African Journal of Mathematical Physics

AJMP Volume 7 Number 1 (2009)


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Research Papers

AJMP/0901 [ps, pdf] :

Title: Heat Transfer In A Two-Layered Blood Flow Model In A Narrow Tube
In Presence Of Magnetic Field
Author: D. C. Sanyal, K. Das and S. Debnath
Comments: 8 pages, 7 figures
Abstract:
Blood flow in a narrow tube is described using the two-layered model in presence of an
external uniform magnetic field. The model consists of a core region, enriched with various types of blood cells and a cell-free peripheral plasma layer. Also the constant heat flux convective heat transfer to fully developed blood flow is studied. The velocity and temperature profiles are determined. The expressions for friction-factor-Reynolds number product and Nusselt number are found and their natures are shown graphically.

Title: Generalized Symmetries and Some new Solution of the Fokker-Planck Equation
Author: A. Ouhadan, E.H. El Kinani, M. Rahmoune, A. Awane, A. Ammar and S. Essabab
Comments: 9 pages
Abstract:
In this paper, the third and fourth generalized symmetries of the Fokker-Planck equation are directly computed. We show how to get higher order generalized symmetries by using of the recursion operators, and we derive some exact solutions.

AJMP/0903 [ps, pdf] :

Title: MPZ : Minimum Propagation Zone for a Tridimensional Superconductor.
Author: M. El Khomssi, S. Saoud, M.Fikri
Comments: 12 pages
Abstract:
The implementation of a group of thermic stability criterion of a superconductor presents a certain interest. Within this framwork, many work are elaborated [2], [6], studying the unidimensional case. It aims , in fact , at controlling a critic energy which is associated to the solution of the intermediate equilibrium, called instable normal state. The intended energy presents a sort of threshold relative to thermic disturbances. In this paper , we will present:
• A generalization of this critic energy which present a good approximation of the
quantity of energy able to transit the superconductor to a normal state
• Some control estimations of this energy.
Title: Chaos Control in the Nonlinear Bloch Equations using Recursive Active Control
Author: U. E. Vincent, J. A. Laoye and R. K. Odunaike
Comments: 8 pages, 4 figures
Abstract:
The problem of chaos control in the nonlinear Bloch equations is considered based on a modified active control technique. In the proposed control scheme a recursive approach and active control mechanism are combined to design control functions that drive the nonliner Bloch equations to a steady state as well as track a desired trajectory in a systematic way. The effeciency of the proposed Recursive Active Control (RAC) is demonstrated with numerical simulations.

Title: Hamiltoniens classiques et géométrie k-symplectique
Author: A. Awane, A. Ammar, E. Azizi, S. Essabab, A. Ouhadan, E. H. El Kinani and M. Rahmoune
Comments: 9 pages
Abstract:
We put in obviously hamilonian maps of classical mecanics in the context of the polarized Poisson manifolds.

AJMP/0906 [ps, pdf] :

Title: UWB channel model in frequency domain based on propagation phenomenon analysis
Author: R. Saadane, A. Khafaji
Comments: 11 pages, 10 figures
Abstract:
By studying and understanding the characteristics of the channel measurement data, a simple Line-of-Sight Ultra Wide Bandwidth channel (UWB) model in frequency--domain (FD--model) for the small scale description of the frequency--selective channel is presented.
The proposed model is motivated by analysis of physical propagation phenomenon in UWB context. The performances of proposed model are evaluated over $3\,$ GHz of frequency bandwidth. In this work, the agreement between the experimental and simulated results is only qualitative. The suitability of this channel model is evaluated by comparing channel function transfer in frequency domain (resp. time domain). Also, we have compared the $\tau_{rms}$ and $\tau_{m}$ parameters for simulated channel and measured one. The evolution of number of Degree of Freedom (DoF) for simulated channel is in agreement with number of DoF for measured channel. Additionally, a simple description is presented for used measurements data. Other features of this proposed model also are discussed.

Title: Jeans' Gravitational Instability of Rotating Plasma
Author: Aiyub Khan, S. S. Tak and Neha Sharma
Comments: 10 pages, 6 figures
Abstract:
he gravitational instability of infinitely extending homogeneous rotating plasma permeated by an oblique magnetic field is considered. The solution has been obtained through the normal mode technique and dispersion relation has been derived. It is shown that Jeans' criterion remains unchanged in the present problem. The dispersion relation obtained has been solved numerically and it has been found that the Coriolis forces and viscosity have a stabilizing
influence while Hall current and magnetic resistivity have destabilizing influence on the growth rate of the unstable mode of disturbance.
Review Article
Title: Quantum Entanglement -- A Primer
Author: J P Singh
Comments: 28 pages
Abstract:
The phenomenon of ``quantum entanglement'' and the related ``EPR paradox'' has been mystifying physicists ever since Einstein, Podoloky \& Rosen published their gedanken experiment in 1935. However, the existence of quantum entanglement is, now, theoretically and experimentally well established. In fact, quantum entanglement is being looked upon as the cardinal resource in quantum communication, quantum computing and other information
processing activities to the extent that it could revolutionize the world of information technology. This is despite the fact that an unquestionable physical explanation of entanglement continues to elude all human endeavours. In this review, we present a bird's eye
view of all facets of this intriguing phenomenon. Starting from the pre-requisites (Section 2), we introduce ``quantum entanglement'' in Section 3. We, then, look at the scheme of measurement of the degree of entanglement in terms of ``Wootters Concurrence'' \&
``Entanglement of Formation''. Using quaternions, we study the geometry of the single and two qubit states of quantum computing. Through the Hopf fibrations, we identify geometric manifestations of the separability and entanglement of two qubit quantum systems.
Thereafter, we present the salient features of the EPR experiment and the Bohm's version thereof in terms of particle spins. Possible schemes of resolution of the EPR paradox in terms of Bohr's Complementarity Principle, time retroaction and Bohm's ``quantum potential'' are also discussed. Anomalies resulting from the von Neumann scheme of quantum measurement are also touched upon. A comprehensive list of references supports this review.

 

 

 

 

 

 



 

 

 


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