This project was undertaken to study about rubber toughened polyropylene-kenaf fiber composite. The composite of TPEs reinforced with kenaf fiber was prepared via melt blending method using Thermo Haake 600p internal mixer. TPEs that were used consist of blend of polypropylene (PP) and synthetic rubber (EPDM) AT 50PP/50EPDM ratio. The fiber content

This study explores customers' shopping experience through shopping centre branding.

We study the phase diagram for Potts model on a Cayley tree with competing nearest-neighbor interactions J1, prolonged next-nearest-neighbor interactions Jp and one-level next-nearest-neighbor interactions Jo. Vannimenus proved that the phase diagram of Ising model with Jo=0 contains a modulated phase, as found for similar models on periodic lattic

In the paper we consider an Ising model with four competing interactions (external field, nearest neighbor, second neighbors and triples of neighbors) on the Cayley tree of order two.We show that for some parameter values of the model there is a phase transition. Our second result gives complete description of the periodic Gibbs measures for the mo

In the paper, the one-dimensional model with nearest-neighbor interactions In, n ∈ Z, and the s pin values ±1 is considered. It is known that, under some conditions on parameters of In, a phase transition occurs for this model. We define the notion of a phase separation point between two phases. We prove that the expectation value of this point

The physical phenomenon of phase transition is reflected in mathematical model by non-uniqueness of the Gibbs measures and phase diagram of the model describes a morphology of phases, stability of phases, different transitions from one phase to another and corresponding transition lines. We study the phase diagram for the Potts model on a Cayley tr

We study the phase diagram for the Potts Model on a Cayley tree with competing nearest‐neighbor interaction J1 and next‐nearest‐neighbor interactions J2 and J3. To perform this study, an iterative scheme similar to that appearing in real space renormalization group frameworks is established. The phase diagram contains a modulated phase, as fo

We study the asymptotic behavior of nonlinear dynamical system,that has biological significance.Then otion of regular direct product of two quadratic stochastic operators is introduced.JOURNAL OF APFLTED FUNCTIONAL ANALYSIS,VOL.4,NO.3,430-433,COPYRIGHT 2OO9 EUDOXUS PRESS,LLC Ergodicity of nonlinear transformations l{. N. Ganikhodjaev l Kulliyyah of

Abstract. We study the phase diagram for the Potts Model on a Cayley tree with competing nearest-neighbor interaction J_1 and next-nearest-neighbor interactions J_2 and J_3. To perform this study, an iterative scheme similar to that appearing in real space renormalizatiort group frameworks is established.The phase digram contains a modulated phase

Statistical mechanics seeks to explain the macroscopic behavior of matter on the basis of its microscopic structure. This includes the analysis of simplified mathematical models. A phase diagram of a model describes a morphology of phases, stability of phases, transitions from ne phase to another and corresponding transitions line. A Potts model ju