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A high-resolution calorimetric study has been carried out on nano-colloidaldispersions of aerosils in the liquid crystal4-\textit{n}-pentylphenylthiol-4'-\textit{n}-octyloxybenzoate ($\bar{8}$S5) asa function of aerosil concentration and temperature spanning thesmectic-\textit{C} to nematic phases. Over this temperature range, this liquidcrystal possesses two continuous XY phase transitions: a fluctuation dominatednematic to smectic-\textit{A} transition with $\alpha \approx \alpha_{XY} =-0.013$ and a mean-field smectic-\textit{A} to smectic-\textit{C} transition.The effective critical character of the \textit{N}-Sm\textit{A} transitionremains unchanged over the entire range of introduced quenched random disorderwhile the peak height and enthalpy can be well described by considering acut-off length scale to the quasi-critical fluctuations. The robust nature ofthe \textit{N}-Sm\textit{A} transition in this system contrasts withcyanobiphenyl-aerosil systems and may be due to the mesogens being non-polarand having a long nematic range. The character of the Sm\textit{A}-Sm\textit{C}transition changes gradually with increasing disorder but remainsmean-field-like. The heat capacity maximum at the Sm\textit{A}-Sm\textit{C}transition scales as $\rho_S^{-0.5}$ with an apparent evolution fromtricritical to a simple mean-field step behavior. These results may begenerally understood as a stiffening of the liquid crystal (both the nematicelasticity as well as the smectic layer compression modulus $B$) with silicadensity.Comment: Accepted by Physical Review

physical review. e, statistical, nonlinear and soft matter physics

Calorimetric study of the nematic to smectic-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>A</mml:mi></mml:math>and smectic-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>A</mml:mi></mml:math>to smectic-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>C</mml:mi></mml:math>phase transitions in liquid-crystal–aerosil dispersions

Calorimetric study of the nematic to smectic-Aand smectic-Ato smectic-Cphase transitions in liquid-crystal–aerosil dispersions