In this study, a generalized method based upon nonextensive statistics is presented for nucleation and growth processes in a thin layer between two interfaces. It is shown that the presented mathematical model, which uses an index called the entropic index that measures the nonextensivity of the...

Some limitations of Johnson–Mehl–Avrami–Kolmogorov (JMAK) equation, which is used widely for describing kinetics of phase transformation, were demonstrated using probabilistic analysis and Monte Carlo simulations [Acta Mater. 48 (2000) 4217]. As well-known, JMAK equation predicts correctly...

In this study, we introduce a new nonlinear quantizer for image processing by using Tsallis entropy. Lloyd–Max quantizer is commonly used in minimizing the quantization errors. We report that the new introduced technique works better than Lloyd–Max one for selected standard images and could...

In this paper, the iterated conditional modes optimization method of a Markov random field technique for image segmentation is generalized based on Tsallis statistics. It is observed that, for some q entropic index values the new algorithm performs better segmentation than the classical one. The...

A generalized model taking into account the photoisomerization influence on the nematic ordering is presented. This generalized theory is used to investigate the effect of the nonextensivity on the concentration dependence of the long-range order parameter. The q-dependent variation of the...

The nematic–isotropic phase transition is investigated for a sample in the shape of a slab of thickness d, using a self-consistent model. The interacting potential is given by a sum of the direct interaction of a given nematic molecule with the substrate and of one with the other nematic...

In this work, electrical measurements were performed on a polymer-dispersed LC sample so that we could demonstrate the temperature dependent molecular behavior, determined according to the electrical response of the system. Experimental results are found to be in favorable accordance with the...

In this study, the nematic–isotropic phase transition is investigated for a sample in the shape of a slab of thickness d, using nonextensive formalism. The interaction potential is written as the sum of the direct interaction of a given nematic molecule with the substrate and of its incomplete...

A theoretical model of uni-directional ant traffic, motivated by the motion of ants in trail is proposed. Two different type of ants, one of which smells very well and the other does not, are considered. The flux of ants in this model is investigated as functions of the probability of...