arXiv subjects
Publications and source records attributed to O. Kayacan.
In this study, thermoluminescence decay is investigated within Tsallis thermostatistics (TT). We belive that this is the first attempt to handle themoluminescence decay process within TT.
In this study, one of the mean-field theories in nematics, the Maier-Saupe theory (MST), is generalized within Tsallis Thermostatistics (TT). The variation of the order parameter versus temperature has been investigated and compared with experimental data for PAA (p-azoxyanisole). So far we believe that this is the first attempt of the application of TT in liquid crystals. It is well known that MST fails to explain the experimental data for some of the nematics, one of which is PAA. However generalized MST (GMST) is able to account for the experimental data for a long range of temperatures. Also in this study, the effect of nonextensivity is shown for various values of the entropic index.
Generalized Maier-Saupe theory (GMST) within Tsallis thermostatistics (TT) has been used to investigate the second rank order parameter in a nematic liquid crystal, N-p-methoxybenzylidene p-n-butylaniline (MBBA). Also, the free energy has been investigated at the nematic-isotropic phase transition temperature and the effect of the nonextensivity has been demonstrated.
The influence of the dimerization process on the nematic ordering is investigated by using a nonextensive thermostatistics, namely Tsallis thermostatistics(TT). A theoretical model taking into account the dimerization influence on the nematic scalar order parameter has been recently presented[1]. Our study considers this model and the theoretical predictions for the nematic order parameter are improved by using TT.