2012
DOI: 10.1103/physreve.85.021701
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Molecular theory of the tilting transition in smectic liquid crystals with weak layer contraction and diffused cone orientational distribution

Abstract: A molecular field theory of the smectic-A-smectic-C transition has been developed for smectics with a diffused cone orientational distribution of molecules (volcano-like distribution function) in the smectic-A phase and anomalously weak layer contraction in the smectic-C phase. Orientational order parameters and smectic layer spacing have been calculated numerically as functions of temperature and compared with the results obtained using a model with a standard Maier-Saupe-type distribution function that has b… Show more

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Cited by 18 publications
(24 citation statements)
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“…The secondorder nature of the N TB ↔ N U transition can be recognized from temperature variations of conical angle and pitch, where the first goes continuously to zero while the latter diverges at the transition point. We also calculate mean values of uniaxial ( q k 0 ) and biaxial ( q k 2 ) order parameters with respect to the optical axis (k = k/k) reference frame: The following averages need to be determined: In the homogeneous N U phase we expect q k 0 = q 0 , which should hold for any non-tilted phase [46][47][48] . The same relation is fulfilled by the mean value of biaxial order parameters q 2 and q k 2 in the N B phase.…”
Section: Resultsmentioning
confidence: 99%
“…The secondorder nature of the N TB ↔ N U transition can be recognized from temperature variations of conical angle and pitch, where the first goes continuously to zero while the latter diverges at the transition point. We also calculate mean values of uniaxial ( q k 0 ) and biaxial ( q k 2 ) order parameters with respect to the optical axis (k = k/k) reference frame: The following averages need to be determined: In the homogeneous N U phase we expect q k 0 = q 0 , which should hold for any non-tilted phase [46][47][48] . The same relation is fulfilled by the mean value of biaxial order parameters q 2 and q k 2 in the N B phase.…”
Section: Resultsmentioning
confidence: 99%
“…[4] The peculiarity of de Vries liquid crystals is the substantial constant layer spacing within the smectic SmA and SmC* phases (no layer shrinkage, as shown in Scheme 1). [4][5][6][7][8][9][10][11][12][13][14][15][16][17] In addition to a modest layer shrinkage (less than 5 %) [4] at the SmA-SmC* transition, the de Vries SmA phases have a very large electro-clinic effect, [18] which is related to the presence of a significant tilt of constituent molecules. [4] For this reason, the investigation of the molecular conformation in de Vries liquid crystals as well as the perturbation in the molecular organization under the influence of external fields are at the centre of interest of both industry and academy involving many research teams.…”
Section: Introductionmentioning
confidence: 99%
“…It is well known, however, that many bent-core liquid crystals exhibit also a sequence of tilted ferro-and ferri-electric phases. These tilted phase can be described using the same general method which has been used in the molecular theory of de Vries like smectics C [26,29,30]. The corresponding theory will be presented in our future publication.…”
Section: Discussionmentioning
confidence: 99%
“…(12), can now be expanded in powers of l/r ij keeping the first nontrivial terms. In the mean-field approximation the pair interaction potential can be integrated over all intermolecular vectors r ij within one smectic layer [2,26] taking into account the steric cutoff at r ij = σ. To facilitate numerical calculations we also use the approximation of perfect orientational order of long molecular axes i.e.…”
Section: Molecular Model Of Bent-core Moleculesmentioning
confidence: 99%
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