A perturbation theory for scattering from targets near rough surface sediments: Numerical results

1999 ◽  
Vol 105 (2) ◽  
pp. 1195-1195 ◽  
Author(s):  
Garner C. Bishop ◽  
Judy Smith
Keyword(s):  
Perturbation Theory ◽  
Rough Surface ◽  
Surface Sediments ◽  
Numerical Results

scholarly journals Improving the understanding of jet grooming in perturbation theory

2020 ◽  
Vol 2020 (9) ◽  
Author(s):  
Andrew J. Larkoski
Keyword(s):  
Perturbation Theory ◽  
Phase Space ◽  
Cross Section ◽  
Power Counting ◽  
Numerical Results ◽  
Factorization Theorem ◽  
Jet Physics ◽  
Leading Order ◽  
Physics Program ◽  
Jet Observables

Abstract Jet grooming has emerged as a necessary and powerful tool in a precision jet physics program. In this paper, we present three results on jet grooming in perturbation theory, focusing on heavy jet mass in e+e−→ hadrons collisions, groomed with the modified mass drop tagger. First, we calculate the analytic cross section at leading-order. Second, using the leading-order result and numerical results through next-to-next-to-leading order, we show that cusps in the distribution on the interior of phase space at leading-order are softened at higher orders. Finally, using analytic and numerical results, we show that terms that violate the assumptions of the factorization theorem for groomed jet mass are numerically much smaller than expected from power counting. These results provide important information regarding the convergence of perturbation theory for groomed jet observables and reliable estimates for residual uncertainties in a precision calculation.

scholarly journals Statistical problem of ideal gas in general two-dimensional regions

2014 ◽  
Vol 29 (02) ◽  
pp. 1450243 ◽  
Author(s):  
Ci Song ◽  
Wen-Du Li ◽  
Pardon Mwansa ◽  
Ping Zhang
Keyword(s):  
Perturbation Theory ◽  
Conformal Mapping ◽  
Ideal Gas ◽  
Mapping Method ◽  
Numerical Results ◽  
Statistical Problem ◽  
Thermodynamic Quantities ◽  
Two Dimensional ◽  
Conformal Mapping Method

In this paper, based on the conformal mapping method and the perturbation theory, we develop a method to solve the statistical problem within general two-dimensional regions. We consider some examples and the numerical results and fitting results are given. We also give the thermodynamic quantities of the general two-dimensional regions, and compare the thermodynamic quantities of the different regions.

The double-layer impedance at a rough surface: numerical results

1993 ◽  
Vol 358 (1-2) ◽  
pp. 77-109 ◽  
Author(s):  
Michael Leibig ◽  
Thomas C. Halsey
Keyword(s):  
Rough Surface ◽  
Double Layer ◽  
Numerical Results

scholarly journals Generalized Perturbation Theory Based Total Sensitivity and Uncertainty Analysis for High-Fidelity Neutronics Calculation

2021 ◽  
Vol 9 ◽  
Author(s):  
Ji Ma ◽  
Chen Hao ◽  
Guanghao Liu ◽  
Le Kang ◽  
Peijun Li ◽  
...  
Keyword(s):  
Perturbation Theory ◽  
Uncertainty Analysis ◽  
Sensitivity Coefficient ◽  
Numerical Results ◽  
High Fidelity ◽  
Two Dimensional ◽  
Sensitivity Calculation ◽  
Generalized Perturbation Theory ◽  
Fuel Pin ◽  
Total Sensitivity

Neutronics calculation for nuclear reactor with high-fidelity technology can significantly reduce the uncertainties propagated from numerical approximation error and model error. However, the uncertainty of input parameters inevitably exists, especially for nuclear data. On the other hand, resonance self-shielding calculation is essential for multi-group assumption based high-fidelity neutronics calculation, which introduce the implicit effect for calculation responses. In order to fully consider the implicit effects in the process of uncertainty quantification, a generalized perturbation theory (GPT) based implicit sensitivity calculation method is proposed in this paper. Combining the explicit sensitivity coefficient, which can be quantified using classic perturbation theory, the total sensitivity coefficient of calculation responses is obtained. Then the total sensitivity and uncertainty module is established in self-developed neutron transport code with high-fidelity technology-HNET. To verify the accuracy of the sensitivity calculation methods proposed in this paper, a two-dimensional fuel pin problem is chosen to verify the sensitivity results, and the numerical results show good agreement with results calculated by a direct perturbation method. Finally, uncertainty analysis for two-dimensional fuel pin problem is performed and some general conclusions are obtained from the numerical results.

scholarly journals SHORT DISTANCE REPULSION AMONG BARYONS

2013 ◽  
Vol 22 (05) ◽  
pp. 1330012 ◽  
Author(s):  
SINYA AOKI ◽  
JANOS BALOG ◽  
TAKUMI DOI ◽  
TAKASHI INOUE ◽  
PETER WEISZ
Keyword(s):  
Wave Function ◽  
Perturbation Theory ◽  
Renormalization Group ◽  
Lattice Qcd ◽  
Operator Product Expansion ◽  
Short Distance ◽  
Numerical Results ◽  
Wave Functions ◽  
Operator Product ◽  
Distance Behavior

We review recent investigations on the short distance behaviors of potentials among baryons, which are formulated through the Nambu–Bethe–Salpeter (NBS) wave function. After explaining the method to define the potentials, we analyze the short distance behavior of the NBS wave functions and the corresponding potentials by combining the operator product expansion (OPE) and a renormalization group (RG) analysis in the perturbation theory (PT) of QCD. These analytic results are compared with numerical results obtained in lattice QCD simulations.

scholarly journals The Risk-Adjusted Carbon Price

2021 ◽  
Vol 111 (9) ◽  
pp. 2782-2810
Author(s):  
Ton S. Van den Bremer ◽  
Frederick Van der Ploeg
Keyword(s):  
Perturbation Theory ◽  
Climate Sensitivity ◽  
Social Cost ◽  
Carbon Price ◽  
Numerical Results ◽  
Social Cost Of Carbon ◽  
Economic Risk ◽  
Present Value ◽  
Analytical Results ◽  
The Social

The social cost of carbon is the expected present value of damages from emitting one ton of carbon today. We use perturbation theory to derive an approximate tractable expression for this cost adjusted for climatic and economic risk. We allow for different aversion to risk and intertemporal fluctuations, skewness and dynamics in the risk distributions of climate sensitivity and the damage ratio, and correlated shocks. We identify prudence, insurance, and exposure effects, reproduce earlier analytical results, and offer analytical insights into numerical results on the effects of economic and damage ratio uncertainty and convex damages on the optimal carbon price. (JEL E12, G22, H23, O44, Q35, Q51, Q54)

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