**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**1383

# Search results for: quantum kinetic equation

##### 1383 Influence of an External Magnetic Field on the Acoustomagnetoelectric Field in a Rectangular Quantum Wire with an Infinite Potential by Using a Quantum Kinetic Equation

**Authors:**
N. Q. Bau,
N. V. Nghia

**Abstract:**

The acoustomagnetoelectric (AME) field in a rectangular quantum wire with an infinite potential (RQWIP) is calculated in the presence of an external magnetic field (EMF) by using the quantum kinetic equation for the distribution function of electrons system interacting with external phonons and electrons scattering with internal acoustic phonon in a RQWIP. We obtained ananalytic expression for the AME field in the RQWIP in the presence of the EMF. The dependence of AME field on the frequency of external acoustic wave, the temperature *T* of system, the cyclotron frequency of the EMF and the intensity of the EMF is obtained. Theoretical results for the AME field are numerically evaluated, plotted and discussed for a specific RQWIP *GaAs/GaAsAl*. This result has shown that the dependence of the AME field on intensity of the EMF is nonlinearly and it is many distinct maxima in the quantized magnetic region. We also compared received fields with those for normal bulk semiconductors, quantum well and quantum wire to show the difference. The influence of an EMF on AME field in a RQWIP is newly developed.

**Keywords:**
Rectangular quantum wire,
acoustomagnetoelectric field,
electron-phonon interaction,
kinetic equation method.

##### 1382 Kinetic Study of Gluconic Acid Batch Fermentation by Aspergillus niger

**Authors:**
Akbarningrum Fatmawati,
Rudy Agustriyanto,
Lindawati

**Abstract:**

**Keywords:**
Aspergillus niger,
fermentation,
gluconic acid,
kinetic.

##### 1381 Unified Gas-Kinetic Scheme for Gas-Particle Flow in Shock-Induced Fluidization of Particles Bed

**Abstract:**

**Keywords:**
Gas-particle flow,
unified gas-kinetic scheme,
momentum transfer,
shock-induced fluidization.

##### 1380 The Hall Coefficient and Magnetoresistance in Rectangular Quantum Wires with Infinitely High Potential under the Influence of a Laser Radiation

**Authors:**
Nguyen Thu Huong,
Nguyen Quang Bau

**Abstract:**

**Keywords:**
Hall coefficient,
rectangular quantum wires,
electron-optical phonon interaction,
quantum kinetic equation.

##### 1379 Hall Coefficient in the Presence of Strong Electromagnetic Waves Caused by Confined Electrons and Phonons in a Rectangular Quantum Wire

**Authors:**
Nguyen Quang Bau,
Nguyen Thu Huong,
Dang Thi Thanh Thuy

**Abstract:**

**Keywords:**
Hall coefficient,
rectangular quantum wires,
electron-optical phonon interaction,
quantum kinetic equation,
confined phonons.

##### 1378 Influence of Confined Acoustic Phonons on the Shubnikov – de Haas Magnetoresistance Oscillations in a Doped Semiconductor Superlattice

**Authors:**
Pham Ngoc Thang,
Le Thai Hung,
Nguyen Quang Bau

**Abstract:**

The influence of confined acoustic phonons on the Shubnikov – de Haas magnetoresistance oscillations in a doped semiconductor superlattice (DSSL), subjected in a magnetic field, DC electric field, and a laser radiation, has been theoretically studied based on quantum kinetic equation method. The analytical expression for the magnetoresistance in a DSSL has been obtained as a function of external fields, DSSL parameters, and especially the quantum number *m* characterizing the effect of confined acoustic phonons. When *m* goes to zero, the results for bulk phonons in a DSSL could be achieved. Numerical calculations are also achieved for the *GaAs:Si/GaAs:Be *DSSL and compared with other studies. Results show that the Shubnikov – de Haas magnetoresistance oscillations amplitude decrease as the increasing of phonon confinement effect.

**Keywords:**
Shubnikov–de Haas magnetoresistance oscillations,
quantum kinetic equation,
confined acoustic phonons,
laser radiation,
doped semiconductor superlattices.

##### 1377 Comparative Kinetic Study on Alkylation of p-cresol with Tert-butyl Alcohol using Different SO3-H Functionalized Ionic Liquid Catalysts

**Authors:**
Pandian Elavarasan,
Kishore Kondamudi,
Sreedevi Upadhyayula

**Abstract:**

Ionic liquids are well known as green solvents, reaction media and catalysis. Here, three different sulfonic acid functional ionic liquids prepared in the laboratory are used as catalysts in alkylation of p-cresol with tert-butyl alcohol. The kinetics on each of the catalysts was compared and a kinetic model was developed based on the product distribution over these catalysts. The kinetic parameters were estimated using Marquadt's algorithm to minimize the error function. The Arrhenius plots show a curvature which is best interpreted by the extended Arrhenius equation.

