Y. Oono, S. Puri, Mod. Phys. Lett. B 2, 861 (1988)

    Article  ADS  Google Scholar 

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Correspondence to Sanjay Puri.

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Singh, A., Ahmad, S., Puri, S. et al. Ordering kinetics in liquid crystals with long-ranged interactions. Eur. Phys. J. E 37, 2 (2014). https://doi.org/10.1140/epje/i2014-14002-9

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  • DOI: https://doi.org/10.1140/epje/i2014-14002-9

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