scholarly journals Higher Order Perturbation Corrections of Rotating Excited States in the Standard SU(3) Skyrme Model to Baryon Mass Spectrum

1997 ◽  
Vol 12 (05) ◽  
pp. 873-890 ◽  
Author(s):  
Jin-Ping Li ◽  
Mu-Lin Yan ◽  
Rong-Hua Yu
Keyword(s):  
Experimental Data ◽  
Mass Spectrum ◽  
Excited States ◽  
Higher Order ◽  
Skyrme Model ◽  
Order Perturbation ◽  
Third Order ◽  
The Third ◽  
Baryon Mass ◽  
Higher Order Corrections

The higher order corrections of SU(3) rotating excited states to the Gell-Mann–Okubo Relations (or GOR) are presented in the standard SU(3) Skyrme model. The Improved GOR (or IGOR) are obtained. The results show the IGOR for decuplet up to the third order and for octet up to the second order are much compatible with the experimental data. But things become quite inadequate for the octet to the third order. In order to overcome the inadequacy, a heuristic discussion is presented. The properties of SU(3) rotating excited states 27-let (with spin [Formula: see text] or [Formula: see text]), 10*-let (with spin [Formula: see text]) and 35-let (with spin [Formula: see text]) are also discussed.

scholarly journals Surface modification of date seeds (Phoenix dactylifera) using potassium hydroxide for wastewater treatment to remove azo dye

2018 ◽  
Vol 13 (4) ◽  
pp. 859-870 ◽  
Author(s):  
Abinaya Arunachalam ◽  
Rajib Ghosh Chaudhuri ◽  
Eldhose Iype ◽  
B. G. Prakash Kumar
Keyword(s):  
Experimental Data ◽  
Azo Dye ◽  
Potassium Hydroxide ◽  
Low Cost ◽  
Carbon Adsorbent ◽  
Phoenix Dactylifera ◽  
Third Order ◽  
23 Factorial Design ◽  
The Third ◽  
Equilibrium Adsorption Capacity

Abstract In this study, a low cost carbon adsorbent was prepared from date seeds. Their surface was modified with potassium hydroxide for use as an adsorbent for the removal of synthetic dye (methyl orange (MO)) from aqueous solutions. The effects of initial MO concentration, adsorbent dosage and temperature were studied. A two-cubed (23) factorial design was carried out on the experimental data, with two replications for the process optimization. The results showed that all three factors and their interactions up to the third order were significant for the removal efficiency of MO. Maximum equilibrium adsorption capacity was 66.26 mg/g at 318 K.

A SPECTRAL/hp NONLINEAR FINITE ELEMENT ANALYSIS OF HIGHER-ORDER BEAM THEORY WITH VISCOELASTICITY

2012 ◽  
Vol 04 (01) ◽  
pp. 1250010 ◽  
Author(s):  
V. P. VALLALA ◽  
G. S. PAYETTE ◽  
J. N. REDDY
Keyword(s):  
Finite Element ◽  
Finite Element Model ◽  
Virtual Work ◽  
Constitutive Relations ◽  
Beam Theory ◽  
Element Model ◽  
Higher Order ◽  
Time Step ◽  
Third Order ◽  
The Third

In this paper, a finite element model for efficient nonlinear analysis of the mechanical response of viscoelastic beams is presented. The principle of virtual work is utilized in conjunction with the third-order beam theory to develop displacement-based, weak-form Galerkin finite element model for both quasi-static and fully-transient analysis. The displacement field is assumed such that the third-order beam theory admits C0 Lagrange interpolation of all dependent variables and the constitutive equation can be that of an isotropic material. Also, higher-order interpolation functions of spectral/hp type are employed to efficiently eliminate numerical locking. The mechanical properties are considered to be linear viscoelastic while the beam may undergo von Kármán nonlinear geometric deformations. The constitutive equations are modeled using Prony exponential series with general n-parameter Kelvin chain as its mechanical analogy for quasi-static cases and a simple two-element Maxwell model for dynamic cases. The fully discretized finite element equations are obtained by approximating the convolution integrals from the viscous part of the constitutive relations using a trapezoidal rule. A two-point recurrence scheme is developed that uses the approximation of relaxation moduli with Prony series. This necessitates the data storage for only the last time step and not for the entire deformation history.

