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Volumn 61, Issue 5, 2000, Pages 5361-5371

Pseudo-Casimir effect in nematic liquid crystals in frustrating geometries

Author keywords

[No Author keywords available]

Indexed keywords

ALIGNED FILMS; CASIMIR EFFECTS; DIRECTOR STRUCTURE; EXTERNAL FIELDS; FLUCTUATION-INDUCED INTERACTIONS; NEMATIC SYSTEMS; STRUCTURAL FORCES; STRUCTURAL TRANSITIONS;

EID: 0001591779     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.61.5361     Document Type: Article
Times cited : (45)

References (40)
  • 12
    • 0003460295 scopus 로고    scopus 로고
    • G. P. Crawford, S. Žumer, Taylor & Francis, London
    • Liquid Crystals in Complex Geometries, edited by G. P. Crawford and S. Žumer (Taylor & Francis, London, 1996).
    • (1996) Liquid Crystals in Complex Geometries
  • 14
    • 0000781195 scopus 로고    scopus 로고
    • and references therein
    • O. D. Lavrentovich, Liq. Cryst. 24, 117 (1998), and references therein.
    • (1998) Liq. Cryst. , vol.24 , pp. 117
    • Lavrentovich, O.D.1
  • 16
    • 0001583455 scopus 로고
    • The frustration caused by the mismatch of the easy axes across the surface of the cavity or any other external forces is external and should not be mistaken for intrinsic frustration, which pertains to the intermolecular interaction and is also present in some liquid-crystalline systems [see, e.g., E. Fontes, P. A. Heiney, and W. H. de Jeu, Phys. Rev. Lett. 61, 1202 (1988)].
    • (1988) Phys. Rev. Lett. , vol.61 , pp. 1202
    • Fontes, E.1    Heiney, P.A.2    de Jeu, W.H.3
  • 23
    • 11544322292 scopus 로고
    • The transition from uniform to distorted structure is direct only within the director description of nematic order. In the Landau–de Gennes theory, the two structures are separated by the biaxial structure characterized by uniform director field and nonuniform profiles of the degrees of order and biaxiality—the so-called eigenvalue exchange configuration [P. Palffy-Muhoray, E. C. Gartland, and J. R. Kelly, Liq. Cryst. 16, 713 (1994)
    • (1994) Liq. Cryst. , vol.16 , pp. 713
    • Palffy-Muhoray, P.1    Gartland, E.C.2    Kelly, J.R.3
  • 24
    • 0000687559 scopus 로고    scopus 로고
    • However, deep in the nematic phase the biaxial structure is stable in a very narrow range of thicknesses so that it can be neglected without compromising the basic physics of the hybrid cell
    • A. Šarlah and S. Žumer, Phys. Rev. E 60, 1821 (1999)]. However, deep in the nematic phase the biaxial structure is stable in a very narrow range of thicknesses so that it can be neglected without compromising the basic physics of the hybrid cell.
    • (1999) Phys. Rev. E , vol.60 , pp. 1821
    • Šarlah, A.1    Žumer, S.2
  • 27
    • 85036149188 scopus 로고    scopus 로고
    • Note that (Formula presented) does not exist for arbitrary values of d, (Formula presented) and (Formula presented) because (Formula presented) (the inverse square of (Formula presented) can be negative at small (Formula presented)’s. Up to second order in q, this expression is given by (Formula presented) which becomes negative for (Formula presented)’s larger than (Formula presented) The partition function of fluctuations is undefined beyond the structural transition—which is continuous
    • Note that (Formula presented) does not exist for arbitrary values of d, (Formula presented) and (Formula presented) because (Formula presented) (the inverse square of (Formula presented) can be negative at small (Formula presented)’s. Up to second order in q, this expression is given by (Formula presented) which becomes negative for (Formula presented)’s larger than (Formula presented) The partition function of fluctuations is undefined beyond the structural transition—which is continuous.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.