In this paper we consider the Ising model with spin values in Φ = {−1, 1}, the relevant Hamiltonian with competing binary nearest-neighbor, prolonged ternary and prolonged next-nearest neighbors interactions has the form H(σ) = −Jp �� >x,y< σ(x)σ(y) − Jt >x�,¯y,z< σ(x)σ(y)σ(z)− J1 � <x,y>σ(x)σ(y), w

For Potts model on a Cayley tree we produce recursive relations that provide us the numerically exact phase diagram of the 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 be either continuous

We study the phase diagram for Potts model on a Cayley tree of arbitrary order k with competing nearest-neighbor interactions J1, prolonged next-nearest-neighbor interactions Jp and one level k-tuple neighbors interaction J0. To perform this study, an iterative scheme similar to that appearing in real space renormalization group frameworks is estab

In this article we study the phase transition phenomenon for the Ising and Potts models under the action of a non-uniform external magnetic field hx, x V, where V is the set of vertices of the Cayley tree. We show that both models on the Cayley tree with –J < inf {hx: x V} < sup{ hx: x V} < J, have a first-order phase transitionPhase

Lattice models are caricatures invented to illuminate various aspects of elementary statistical mechanics, especially the phenomena of phase transitions and spon- taneously broken symmetry. This paper is an attempt to present the basic ideas of the subject and its application to a wider audience.Lattice Models of Statistical Mechanics and their App

Quadratic stochastic operators frequently arise in many models of mathematical genetics. We propose a constructive description of quadratic stochastic operators that allows a natural introduction of thermodynamics in studying some models of heredity. This construction allows one to elicidate the role of the absolute temperature in the analysis of q

It is well known that the Qur’an has many miraculous attributes proving that it is revelation from God. In this paper we consider one of them, namely, the miracle in the Iron. One of the main and very useful property of the Iron is to be magnet. In 1925 Ising wrote his doctoral thesis on a model now called the Ising model. He tried to explain, us

Although motorbikes are used widely in Malaysia, there are no published studies concerning the Malaysian user satisfaction of the current designs available and also their feedback on the ergonomics of the current designs. In this study, a survey has been done covering both styling and ergonomic aspects of the Malaysian users. The data was obtained

A low-power quaternary comparator circuit using current-mode CMOS multiple-valued logic (MVL) circuits has been presented in this paper. Existing MVL comparator circuits consume high power. The circuit presented in this paper has been shown low power digital output. It has been simulated with PSPICE using the transistor model parameter values of th

In this paper, a low-power quaternary comparator circuit using current-mode CMOS multiple-valued logic (MVL) circuits has been presented. Existing MVL comparator circuits consume high power. The circuit presented in this paper low power. It has been simulated with PSPICE using the transistor model parameter values of the BSIM3 NMOS model V3.2 for 0