A New Criterion to Determine the Start of Combustion in Diesel Engine

2004 ◽  
Author(s):  
Tomazˇ Katrasˇnik ◽  
Samuel Rodman Opresˇnik ◽  
Ferdinand Trenc ◽  
Nedjeljko Sˇkific´
Keyword(s):  
Experimental Data ◽  
Diesel Engine ◽  
Cylinder Pressure ◽  
Third Order ◽  
First Law Of Thermodynamics ◽  
The Third ◽  
Crank Angle ◽  
New Criterion ◽  
Start Of Combustion

A new criterion for the determination of the start of combustion (SOC) from the diesel engine in-cylinder pressure diagram was developed. It is defined as the maximum of the third order derivative of the cylinder pressure with respect the crank angle. This criterion declares SOC more precisely than other previously published criterions based on pressure diagnostics. This fact was proven analytically and was discernable from the analysis of the experimental data. Beside its accuracy it is also robust enough to allow automatic evaluation of the SOC during processing of the pressure data for a large number of cycles. Analysis of the first law of thermodynamics applied to the engine cylinder showed that the third order derivative of the cylinder pressure with respect to the crank angle is the most suitable criterion for determination of the SOC from the cylinder pressure diagram. Subsequently the criterion was validated through experimental data analysis of the cylinder pressure diagrams for various engine speeds and loads. Cylinder pressure diagrams were processed with a computer code based on the first law of thermodynamics to evaluate the rate of heat release (ROHR), which formed the base for experimental validation. The cylinder pressure was measured with an advanced piezoelectric sensor at the resolution 0.1 deg. CA. Top dead center was determined with the capacitive top dead center sensor. Due to the analytic foundation of the developed method and its validation through highly accurate experimental data it can be concluded that new criterion is credible for the determination of the SOC.

The kinetics of elementary reactions involving the oxides of sulphur II. Chemical reactions in the sulphur dioxide afterglow

1966 ◽  
Vol 295 (1443) ◽  
pp. 363-379 ◽  
Keyword(s):  
Excited States ◽  
Sulphur Dioxide ◽  
Kinetic Studies ◽  
Absolute Intensity ◽  
Third Order ◽  
Elementary Reactions ◽  
The Third ◽  
Dominant Process ◽  
Recombination Reactions ◽  
Kinetics Of

The main recombination reactions in the sulphur dioxide afterglow are shown to be O + SO 2 + M = SO 3 + M (1) and O + SO + M = SO 2 + M , (2) with rate constants of (4·7 ± 0·8) x 10 15 and (3·2 ± 0·4) x 10 17 cm 6 mole -2 s -1 respectively at 300°K for M = Ar. Reaction (2) is the dominant process removing sulphur monoxide (SO) which is otherwise remarkably unreactive. The absolute intensity of the sulphur dioxide afterglow is found to be I = 1·5 x 10 8 [O] [SO] cm 3 mole -1 s -1 for argon carriers at pressures between 0·25 an d 3·0 mmHg. The afterglow emission comes from three excited states of SO 2 . Spectroscopic and kinetic studies show that these are populated subsequent to or by the third order combination reaction (2). Excited SO 2 is removed mainly by electronic quenching.

Propagation of the higher-order Landau modes of electron plasma wave

1977 ◽  
Vol 17 (2) ◽  
pp. 251-257 ◽  
Author(s):  
S. Ikezawa ◽  
Y. Kawai ◽  
T. Hara ◽  
Y. Nakamura ◽  
T. Itoh ◽  
...  
Keyword(s):  
Numerical Calculation ◽  
Reasonable Agreement ◽  
Plasma Frequency ◽  
Electron Plasma ◽  
Higher Order ◽  
Third Order ◽  
Electron Plasma Wave ◽  
The Third ◽  
Dipole Excitation ◽  
Unmagnetized Plasma

