Symmetry

Blinov, L. M.

doi:10.1007/978-90-481-8829-1_2

Cited by 23 publications

(31 citation statements)

References 2 publications

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“…In fact, due to the symmetries of the confined system (the lowest-symmetry phase of which is the biaxial phase, with a distribution function f i (ω) which is an even function of the angle ϕ), the coefficients f (3) i and f (5) i are zero, and consequently only three order parameters, f (1) i , f (2) i and f (4) i , are relevant. Using Eqn.…”

Section: Theorymentioning

confidence: 99%

“…Cholesteric phases of liquid crystal materials are important from fundamental and technological points of view [1,2], and a lot of effort is still being expended in their study. Interest in cholesterics stems from the existence of a direction, perpendicular to the nematic director, about which the latter winds up with a specific periodic length, the pitch, causing the material to be optically active at optical wavelengths.…”

Section: Introductionmentioning

confidence: 99%

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Capillary and winding transitions in a confined cholesteric liquid crystal

2015

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We consider a Lebwohl-Lasher model of chiral particles confined in a planar cell (slit pore) with different boundary conditions, and solve it using mean-field theory. The phase behaviour of the system with respect to temperature and pore width is studied. Two phenomena are observed: (i) an isotropic-cholesteric transition which exhibits an oscillatory structure with respect to pore width, and (ii) an infinite set of winding transitions caused by commensuration effects between cholesteric pitch and pore width. The latter transitions have been predicted and analysed by other authors for cholesterics confined in a fixed pore and subject to an external field promoting the uniaxial nematic phase; here we induce winding transitions solely from geometry by changing the pore width at zero external field (a setup recently explored in Atomic-Force Microscopy experiments). In contrast with previous studies, we obtain the phase diagram in the temperature vs pore width plane, including the isotropic-cholesteric transition, the winding transitions and their complex relationship. In particular, the structure of winding transitions terminates at the capillary isotropic-cholesteric transition via triple points where the confined isotropic phase coexists with two cholesterics with different helix indices. For symmetric and asymmetric monostable plate anchorings the phase diagram are qualitatively similar.

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Section: Theorymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Capillary and winding transitions in a confined cholesteric liquid crystal

2015

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“…It has been known for more than a century 1 that this process may occur in a number of steps where the degree of order gradually increases. Thus on cooling, an isotropic molecular liquid may form a nematic liquid-crystal (LC) phase in which the molecules have a degree of orientational ordering 2 . On further cooling, smectic LC phases may form that have partial translational order as well.…”

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confidence: 99%

Frustration of crystallisation by a liquid–crystal phase

Syme

Mosses

González‐Jiménez

et al. 2017

Sci Rep

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Frustration of crystallisation by locally favoured structures is critically important in linking the phenomena of supercooling, glass formation, and liquid-liquid transitions. Here we show that the putative liquid-liquid transition in n-butanol is in fact caused by geometric frustration associated with an isotropic to rippled lamellar liquid-crystal transition. Liquid-crystal phases are generally regarded as being “in between” the liquid and the crystalline state. In contrast, the liquid-crystal phase in supercooled n-butanol is found to inhibit transformation to the crystal. The observed frustrated phase is a template for similar ordering in other liquids and likely to play an important role in supercooling and liquid-liquid transitions in many other molecular liquids.

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“…Recent theoretical studies have shown that those disordered structures form a nematic phase or a partially ordered liquid phase [8,9]. Without external perturbations, such a nematic phase belongs to the D ∞h point-group and does not show polarity [12,13]. However, under external perturbations, the D ∞h symmetry is broken and a polar order will emerge in this "modified" nematic phase that can be regarded as an exotic nematic phase [13], in which its point-group symmetry becomes C ∞v .…”

Section: Resultsmentioning

confidence: 99%

Experimental evidence that electrical fatigue failure obeys a generalized Coffin–Manson law

2017

Physics Letters A

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The empirical Coffin-Manson law has been used to characterize the low-cycle mechanical fatigue failure of metallic materials for decades. Our experimental studies reported in this letter have shown that the electrical fatigue failure in dielectrics can be well described by a fitting function having the same mathematical expression as that of the Coffin-Manson law. This observation indicates that the physical mechanism beneath the formation and evolution of atomic disordered structures, the key factor influencing both mechanical and electrical fatigue, might be the same.

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Symmetry

Cited by 23 publications

References 2 publications

Capillary and winding transitions in a confined cholesteric liquid crystal

Capillary and winding transitions in a confined cholesteric liquid crystal

Frustration of crystallisation by a liquid–crystal phase

Experimental evidence that electrical fatigue failure obeys a generalized Coffin–Manson law

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