scholarly journals Renormalisation group determination of scalar mass bounds in a simple Yukawa-model

2016 ◽  
Vol 31 (28n29) ◽  
pp. 1645042 ◽  
Author(s):  
A. Jakovác ◽  
I. Kaposvári ◽  
A. Patkós
Keyword(s):  
Close Agreement ◽  
Truncation Error ◽  
Scalar Potential ◽  
Renormalisation Group ◽  
Yukawa Model ◽  
Potential Approximation ◽  
Higher Dimensional ◽  
Local Potential Approximation ◽  
Scalar Mass

The scalar mass is determined in the simplest cut-off regularized Yukawa-model in the whole range of stability of the scalar potential. Two versions of the Functional Renormalisation Group (FRG) equations are solved in the Local Potential Approximation (LPA), where also the possible existence of a composite fermionic background is taken into account. The close agreement of the results with previous studies taking into account exclusively the effect of the scalar condensate, supports a rather small systematic truncation error of FRG due to the omission of higher dimensional operators.

The quantitative comparison of experimental and simulated diffraction contrast images

1995 ◽  
Vol 53 ◽  
pp. 102-103
Author(s):  
Stuart McKernan
Keyword(s):  
Image Processing ◽  
Personal Computer ◽  
Close Agreement ◽  
Quantitative Comparison ◽  
Image Simulation ◽  
Computing Power ◽  
Diffraction Contrast ◽  
Simulated Images ◽  
Made In

For many years the concept of quantitative diffraction contrast experiments might have consisted of the determination of dislocation Burgers vectors using a g.b = 0 criterion from several different 2-beam images. Since the advent of the personal computer revolution, the available computing power for performing image-processing and image-simulation calculations is enormous and ubiquitous. Several programs now exist to perform simulations of diffraction contrast images using various approximations. The most common approximations are the use of only 2-beams or a single systematic row to calculate the image contrast, or calculating the image using a column approximation. The increasing amount of literature showing comparisons of experimental and simulated images shows that it is possible to obtain very close agreement between the two images; although the choice of parameters used, and the assumptions made, in performing the calculation must be properly dealt with. The simulation of the images of defects in materials has, in many cases, therefore become a tractable problem.

scholarly journals Isotherms of hydrogen, carbon monoxide and their mixtures

1931 ◽  
Vol 134 (824) ◽  
pp. 502-512 ◽  
Keyword(s):  
Carbon Monoxide ◽  
Pressure Range ◽  
Close Agreement ◽  
Gas Mixtures ◽  
Industrial Processes ◽  
Gaseous Mixtures ◽  
Previous Communication ◽  
New Apparatus ◽  
Temperature Ranges

In a previous communication from these laboratories by G. A. Scott an account was given of the determination of the isotherms of hydrogen, carbon monoxide and mixtures of the two in the molecular proportion 2 : 1, 1 : 1 and 1 : 2 over a pressure range up to 170 atmospheres and at a temperature of 25° C. Since the completion of that investigation new apparatus has been installed so that the pressure and temperature ranges might be extended; and in this paper are embodied the results of further determinations carried out at both 0° C. and 25° C. and over a pressure range extending up to 600 atmospheres. In pursuing this investigation further it is our endeavour to furnish information in regard to the gaseous mixtures in question over the pressure and temperature ranges now commonly used in industrial processes. The Isotherms of the Single Gases . A repetition in our new apparatus of the determinations previously made by Scott both for the single gases and gas mixtures at 25° C. and at pressures up to 170 atmospheres showed his figures to be in close agreement with our own, the variations never exceeding 0·1 per cent.

Determination of effective properties of granite rock: A numerical investigation

MRS Advances ◽  
2018 ◽  
Vol 3 (37) ◽  
pp. 2159-2168
Author(s):  
Rehema Ndeda ◽  
S. E. M Sebusang ◽  
R. Marumo ◽  
Erich O. Ogur
Keyword(s):  
Elastic Properties ◽  
Close Agreement ◽  
Effective Properties ◽  
Volume Element ◽  
The Finite Element Method ◽  
Effective Elastic Properties ◽  
Spherical Inclusions ◽  
Periodic Microstructures ◽  
Crack Profile

ABSTRACTMacroscopic strength of the rock depends on the behavior of the micro constituents, that is, the minerals, pores and crack profile. It is important to determine the effect of these constituents on the overall behavior of the rock. This study seeks to estimate the effective elastic properties of granite using the finite element method. A representative volume element (RVE) of suitable size with spherical inclusions of different distribution is subjected to loading and the effective elastic properties determined. The results are compared to those obtained from analytical methods. The elastic properties are obtained in both the axial and transverse direction to account for anisotropy. It is observed that there is congruence in the results obtained both analytically and numerically. The method of periodic microstructures exhibits close agreement with the numerical results.

