Efforts on the fundamentals of the nonextensive thermostatistical formulations of the realistic description of the physical systems have always been underway. In this context, the quantum systems of bosons and fermions are taken into consideration as g-ons. A new formalism of the unified...

In the literature, the deviations from standard behaviors of the solutions of the kinetic equation and the analogous diffusion equation are put forward by investigations which are carried out in the frame of fractional mathematics and nonextensive physics. On the other hand, the physical origins...

In this study, the particles of the quantum gases, namely bosons and fermions are called g-ons by using the parameter of the fractional exclusion statistics g, where <InlineEquation ID="Equ1"> <EquationSource Format="TEX">$0\leq g\leq 1$</EquationSource> </InlineEquation>. With this point of departure, the distribution function of the g-on gas is obtained by the variational,...</equationsource></inlineequation>

In this study, the dependence of fourth-rank order parameter on second-rank order parameter for para-azoxyanisole is investigated by using Tsallis statistics. Also, orientational distribution function is studied within Tsallis thermostatistics using the maximum entropy method, and the...

In this study, we aim to investigate ant traffic in the uni-directional ant trail. We consider two types of ants moving in the trail: one of which smells well and the other does not. The theoretical base of the study is similar to that of the Nagel–Schreckenberg (NaSch) model, but we do not...

In this study, thermoluminescence decay is investigated within Tsallis thermostatistics (TT). We believe that this is the first attempt to handle the thermoluminescence decay process within TT. The generalized form of glow intensity vs temperature is examined and the effect of the...

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...

Several methods have been developed in the analysis of the thermoluminescence glow peaks, and in particular when applied to thermoluminescence (TL) dosimetry and TL dating of archaeological and geological minerals. Some of these methods are identical to those developed for the study of thermal...