Propagation of electrostatic electron waves whose frequency is smaller than the electron plasma frequency in a large unmagnetized plasma is investigated both experimentally and theoretically. When a receiver is close to a transmitter, free-streaming electrons are detected owing to their large capacity for excitation. When the distance between the receiver and the transmitter becomes large, the third-order Landau mode is observed due to its smaller damping than that of free-streaming electrons. Finally, a dip in amplitude of the wave, caused by interference by the higher-order Landau modes, is seen. The results are in reasonable agreement with numerical calculation assuming a dipole excitation for the wave.

scholarly journals Higher order derivatives of bulk modulus of materials at infinite pressure

2016 ◽  
Vol 94 (8) ◽  
pp. 748-750 ◽  
Author(s):  
A. Dwivedi
Keyword(s):  
Bulk Modulus ◽  
Higher Order ◽  
Grüneisen Parameter ◽  
Third Order ◽  
Pressure Derivative ◽  
Basic Principles ◽  
Gruneisen Parameter ◽  
The Third ◽  
The Status ◽  
Derivatives Of

Pressure derivatives of bulk modulus of materials at infinite pressure or extreme compression have been studied using some basic principles of calculus. Expressions for higher order pressure derivatives at infinite pressure are obtained that are found to have the status of identities. A generalized formula is derived for the nth-order pressure derivative of bulk modulus in terms of the third-order Grüneisen parameter at infinite pressure.

scholarly journals The Roles of the Gate Bias, Doping Concentration, Temperature and Geometry on the Harmonic Distortion of Junctionless Nanowire Transistors Operating in the Linear Regime

2014 ◽  
Vol 9 (2) ◽  
pp. 110-117
Author(s):  
Rodrigo T. Doria ◽  
Renan D. Trevisoli ◽  
Michelly De Souza ◽  
Magali Estrada ◽  
Antonio Cerdeira ◽  
...  
Keyword(s):  
Experimental Data ◽  
Doping Concentration ◽  
Series Resistance ◽  
Harmonic Distortion ◽  
Physical Parameters ◽  
Gate Bias ◽  
Linear Regime ◽  
Third Order ◽  
Nanowire Transistors ◽  
The Third

The linearity of Junctionless nanowire transistors operating in the linear regime has been evaluated through experimental data and numerical simulations. The influences of the fin width, the gate bias, the temperature, the doping concentration and the geometry on the overall linearity have been evaluated. The increase of the series resistance associated both to the variation of the physical parameters and the incomplete ionization effect has shown to improve the second order distortion and degrade the third order one.

scholarly journals CALCULATION OF THE HIGHER-ORDER AXIAL SPHERICAL ABERRATIONS OF A HIGH-APERTURE FOCUSING HOLOGRAPHIC OPTICAL ELEMENT WITH THE CORRECTED THIRD-ORDER SPHERICAL ABERRATION

2018 ◽  
Vol 42 (1) ◽  
pp. 44-53
Author(s):  
Yu. Ts. Batomunkuev ◽  
A. A. Dianova
Keyword(s):  
Spherical Aberration ◽  
Visible Spectrum ◽  
Optical Element ◽  
Higher Order ◽  
Point Sources ◽  
Third Order ◽  
The Third ◽  
Holographic Optical Element ◽  
Seventh Order ◽  
Spectral Ranges

Results of calculating the radius of higher-order spherical aberrations (fifth, seventh and ninth orders) of a high-aperture focusing holographic optical element (HOE) with corrected third-order spherical aberration in the operating spectral range are discussed. As examples, high-aperture axial HOEs with relative apertures close to 1:1 in specified spectral ranges are considered. Coordinates of the point sources of a divergent reference wave and a convergent object wave of the HOE are given. It is shown that when imaging a point source emitting in the 0.250-0.281-µm and 0.500- 0.563-µm spectral ranges, the use of an HOE in the first and second diffraction orders makes it is possible to correct the third-order spherical aberration on two wavelengths and the fifth- and seventh-order spherical aberrations on one wavelength. Note that these visible-spectrum wavelengths are different from the HOE's recording wavelength of 0.532 µm.

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