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Temperature dependence of the polarization and tilt angle under an electric field close to the smectic AC* phase transition in a ferroelectric liquid crystal

The temperature dependence of the polarization P and the tilt angle theta is calculated here in the presence of a constant electric field near the smectic AC* phase transition of a ferroelectric liquid crystal using a mean field model. We demonstrate here the temperature dependence of P and theta under some fixed electric fields for the ferroelectric liquid crystal of 4-(3-methyl-2-chlorobutanoyloxy)-4'-heptyloxybiphenyl. Our predicted values of P and theta at various temperatures under fixed electric fields, follow similar critical behaviour as predicted for zero electric field from the mean field model near the smectic AC* phase transition in 4-(3-methyl-2-chlorobutanoyloxy)-4'-heptyloxybiphenyl.