Thermistor is fabricated using thermotropic ferroelectric liquid crystalline material. The design, performance, and characteristics of this fabricated liquid crystal (LC) device are demonstrated in this article. As a representative case, the characteristics of two ferroelectric LCs (FLCs), which exhibit positive and negative temperature coefficients of resistance, are detailed. An ambient temperature ferroelectric mesogen (S)-1-[4'-(octyloxy carbonyl) phenyl]-4-[2-chloro-(4-benzamido acetyl) phenyl propionato]-Benzoate yielded negative temperature coefficient thermistor, while dextro tartaric acid with p-n decyloxy benzoic acid ferroelectric mesogen was used as a positive temperature coefficient (PTC) thermistor. This endeavor was not reported in the literature, where thermotropic mesogens are being used for thermistor [PTC and negative temperature coefficient (NTC)] application. This thermistor possesses a wide temperature range (~69° C) with a resolution of 0.05 μAV⁻¹ and accuracy of ±0.1 °C which is more competent than its conventional counterpart. Furthermore, the heat capacity of the LC-based thermistor device is 0.2 Jg⁻¹ K⁻¹ for PTC and 0.4 Jg⁻¹ K⁻¹ for NTC.

This manuscript mainly focused on the nonlocal controllability of Hilfer fractional stochastic differential equations via almost sectorial operators. The key ideas of the study are illustrated by using ideas from fractional calculus, the fixed point technique, and measures of noncompactness. Then, the authors establish new criteria for the mild existence of solutions and derive fundamental characteristics of the nonlocal controllability of a system. In addition, researchers offer theoretical and real-world examples to demonstrate the effectiveness and suitability of our suggested solutions.

Two novel series of complimentary hydrogen bonded ferroelectric liquid crystals (HBFLC) comprising of 14 mesogens are synthesised by mixing (R)-(+)-2-(Benzyloxy) propionic acid (BPA) with various alkyloxy/alkyl benzoic acids. First series yielded eight HBFLC mesogens namely (R)-(+)-2-(Benzyloxy) propionic acid mixing with various benzoic acids viz., pentyloxy benzoic acid (BPA + 5BAO), hexyloxy benzoic acid (BPA + 6BAO), heptyloxy benzoic acid (BPA + 7BAO), octyloxy benzoic acid (BPA + 8BAO), nonyloxy benzoic acid (BPA + 9BAO), decyloxy benzoic acid (BPA + 10BAO), undecyloxy benzoic acid (BPA + 11BAO) and dodecyloxy benzoic acid (BPA + 12BAO) respectively. The second series yielded six HBFLC mesogens namely (R)-(+)-2-(Benzyloxy)propionic acid mixing with various benzoic acids viz., propyl benzoic acid (BPA + 3BA), butyl benzoic acid (BPA + 4BA), pentyl benzoic acid (BPA + 5BA), hexyl benzoic acid (BPA + 6BA), heptyl benzoic acid (BPA + 7BA) and octyl benzoic acid (BPA + 8BA) respectively. The molecular structure of entire 14 mesogens is represented by ball and stick model. Phase identification is made by textural studies of various phases through Polarizing Optical Microscopy (POM), enthalpy values and phase transition temperatures are elucidated from Differential Scanning Calorimetry (DSC) studies. The homologues of the first series BPA + nBAO exhibited smectic B*and smectic G* phases while only smectic G* phase is observed in BPA + nBA. Formation of hydrogen bond in the synthesised mesogens is confirmed by FTIR spectra. Phase diagrams for both the series are constructed from POM and DSC studies. Dielectric relaxation studies in smectic B* and smectic G* phases are performed on selected mesogens.