**Keywords:**
Alkylation,
p-cresol,
tert-butyl alcohol,
kinetics,
activation parameter,
extended Arrhenius equation.

##### 1376 Nonplanar Ion-acoustic Waves in a Relativistically Degenerate Quantum Plasma

**Authors:**
Swarniv Chandra,
Sibarjun Das,
Agniv Chandra,
Basudev Ghosh,
Apratim Jash

**Abstract:**

**Keywords:**
Kadomtsev-Petviashvili equation,
Ion-acoustic
Waves,
Relativistic Degeneracy,
Quantum Plasma,
Quantum
Hydrodynamic Model.

##### 1375 Kinetics of Aggregation in Media with Memory

**Authors:**
A. Brener,
B. Balabekov,
N. Zhumataev

**Abstract:**

**Keywords:**
Binary aggregation,
Media with memory,
Non-local
model,
Relaxation times

##### 1374 Stability of Stochastic Model Predictive Control for Schrödinger Equation with Finite Approximation

**Authors:**
Tomoaki Hashimoto

**Abstract:**

**Keywords:**
Optimal control,
stochastic systems,
quantum systems,
stabilization.

##### 1373 The Photon-Drag Effect in Cylindrical Quantum Wire with a Parabolic Potential

**Authors:**
Hoang Van Ngoc,
Nguyen Thu Huong,
Nguyen Quang Bau

**Abstract:**

Using the quantum kinetic equation for electrons interacting with acoustic phonon, the density of the constant current associated with the drag of charge carriers in cylindrical quantum wire by a linearly polarized electromagnetic wave, a DC electric field and a laser radiation field is calculated. The density of the constant current is studied as a function of the frequency of electromagnetic wave, as well as the frequency of laser field and the basic elements of quantum wire with a parabolic potential. The analytic expression of the constant current density is numerically evaluated and plotted for a specific quantum wires GaAs/AlGaAs to show the dependence of the constant current density on above parameters. All these results of quantum wire compared with bulk semiconductors and superlattices to show the difference.

**Keywords:**
Photon-drag effect,
constant current density,
quantum wire,
parabolic potential.

##### 1372 An Expansion Method for Schrödinger Equation of Quantum Billiards with Arbitrary Shapes

**Authors:**
İnci M. Erhan

**Abstract:**

**Keywords:**
Bessel functions,
Eigenfunction expansion,
Quantum billiard,
Schrödinger equation,
Spherical harmonics

##### 1371 Thermodynamic Equilibrium of Nitrogen Species Discharge: Comparison with Global Model

**Authors:**
Saktioto,
F.D Ismail,
P.P. Yupapin,
J. Ali

**Abstract:**

**Keywords:**
chemical kinetic model,
Arrhenius equation,
nitrogen plasma,
low pressure discharge

##### 1370 The Gasoil Hydrofining Kinetics Constants Identification

**Authors:**
C. Patrascioiu,
V. Matei,
N. Nicolae

**Abstract:**

The paper describes the experiments and the kinetic parameters calculus of the gasoil hydrofining. They are presented experimental results of gasoil hidrofining using Mo and promoted with Ni on aluminum support catalyst. The authors have adapted a kinetic model gasoil hydrofining. Using this proposed kinetic model and the experimental data they have calculated the parameters of the model. The numerical calculus is based on minimizing the difference between the experimental sulf concentration and kinetic model estimation.

**Keywords:**
Hydrofining,
kinetic,
modeling,
optimization.

##### 1369 The Light-Effect in Cylindrical Quantum Wire with an Infinite Potential for the Case of Electrons: Optical Phonon Scattering

**Authors:**
Hoang Van Ngoc,
Nguyen Vu Nhan,
Nguyen Quang Bau

**Abstract:**

The light-effect in cylindrical quantum wire with an infinite potential for the case of electrons, optical phonon scattering, is studied based on the quantum kinetic equation. The density of the direct current in a cylindrical quantum wire by a linearly polarized electromagnetic wave, a DC electric field, and an intense laser field is calculated. Analytic expressions for the density of the direct current are studied as a function of the frequency of the laser radiation field, the frequency of the linearly polarized electromagnetic wave, the temperature of system, and the size of quantum wire. The density of the direct current in cylindrical quantum wire with an infinite potential for the case of electrons – optical phonon scattering is nonlinearly dependent on the frequency of the linearly polarized electromagnetic wave. The analytic expressions are numerically evaluated and plotted for a specific quantum wire, GaAs/GaAsAl.

