Intermediate periodic “saddle-splay” nematic phase in the vicinity of a nematic–smectic-A transition

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 66, Issue 5, 2002, Pages 10-

  Barbero, G ^a   Pergamenshchik, V M ^b  

^a POLITECNICO DI TORINO   (Italy)

^b INSTITUTE OF PHYSICS   (Ukraine)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIATION (CALCULUS); ELASTICITY; EXTRAPOLATION; FREE ENERGY; GROUND STATE; MATHEMATICAL OPERATORS; PHASE TRANSITIONS; SMECTIC LIQUID CRYSTALS; SURFACE STRUCTURE; THERMAL EFFECTS;

DEFORMATION ENERGY; DISTORTION; ELASTIC CONSTANTS; NEMATIC PHASE;

NEMATIC LIQUID CRYSTALS;

ARTICLE;

EID: 41349110617     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.66.051706     Document Type: Article

References (22)

1. J.L. Ericksen, Phys. Fluids 9, 1205 (1966).
2. V.M. Pergamenshchik, Phys. Rev. E 61, 3936 (2000).
3. G. Barbero, N.V. Madhusudana, and C. Oldano, J. Phys. (Paris) 50, 2263 (1989).
4. O.D. Lavrentovich and V.M. Pergamenshchik, Phys. Rev. Lett. 73, 979 (1994).
5. O.D. Lavrentovich and V.M. Pergamenshchik, Int. J. Mod. Phys. B 12, 2389 (1995).
6. In this concern it is interesting to note that a wide accepted setting (Formula presented) automatically puts nematic phase to the stability edge as then the inequalities (2) and (3) are broken and replaced by the equalities (Formula presented) and (Formula presented)
7. S. Faetti and M. Riccardi, J. Phys. II 5, 1165 (1995).
8. V.M. Pergamenshchik and S. Žumer, Phys. Rev. E 59, R2531 (1999).
9. This formula incorporates spatial boundedness of a nematic body. In the formula, originally derived by Nehring and Saupe in Ref. 10, the spatial boundedness was disregarded which resulted in replacing (Formula presented) with the so-called bare constant (Formula presented) (Formula presented) In the case of our interest both formulas give the same value of (Formula presented) as (Formula presented)
10. J. Nehring and A. Saupe, J. Chem. Phys. 54, 337 (1971).
11. P.G. de Gennes and J. Prost, The Physics of Liquid Crystals (Oxford University Press, Oxford, 1993).
12. L. Cheung, R.B. Meyer, and H. Gruler, Phys. Rev. Lett. 31, 349 (1973).
13. G. Barbero and C. Oldano, Nuovo Cimento D 6, 479 (1985).
14. V.M. Pergamenshchik, Phys. Rev. E 48, 1254 (1993).
15. V.M. Pergamenshchik, Phys. Lett. A 243, 167 (1998);
16. V.M. PergamenshchikPhys. Rev. E 58, R16 (1998).
17. I. Dozov et al., in the European Conference on Liquid Crystals, Hersonissos, Greece, edited by D.P. Photinos (University of Patras, Patras, 1999).
18. V.M. Pergamenshchik, Phys. Rev. E 47, 1881 (1993).
19. G.P. Crawford and S. Žumer, Int. J. Mod. Phys. B 12, 2469 (1995).
20. V.M. Pergamenshchik, P.I.C. Teixeira, and T.J. Sluckin, Phys. Rev. E 48, 1265 (1993);
21. V.M. Pergamenshchik, Ukr. Fiz. Zh. 38, 59 (1993) (in Russian).
22. Calculations of the total fourth-order term in Refs. 172 show that its restricting solely to (Formula presented) results in slightly underestimated amplitudes.