Modal Response Contribution

2021 ◽  
pp. 240-262
Keyword(s):  
Truncation Error ◽  
Structure Calculation ◽  
Correction Procedure ◽  
Static Correction ◽  
Modal Response ◽  
Elastic Forces ◽  
The Subject

In order to optimize structure calculation, it is inconceivable to miss the understanding of the modal response contribution and truncation error. This chapter enlightens the reader on the subject by dealing with certain points, namely the determination of the elastic forces modal contribution, modal participation factors and truncation error, and static correction procedure. At the end of the chapter, examples will be treated in order to bring clarity to the reader on the points cited before.

scholarly journals CP VIOLATION AND MODULI STABILIZATION IN HETEROTIC MODELS

2002 ◽  
Vol 17 (22) ◽  
pp. 1465-1473 ◽  
Author(s):  
JOEL GIEDT
Keyword(s):  
Supergravity Models ◽  
Simple Model ◽  
Cp Violation ◽  
Scalar Potential ◽  
Background Values ◽  
Moduli Stabilization ◽  
Weakly Coupled ◽  
Potential Sources

The role of moduli stabilization in predictions for CP violation is examined in the context of four-dimensional effective supergravity models obtained from the weakly coupled heterotic string. We point out that while stabilization of compactification moduli has been studied extensively, the determination of background values for other scalars by dynamical means has not been subjected to the same degree of scrutiny. These other complex scalars are important potential sources of CP violation and we show in a simple model how their background values (including complex phases) may be determined from the minimization of the supergravity scalar potential, subject to the constraint of vanishing cosmological constant.

High Temperature Guinier X-Ray Diffractometry for Thermal Expansion Measurements in the Hexagonal form of Cordierite ((2MgO•2Al2O3•5SiO2)

1983 ◽  
Vol 27 ◽  
pp. 397-404
Author(s):  
J. S. Pressnall ◽  
J. J. Fitzpatrick ◽  
Paul Predecki
Keyword(s):  
Thermal Expansion ◽  
High Temperature ◽  
Close Agreement ◽  
Accurate Determination ◽  
Critical Test ◽  
Lattice Thermal Expansion ◽  
X Ray ◽  
Hexagonal Form ◽  
Computer Controlled

AbstractA computer-controlled high temperature Guinier diffractometer system for accurate determination of lattice thermal expansion is described. A critical test of the system using α-Al2O3 (0.3μ polishing alumina) showed close agreement with the single crystal expansion data of Wachtman et al. Lattice thermal expansion of cordierite doped with the following dopants: Ge+4, P+5, Zn+2, Li+1 and Ca+2 was investigated. Of these the Li+1 at the 5% level (5% of Si+4 replaced by Li+1 + Al+3) produced the largest decrease in mean lattice expansion.

FATTY ACIDS AND THEIR ESTERS: III. IODINE VALUES BY THE BROMINE VAPOR METHOD

1936 ◽  
Vol 14b (6) ◽  
pp. 237-242 ◽  
Author(s):  
H. N. Brocklesby ◽  
K. F. Harding
Keyword(s):  
Fatty Acids ◽  
Iodine Value ◽  
Close Agreement ◽  
Wijs Method ◽  
Iodine Values ◽  
Bromine Vapor ◽  
Value Determination ◽  
Vapor Method

A modified bromine vapor method for iodine value determination that allows of the determination of substitution is described. For non-conjugated unsaturated oils free from oxidation or polymerization products, values are obtained that are in close agreement with those found by Wijs' method. The unsaturation of conjugated esters can be determined satisfactorily. Owing to substitution, the unsaturation of oxidized or polymerized esters cannot be determined by this method.

scholarly journals VLBI studies of the nutations of the earth

1988 ◽  
Vol 129 ◽  
pp. 371-375
Author(s):  
T. A. Herring
Keyword(s):  
Truncation Error ◽  
Very Long Baseline Interferometry ◽  
Long Baseline ◽  
The Earth ◽  
Vlbi Data ◽  
One Year ◽  
Nutation Series ◽  
Theoretical Considerations ◽  
Active Investigation

The application of very–long–baseline interferometry (VLBI) to the study of the nutations of the earth has yielded unprecedented accuracy for the experimental determination of the coefficients of the nutation series. The analysis of six years of VLBI data has yielded corrections to the coefficients of the seven largest terms in the IAU 1980 nutation series with periods of one year or less, with accuracies approaching the truncation error of this nutation series (0.1 mas). The nutation series coefficients computed from the VLBI data, and those obtained from theoretical considerations (the IAU 1980 nutation series), are in excellent agreement. The largest corrections are to the coefficients of the retrograde annual nutation [2.0 ± 0.1 mas], the prograde semiannual nutation [(0.5 - ι 0.4) ±0.1 mas], and the prograde 13.7 day nutation [−0.4 ± 0.1 mas]. (The imaginary term for the semiannual nutation represents a term 90° out–of–phase with the arguments of the nutation series.) The geophysical implications of these results are currently under active investigation. We discuss the methods used to extract the nutation information from the VLBI data, the calculations of the uncertainties of the resultant corrections to the coefficients of the nutation series, and the current research into the nutations of the earth.

Sign in / Sign up

Export Citation Format

Share Document