**Keywords:**
The light-effect,
cylindrical quantum wire with an infinite potential,
the density of the direct current,
electrons - optical phonon scattering.

##### 1368 On the Integer Solutions of the Pell Equation x2 - dy2 = 2t

**Authors:**
Ahmet Tekcan,
Betül Gezer,
Osman Bizim

**Abstract:**

Let k ≥ 1 and t ≥ 0 be two integers and let d = k2 + k be a positive non-square integer. In this paper, we consider the integer solutions of Pell equation x2 - dy2 = 2t. Further we derive a recurrence relation on the solutions of this equation.

**Keywords:**
Pell equation,
Diophantine equation.

##### 1367 A Study on Removal of Toluidine Blue Dye from Aqueous Solution by Adsorption onto Neem Leaf Powder

**Authors:**
Himanshu Patel,
R. T. Vashi

**Abstract:**

Adsorption of Toluidine blue dye from aqueous solutions onto Neem Leaf Powder (NLP) has been investigated. The surface characterization of this natural material was examined by Particle size analysis, Scanning Electron Microscopy (SEM), Fourier Transform Infrared (FTIR) spectroscopy and X-Ray Diffraction (XRD). The effects of process parameters such as initial concentration, pH, temperature and contact duration on the adsorption capacities have been evaluated, in which pH has been found to be most effective parameter among all. The data were analyzed using the Langmuir and Freundlich for explaining the equilibrium characteristics of adsorption. And kinetic models like pseudo first- order, second-order model and Elovich equation were utilized to describe the kinetic data. The experimental data were well fitted with Langmuir adsorption isotherm model and pseudo second order kinetic model. The thermodynamic parameters, such as Free energy of adsorption (AG"), enthalpy change (AH') and entropy change (AS°) were also determined and evaluated.

**Keywords:**
Adsorption,
isotherm models,
kinetic models,
temperature,
toluidine blue dye,
surface chemistry.

##### 1366 Estimating Reaction Rate Constants with Neural Networks

**Authors:**
Benedek Kovacs,
Janos Toth

**Abstract:**

Solutions are proposed for the central problem of estimating the reaction rate coefficients in homogeneous kinetics. The first is based upon the fact that the right hand side of a kinetic differential equation is linear in the rate constants, whereas the second one uses the technique of neural networks. This second one is discussed deeply and its advantages, disadvantages and conditions of applicability are analyzed in the mirror of the first one. Numerical analysis carried out on practical models using simulated data, and our programs written in Mathematica.

**Keywords:**
Neural networks,
parameter estimation,
linear regression,
kinetic models,
reaction rate coefficients.

##### 1365 Photon Localization inside a Waveguide Modeled by Uncertainty Principle

**Authors:**
Shilpa N. Kulkarni,
Sujata R. Patrikar

**Abstract:**

**Keywords:**
photon localization in waveguide,
photon tunneling,
quantum confinement of light,
Schrödinger wave equation,
uncertainty principle.

##### 1364 The Proof of Two Conjectures Related to Pell-s Equation x2 −Dy2 = ± 4

**Authors:**
Armend Sh. Shabani

**Abstract:**

**Keywords:**
Pell's equation,
solutions of Pell's equation.

##### 1363 The Effect of Modification and Initial Concentration on Ammonia Removal from Leachate by Zeolite

**Authors:**
Fulya Aydın,
Ayşe Kuleyin

**Abstract:**

**Keywords:**
Leachate,
Ammonium,
zeolite

##### 1362 A Biomimetic Approach for the Multi-Objective Optimization of Kinetic Façade Design

**Authors:**
Do-Jin Jang,
Sung-Ah Kim

**Abstract:**

A kinetic façade responds to user requirements and environmental conditions. In designing a kinetic façade, kinetic patterns play a key role in determining its performance. This paper proposes a biomimetic method for the multi-objective optimization for kinetic façade design. The autonomous decentralized control system is combined with flocking algorithm. The flocking agents are autonomously reacting to sensor values and bring about kinetic patterns changing over time. A series of experiments were conducted to verify the potential and limitations of the flocking based decentralized control. As a result, it could show the highest performance balancing multiple objectives such as solar radiation and openness among the comparison group.

