Author
Abstract
After a short review of nematic liquid crystals and their interactions with the external fields, we investigate the effect of a disordered field which destabilizes the orientational molecular order of a nematic film. We analyze the effect of the disorder in the applied field on the pseudo-Casimir force which is induced due to thermal fluctuationsbetween the confining walls of the nematic film. It is shown that an annealed disorder gives rise to a characteristic way, leading to the enhancement of the strength of the interaction. This, in turn, has some impacts on the fluctuation-induced force studied here
Keywords
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17. P. Ziherl , F K P Haddadan , R. Podgornik and S. Žumer, Phys. Rev. E 61 (2000) 5361
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19. R Basu and G S Iannacchione Phys. Rev. E 81 (2010) 051705.
20. M D Lynch and D L Patrick Nano Lett. 2 (2010) 1197.
21. V Popa-Nita and S Kralj, J. Chem. Phys. 132 (2010) 024902.
22. R Basu, Appl. Phys. Lett. 103 (2013) 241906.
23. H Stark, Physics Reports 351 (2001) 387.
24. M Hashemi and M R Ejtehadi Phys. Rev. E 91 (2015) 012503.
25. F Karimi Pour Haddadan, J. Phys. Condens. Matter 28 (2016) 405101.
26. L Petridis and E M Terentjev Phys. Rev. E 74 (2006) 051707.
27. A Naji, D S Dean, J Sarabadani , R Horgan, and R Podgornik, Phys. Rev. Lett. 104 (2010) 060601.
28. J Sarabadani, A Naji , D S Dean, R R Horgan, and R Podgornik, J. Chem. Phys. 133 (2010) 174702.
29. P M Chaikin and T C Lubensky Principles of Condensed Matter Physics Cambridge: Cambridge University Press (1995).
30. H Kleinert, “Path Integrals in Quantum Mechanics, Statistics, and Polymer Physics” World Scientific, Singapore (1995).
31. F Karimi Pour Haddadan, N Shirzadiani, A Naji and R Podgornik J. Phys. Condens. Matter 26 (2014) 505101.
32. A M Gupta and S F Edwards J. Chem. Phys. 98 (1993) 1588.
33. F Karimi Pour Haddadan, A Naji, A Khame Seifi and R. Podgornik J. Phys. Condens. Matter 26 (2014) 075103.
34. F Karimi Pour Haddadan J. Phys. Condens. Matter 29 (2017) 065101.
2. A Rapini and M Papoular, J. Phys. Colloq. 30 C 4- (1969) 54.
3. A Ajdari, L Peliti, and J Prost, Phys. Rev. Lett. 66 (1991) 1481.
4. A Ajdari, B Duplantier, D Hone, L Peliti, and J Prost, J. Phys. II 2 (1992) 487.
5. H Li and M Kardar, Phys. Rev. Lett. 67 (1991) 3275.
6. H Li and M Kardar, Phys. Rev. A 46 (1992) 6490.
7. H B G Casimir, Proc. K Ned Akad Wet. 51 (1948) 793.
8. H B G Casimir and D Polder, Phys. Rev. 73 (1948) 360.
9. V M Mostepanenko and N N Trunov, “The Casimir Effect and its Applications”, Oxford: Oxford University Press (1997).
10. M Bordag, G L Klimchitskaya, U Mohideen and V M Mostepanenko, “Advances in the Casimir Effect” Oxford: Oxford University Press (2009).
11. Y Koohsarian and A Shirzad, Iranian Journal of Physics Research 16 3 (2016) 107.
12. M J Sparnaay, Physica 24 (1958) 751 .
13. S Lamoreaux, Rep. Prog. Phys. 68 (2005) 201.
14. S Lamoreaux, Am. J. Phys. 67 (1999) 850.
15. A Ashourvan, M Miri and R Golestanian, J. Phys. Conf. Ser. 89 (2007) 012017 .
16. A Moradian, M R Setare, and S A Seyedzahedi, Iranian Journal of Physics Research 17 4 (2017) 553.
17. P. Ziherl , F K P Haddadan , R. Podgornik and S. Žumer, Phys. Rev. E 61 (2000) 5361
18. P Ziherl, R Podgornik, and S Žumer, Phys. Rev. Lett. 82 (1998) 1189.
19. R Basu and G S Iannacchione Phys. Rev. E 81 (2010) 051705.
20. M D Lynch and D L Patrick Nano Lett. 2 (2010) 1197.
21. V Popa-Nita and S Kralj, J. Chem. Phys. 132 (2010) 024902.
22. R Basu, Appl. Phys. Lett. 103 (2013) 241906.
23. H Stark, Physics Reports 351 (2001) 387.
24. M Hashemi and M R Ejtehadi Phys. Rev. E 91 (2015) 012503.
25. F Karimi Pour Haddadan, J. Phys. Condens. Matter 28 (2016) 405101.
26. L Petridis and E M Terentjev Phys. Rev. E 74 (2006) 051707.
27. A Naji, D S Dean, J Sarabadani , R Horgan, and R Podgornik, Phys. Rev. Lett. 104 (2010) 060601.
28. J Sarabadani, A Naji , D S Dean, R R Horgan, and R Podgornik, J. Chem. Phys. 133 (2010) 174702.
29. P M Chaikin and T C Lubensky Principles of Condensed Matter Physics Cambridge: Cambridge University Press (1995).
30. H Kleinert, “Path Integrals in Quantum Mechanics, Statistics, and Polymer Physics” World Scientific, Singapore (1995).
31. F Karimi Pour Haddadan, N Shirzadiani, A Naji and R Podgornik J. Phys. Condens. Matter 26 (2014) 505101.
32. A M Gupta and S F Edwards J. Chem. Phys. 98 (1993) 1588.
33. F Karimi Pour Haddadan, A Naji, A Khame Seifi and R. Podgornik J. Phys. Condens. Matter 26 (2014) 075103.
34. F Karimi Pour Haddadan J. Phys. Condens. Matter 29 (2017) 065101.
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