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

From three-state Potts model we produce the recursion relations that provide us numerically exact phase diagrams of the Potts model. Each phase is characterized by a particular attractor and the phase diagram is obtained by following the evolution and detecting the qualitative changements of these attractors. These changements can either be continu

We consider linear and nonlinear stochastic models for transmission of blood types and Rhesus factor from parents to their offspring and investigate long run behavior of these models. In this study we will consider an application of the theory of Markov chains and the theory of nonlinear transformations in medicine. It is well known that the gene w

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

The lattice models on a Cayley tree with competing interactions has recently been studied extensively because of the appearance of nontrivial magnetic orderings [1]. In the case of the Ising model on the Cayley tree of second order with competing binary nearestneighbour interactions J and binary prolonged second neighbour interactions Jp Vannimenus

This article attempts to highlight some recent developments and issues in the sukuk market, especially in the light of the AAOIFI Shari`ah pronouncement of February 2008. In general, the market tends to understand and expect sukuk to be within the “fixed income” types of investment with minimal or controlled risks and capital preservation featu

This article attempts to highlight some recent developments and issues in the sukuk market, especially in the light of the AAOIFI Shari`ah pronouncement of February 2008. In general, the market tends to understand and expect sukuk to be within the “fixed income” types of investment with minimal or controlled risks and capital preservation featu

The Western approaches towards the Prophethood of Mu╒ammad (peace be on him), from the early Middle Ages to the present time, have been critical and hostile. He was depicted as a demon or a Christian heretic or a madman. Those critics however changed their tone particularly with the downfall of the Ottoman Empire. This change of Western writers�

In the 21st century more than ever, technology is the driving engine behind civilisations. Technology level has become an indicator of advancement and living standard. No county whatsoever can lead and prosper without owning and developing technologies locally. The first step in the take off will be to transfer the available technologies. With the