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Volumn 80, Issue 1, 2009, Pages

De Vries behavior of the electroclinic effect in the smectic- A phase near a biaxiality-induced smectic- A -smectic- C tricritical point

Author keywords

[No Author keywords available]

Indexed keywords

BIAXIALITY; CHANGE IN BIREFRINGENCE; ELECTROCLINIC; ELECTROCLINIC EFFECT; FIRST ORDER; LANDAU THEORY; LAYER SPACINGS; ORDER PARAMETER; ORIENTATIONAL ORDERS; SMECTIC C; SMECTIC-A; TILT ANGLE; TRICRITICAL POINT; TRICRITICALITY; ZERO FIELDS;

EID: 68949091771     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.80.011703     Document Type: Article
Times cited : (22)

References (34)
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    • For an excellent review of de Vries materials, see 10.1002/cphc.200500472
    • For an excellent review of de Vries materials, see J. P. F. Lagerwall and F. Giesselmann, ChemPhysChem 7, 20 (2006). 10.1002/cphc.200500472
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    • Lagerwall, J.P.F.1    Giesselmann, F.2
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    • For experimental data showing the tilt response θ (E) and birefringence response Δn (E) in a system with a continuous Sm- A -Sm- C transition, see, for example, Ref..
    • For experimental data showing the tilt response θ (E) and birefringence response Δn (E) in a system with a continuous Sm- A -Sm- C transition, see, for example, Ref..
  • 10
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    • For experimental data showing the tilt response θ (E) and birefringence response Δn (E) in a system with a first-order Sm- A -Sm- C transition, see, for example, Ref..
    • For experimental data showing the tilt response θ (E) and birefringence response Δn (E) in a system with a first-order Sm- A -Sm- C transition, see, for example, Ref..
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    • It should be noted that here, and throughout this article, exponents are calculated within mean-field theory, and do not include the effects of fluctuations. For example, it is known that when fluctuation effects are included in analysis of the three-dimensional XY transition, θ scales like (1- T TC) β, with β 0.35, whereas in mean-field theory β=0.5. The use of mean-field theory is justified by the fact that virtually all continuous AC transitions are observed to be mean field like.
    • It should be noted that here, and throughout this article, exponents are calculated within mean-field theory, and do not include the effects of fluctuations. For example, it is known that when fluctuation effects are included in analysis of the three-dimensional XY transition, θ scales like (1- T TC) β, with β 0.35, whereas in mean-field theory β=0.5. The use of mean-field theory is justified by the fact that virtually all continuous AC transitions are observed to be mean field like.
  • 22
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    • We deviate slightly from the notation used in, dropping the subscript 0 on the b, g, h, and s coefficients. We also use rn and rs, instead of tn and ts, for the coefficients of M2 and |ψ| 2, respectively. This is done to avoid confusion with the reduced temperature t.
    • We deviate slightly from the notation used in, dropping the subscript 0 on the b, g, h, and s coefficients. We also use rn and rs, instead of tn and ts, for the coefficients of M2 and |ψ| 2, respectively. This is done to avoid confusion with the reduced temperature t.
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    • Of course, different materials will also have different values of κ. It is not clear how strongly these parameters will vary from material to material.
    • Of course, different materials will also have different values of κ. It is not clear how strongly these parameters will vary from material to material.
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  • 27
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    • In a separate analysis, which we do not present here, we have found that the layering order at the Iso-Sm- A transition is indeed larger in systems with smaller orientational order. However, we have also found that for a given decrease in orientational order, the increase in layering required at the Sm- A -Sm- C transition was larger than the increase in layering at the Iso-Sm- A transition. This would imply that a wider temperature window for the Sm- A phase will result as the orientational order is reduced.
    • In a separate analysis, which we do not present here, we have found that the layering order at the Iso-Sm- A transition is indeed larger in systems with smaller orientational order. However, we have also found that for a given decrease in orientational order, the increase in layering required at the Sm- A -Sm- C transition was larger than the increase in layering at the Iso-Sm- A transition. This would imply that a wider temperature window for the Sm- A phase will result as the orientational order is reduced.
  • 28
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    • Assuming P z ×c reflects the fact that the polarization P is a secondary order parameter, with the tilt c being the primary order parameter. However, the relationship between P and c may be more complicated than the linear one assumed here. See 10.1103/PhysRevA.34.5010;
    • Assuming P z ×c reflects the fact that the polarization P is a secondary order parameter, with the tilt c being the primary order parameter. However, the relationship between P and c may be more complicated than the linear one assumed here. See S. Dumrongrattana, C. C. Huang, G. Nounesis, S. C. Lien, and J. M. Viner, Phys. Rev. A 34, 5010 (1986) 10.1103/PhysRevA.34.5010
    • (1986) Phys. Rev. A , vol.34 , pp. 5010
    • Dumrongrattana, S.1    Huang, C.C.2    Nounesis, G.3    Lien, S.C.4    Viner, J.M.5
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    • T. Carlsson, B. Zeks, A. Levstik, C. Filipic, I. Levstik, and R. Blinc, Phys. Rev. A 36, 1484 (1987). With a view to making our analysis manageable, we avoid introducing another order parameter P and assume the simplest linear relationship. 10.1103/PhysRevA.36.1484
    • (1987) Phys. Rev. A , vol.36 , pp. 1484
    • Carlsson, T.1    Zeks, B.2    Levstik, A.3    Filipic, C.4    Levstik, I.5    Blinc, R.6
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    • It should be noted that in the Landau theory of, there was a coupling between tilt and polarization. This coupling leads to an innocuous renormalization of the continuous Sm- A -Sm- C transition temperature.
    • It should be noted that in the Landau theory of, there was a coupling between tilt and polarization. This coupling leads to an innocuous renormalization of the continuous Sm- A -Sm- C transition temperature.
  • 33
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    • Nature of Sm- A -Sm- C phase transitions in a series of ferroelectric liquid crystal with little smectic layer shrinkage. S. Bezner, M. Krueger, and F. Giesselmann, presented at the 32nd Arbeitstagung Fluussigkristalle, Halle, Germany
    • Nature of Sm- A -Sm- C phase transitions in a series of ferroelectric liquid crystal with little smectic layer shrinkage. S. Bezner, M. Krueger, and F. Giesselmann, presented at the 32nd Arbeitstagung Fluussigkristalle, Halle, Germany, 2004 (unpublished).
    • (2004)


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.