We study the phase diagram of the Ising model on the cayley tree with competing interactions up to the third nearest-neighbors with spins belonging to different branches of the tree. In addition to the expected ferromagnetic and paramagnetic phases, we present a new paramodulated phase. Morover, the transition lines are analyzed and they are in agr

In this paper, we construct the family of Gaussian non-linear transformations defined on the continual sample space of real numbers R and investigate their trajectory behaviors.On Gaussian nonlinear transformations Nasir Ganikhodjaev and Nur Zatul Akmar Hamzah Citation: AIP Conference Proceedings 1682, 040009 (2015); doi: 10.1063/1.4932482 View onl

In this paper we construct the family of Geometric quadratic stochastic operators defined on the countable sample space of nonnegative integers and investigate their trajectory behavior. Such operators can be reinterpreted in terms of of evolutionary operator of free population. We show that Geometric quadratic stochastic operators are regular tran

Let FX ),( be a measurable space, and FXS ),( be the set of all probability measures on FX ),( where X is a state space and F is V - algebraon X . We consider a nonlinear transformation (quadratic stochastic operator) defined by ³³ X X ( O)( OO ydxdAyxPAV )()(),,() , where AyxP ),,( is regarded as a function of two variables x and y with fixed �

When centrifugal dewatering in basket centrifuge involves the sedimentation of particles in feed slurry, the slurry separates into two phases: supernatant and cake. The dewatering proceeds as the supernatant permeates through the cake. However, if the cake formed has poor permeability, it takes longer time to reach the desired moisture content. In

Cellular automata are a new approach that has been rapidly used in many area of science. In this paper, we introduce a notion of periodic one-dimensional cellular automata. In addition, we calculate entropy of some periodic cellular automata of period-3 and present the simulation for some fractal type periodic cellular automata.Journal of Applied S

Children are trafficked in Nigeria for various purposes which include prostitution, begging, hawking, rituals, etc and this has been on the raise, thereby posing a great challenge to the Nigeria Government despite numerous efforts put in place to fight the menace. The feature of Nigerian children as young as 5 to 12 years is threatened by this mons

In this paper we consider the set of all extremal Volterra quadratic stochastic operators defined on a unit simplex S4 and show that such operators can be reinterpreted in terms of zero-sum games. We show that an extremal Volterra operator is non-ergodic and an appropriate zero-sum game is a rock-paper-scissors game if either the Volterra operator

Jatropha curcas Linn. capsule husk (DH-JcL) is a residu from the manufacture of Crude Jatropha Oil. Biorefinery as part of the “four R’s” was required in DH-JcL for anaerobic digestion feedstock. Analysis result and literature study was concluded that DH-JcL is a material that can be managed as biogas substrate, though the nutrient levels rel

In the present paper we study dominated operators acting on Banach{Kantorovich Lp -lattices, constructed by a measure m with values in the ring of all measurable functions. Using methods of measurable bundles of Banach{ Kantorovich lattices, we prove the strong \zero-two" law for positive contractions of Banach{Kantorovich Lp -lattices.Turk J M