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• W2073511253 abstract "We have carried out a high-resolution x-ray study of the mass-density fluctuations and a light-scattering study of the bend-mode-director fluctuations associated with the nematic-smectic-$A$ phase transition in 4-cyano-4ensuremath{'}-octylbiphenyl (8CB). This phase transition is found to be nearly second order with a first-order temperature jump of less than 10 mK. The peak scattering intensity, $ensuremath{sigma}({stackrel{ensuremath{rightarrow}}{mathrm{q}}}_{0})$, with ${stackrel{ensuremath{rightarrow}}{mathrm{q}}}_{0}=(0, 0, frac{2ensuremath{pi}}{d})$, where $d$ is the layer spacing, and the longitudinal correlation length, ${ensuremath{xi}}_{ensuremath{parallel}}$, exhibit single power-law divergences for $5ifmmodetimeselsetexttimesfi{}{10}^{ensuremath{-}5}<|1ensuremath{-}frac{T}{{T}_{c}}|<2ifmmodetimeselsetexttimesfi{}{10}^{ensuremath{-}2}$ with critical exponents of $ensuremath{gamma}=1.26ifmmodepmelsetextpmfi{}0.06$ and ${ensuremath{nu}}_{ensuremath{parallel}}=0.67ifmmodepmelsetextpmfi{}0.02$, respectively. These exponents agree within the errors with the predicted $d=3$, $n=2$ values appropriate to de Gennes' superconductor analogue model. The ratio of the longitudinal to transverse correlation lengths, $frac{{ensuremath{xi}}_{ensuremath{parallel}}}{{ensuremath{xi}}_{ensuremath{perp}}}$, increases gradually with decreasing reduced temperature, changing by a factor of 2.6 over the above temperature range. This corresponds to an effective exponent difference $sqrt{ensuremath{parallel}}ensuremath{-}ensuremath{surd}mathit{ifmmodedaggerelsetextdaggerfi{}}=0.16$. The bend mode elastic constant ${K}_{3}$, which is predicted to have a divergent contribution ${(frac{{k}_{B}T{q}_{o}^{2}}{24ensuremath{pi}})}^{2}{ensuremath{xi}}_{ensuremath{parallel}}$, exhibits single power law behavior for ${10}^{ensuremath{-}4}ensuremath{le}1ensuremath{-}frac{T}{{T}_{c}}<{10}^{ensuremath{-}2}$, with ${ensuremath{nu}}_{ensuremath{parallel}}=0.62ifmmodepmelsetextpmfi{}0.03$ in reasonable agreement with the x-ray results. The predicted amplitude is, however, wrong by a factor of four. Measurements of $B$, the layer compressibility coefficient in the smectic-$A$ phase, yield $frac{B}{{K}_{1}}ensuremath{sim}{({T}_{c}ensuremath{-}T)}^{ensuremath{varphi}}$ with $ensuremath{varphi}=0.26ifmmodepmelsetextpmfi{}0.06$, in agreement with previous experiments in N-$p$-cyanobenzylidene-$p$-octyloxyanilene (CBOOA) and octyloxycyanobenzylidene (80CB), but in marked disagreement with the superconducting analogue model which predicts $ensuremath{varphi}={ensuremath{nu}}_{ensuremath{parallel}}^{1}=0.67$." @default.
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• W2073511253 date "1979-02-01" @default.
• W2073511253 modified "2023-09-27" @default.
• W2073511253 title "High-resolution x-ray and light-scattering study of critical behavior associated with the nematic—smectic-<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi>A</mml:mi></mml:math>transition in 4-cyano-4′-octylbiphenyl" @default.
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• W2073511253 doi "https://doi.org/10.1103/physrevb.19.1657" @default.
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