**Keywords:**
Biomimicry,
flocking algorithm,
autonomous decentralized control,
multi-objective optimization.

##### 1361 Preparation and Investigation of Photocatalytic Properties of ZnO Nanocrystals: Effect of Operational Parameters and Kinetic Study

**Authors:**
N. Daneshvar,
S. Aber,
M. S. Seyed Dorraji,
A. R. Khataee,
M. H. Rasoulifard

**Abstract:**

**Keywords:**
Zinc oxide nanopowder,
Electricity consumption,
Quantum yield,
Nanoparticles,
Photodegradation,
Kinetic model,
Insecticide.

##### 1360 Ocean Wave Kinetic Energy Harvesting System for Automated Sub Sea Sensors

**Authors:**
Amir Anvar,
Dong Yang Li

**Abstract:**

This paper presents an overview of the Ocean wave kinetic energy harvesting system. Energy harvesting is a concept by which energy is captured, stored, and utilized using various sources by employing interfaces, storage devices, and other units. Ocean wave energy harvesting in which the kinetic and potential energy contained in the natural oscillations of Ocean waves are converted into electric power. The kinetic energy harvesting system could be used for a number of areas. The main applications that we have discussed in this paper are to how generate the energy from Ocean wave energy (kinetic energy) to electric energy that is to eliminate the requirement for continual battery replacement.

**Keywords:**
Energy harvesting,
power system,
oceanic,
sensors,
autonomous.

##### 1359 An Analytical Method for Solving General Riccati Equation

**Authors:**
Y. Pala,
M. O. Ertas

**Abstract:**

In this paper, the general Riccati equation is analytically solved by a new transformation. By the method developed, looking at the transformed equation, whether or not an explicit solution can be obtained is readily determined. Since the present method does not require a proper solution for the general solution, it is especially suitable for equations whose proper solutions cannot be seen at first glance. Since the transformed second order linear equation obtained by the present transformation has the simplest form that it can have, it is immediately seen whether or not the original equation can be solved analytically. The present method is exemplified by several examples.

**Keywords:**
Riccati Equation,
ordinary differential equation,
nonlinear differential equation,
analytical solution,
proper solution.

##### 1358 The Pell Equation x2 − Py2 = Q

**Authors:**
Ahmet Tekcan,
Arzu Özkoç,
Canan Kocapınar,
Hatice Alkan

**Abstract:**

**Keywords:**
Pell equation,
solutions of Pell equation.

##### 1357 Adsorption of Paracetamol Using Activated Carbon of Dende and Babassu Coconut Mesocarp

**Authors:**
R. C. Ferreira,
H. H. C. De Lima,
A. A. Cândido,
O. M. Couto Junior,
P. A. Arroyo,
K. Q De Carvalho,
G. F. Gauze,
M. A. S. D. Barros

**Abstract:**

**Keywords:**
Adsorption,
activated carbon,
babassu,
dende.

##### 1356 The Diophantine Equation y2 − 2yx − 3 = 0 and Corresponding Curves over Fp

**Authors:**
Ahmet Tekcan,
Arzu Özkoç,
Hatice Alkan

**Abstract:**

**Keywords:**
Diophantine equation,
Pell equation,
quadratic form.

##### 1355 Propagation of Nonlinear Surface Waves in Relativistically Degenerate Quantum Plasma Half-Space

**Authors:**
Swarniv Chandra,
Parthasona Maji,
Basudev Ghosh

**Abstract:**

The nonlinear self-interaction of an electrostatic surface wave on a semibounded quantum plasma with relativistic degeneracy is investigated by using quantum hydrodynamic (QHD) model and the Poisson’s equation with appropriate boundary conditions. It is shown that a part of the second harmonic generated through self-interaction does not have a true surface wave character but propagates obliquely away from the plasma-vacuum interface into the bulk of plasma.

**Keywords:**
Harmonic Generation,
Quantum Plasma,
Quantum Hydrodynamic Model,
Relativistic Degeneracy,
Surface waves.

##### 1354 Energy Budget Equation of Superfluid HVBK Model: LES Simulation

**Authors:**
M. Bakhtaoui,
L. Merahi

**Abstract:**

The reliability of the filtered HVBK model is now investigated via some large eddy simulations (LES) of freely decaying isotropic superfluid turbulence. For homogeneous turbulence at very high Reynolds numbers, comparison of the terms in the spectral kinetic energy budget equation indicates, in the energy-containing range, that the production and energy transfer effects become significant except for dissipation. In the inertial range, where the two fluids are perfectly locked, the mutual friction maybe neglected with respect to other terms. Also, the LES results for the other terms of the energy balance are presented.

**Keywords:**
Superfluid turbulence,
HVBK,
Energy budget,
Large
Eddy Simulation.