scholarly journals Is there the radion in the RS2 model?

Open Physics ◽  
2004 ◽  
Vol 2 (1) ◽  
Author(s):  
Mikhail Smolyakov ◽  
Igor Volobuev
Keyword(s):  
Boundary Conditions ◽  
Degree Of Freedom ◽  
Gauge Functions ◽  
Physical Boundary ◽  
Conditions At Infinity ◽  
Metric Fluctuations ◽  
Physical Degree

AbstractWe analyse the physical boundary conditions at infinity for metric fluctuations and gauge functions in the RS2 model with matter on the brane. We argue that due to these boundary conditions the radion field cannot be gauged out in this case. Thus, it represents a physical degree of freedom of the model.

Proper Boundary Conditions for Infinitely Layered Orthotropic Media

2000 ◽  
Vol 67 (3) ◽  
pp. 629-632
Author(s):  
E. L. Bonnaud ◽  
J. M. Neumeister
Keyword(s):  
Boundary Conditions ◽  
Layered Medium ◽  
Integral Transforms ◽  
Numerical Treatment ◽  
Problem Size ◽  
Transfer Matrix Approach ◽  
Stress Functions ◽  
Orthotropic Media ◽  
First Time ◽  
Conditions At Infinity

A stress analysis of a plane infinitely layered medium subjected to surface loadings is performed using Airy stress functions, integral transforms, and a revised transfer matrix approach. Proper boundary conditions at infinity are for the first time established, which reduces the problem size by one half. Methods and approximations are also presented to enable numerical treatment and to overcome difficulties inherent to such formulations. [S0021-8936(00)01103-X]

The implementation of physical boundary conditions in the Monte Carlo simulation of electron devices

1994 ◽  
Vol 13 (10) ◽  
pp. 1241-1246 ◽  
Author(s):  
D.L. Woolard ◽  
H. Tian ◽  
M.A. Littlejohn ◽  
K.W. Kim
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Boundary Conditions ◽  
Electron Devices ◽  
Physical Boundary

Recent Progress in CMM-Based Form Measurement

2015 ◽  
Vol 9 (2) ◽  
pp. 170-175 ◽  
Author(s):  
Otto Jusko ◽  
◽  
Michael Neugebauer ◽  
Helge Reimann ◽  
Ralf Bernhardt ◽  
...  
Keyword(s):  
Boundary Conditions ◽  
Recent Progress ◽  
Scanning Speed ◽  
Rotary Table ◽  
Probe Diameter ◽  
Current Implementation ◽  
Probe Material ◽  
Physical Boundary ◽  
Probe Geometry

Form standards with different profile geometries were measured using 3- and 4-axis scanning on a 3D CMM prototype with a precision rotary table. Physical boundary conditions, including probing force, probe diameter, probe geometry, probe material, and scanning speed, were varied, and then the results were analyzed. Some results were found to be equivalent to those obtained using form measuring machines. Limitations of the current implementation of this technique are discussed.

Boundary Conditions at Infinity for a Single Blocking Electrode

1964 ◽  
Vol 41 (5) ◽  
pp. 1505-1506 ◽  
Author(s):  
Ian R. Gatland ◽  
Louis Gold ◽  
John W. Moffat
Keyword(s):  
Boundary Conditions ◽  
Conditions At Infinity

New full-wave phase-shift approach to solve the Helmholtz acoustic wave equation for modeling

Geophysics ◽  
2012 ◽  
Vol 77 (1) ◽  
pp. T11-T27 ◽  
Author(s):  
Kaushik Maji ◽  
Fuchun Gao ◽  
Sameera K. Abeykoon ◽  
Donald J. Kouri
Keyword(s):  
Integral Equation ◽  
Wave Equation ◽  
Phase Shift ◽  
Boundary Conditions ◽  
Helmholtz Equation ◽  
Initial Conditions ◽  
Evanescent Waves ◽  
Absorbing Boundary Conditions ◽  
Operator Technique ◽  
Physical Boundary

We have developed a method of solving the Helmholtz equation based on a new way to generalize the “one-way” wave equation, impose correct boundary conditions, and eliminate exponentially growing evanescent waves. The full two-way nature of the Helmholtz equation is included, but the equation is converted into a pseudo one-way form in the framework of a generalized phase-shift structure consisting of two coupled first-order partial differential equations for wave propagation with depth. A new algorithm, based on the particular structure of the coupling between [Formula: see text] and [Formula: see text], is introduced to treat this problem by an explicit approach. More precisely, in a depth-marching strategy, the wave operator is decomposed into the sum of two matrices: The first one is a propagator in a reference velocity medium, whereas the second one is a perturbation term which takes into account the vertical and lateral variation of the velocity. The initial conditions are generated by solving the Lippmann-Schwinger integral equation formally, in a noniterative fashion. The approach corresponds essentially to “factoring out” the physical boundary conditions, thereby converting the inhomogeneous Lippmann-Schwinger integral equation of the second kind into a Volterra integral equation of the second kind. This procedure supplies artificial boundary conditions, along with a rigorous method for converting these solutions to those satisfying the correct, Lippmann-Scwinger (physical) boundary conditions. To make the solution numerically stable, the Feshbach projection operator technique is used to remove only the nonphysical exponentially growing evanescent waves, while retaining the exponentially decaying evanescent waves, along with all propagating waves. Suitable absorbing boundary conditions are implemented to deal with reflection or wraparound from boundaries. At the end, the Lippmann-Schwinger solutions are superposed to produce time snapshots of the propagating wave.

scholarly journals Conformal boundary conditions from cutoff AdS3

2021 ◽  
Vol 2021 (9) ◽  
Author(s):  
Evan Coleman ◽  
Vasudev Shyam
Keyword(s):  
Boundary Conditions ◽  
Ground State ◽  
State Energy ◽  
Growth Characteristic ◽  
Temperature Limit ◽  
Flow Equation ◽  
Legendre Transform ◽  
Conformal Boundary ◽  
Deformation Parameters ◽  
Metric Fluctuations

Abstract We construct a particular flow in the space of 2D Euclidean QFTs on a torus, which we argue is dual to a class of solutions in 3D Euclidean gravity with conformal boundary conditions. This new flow comes from a Legendre transform of the kernel which implements the T$$ \overline{T} $$ T ¯ deformation, and is motivated by the need for boundary conditions in Euclidean gravity to be elliptic, i.e. that they have well-defined propagators for metric fluctuations. We demonstrate equivalence between our flow equation and variants of the Wheeler de-Witt equation for a torus universe in the so-called Constant Mean Curvature (CMC) slicing. We derive a kernel for the flow, and we compute the corresponding ground state energy in the low-temperature limit. Once deformation parameters are fixed, the existence of the ground state is independent of the initial data, provided the seed theory is a CFT. The high-temperature density of states has Cardy-like behavior, rather than the Hagedorn growth characteristic of T$$ \overline{T} $$ T ¯ -deformed theories.

scholarly journals Enhanced Single-Degree-of-Freedom Analysis of Thin Elastic Plates Subjected to Blast Loading Using an Energy-Based Approach

2020 ◽  
Vol 2020 ◽  
pp. 1-29
Author(s):  
M. D. Goel ◽  
T. Thimmesh ◽  
P. Shirbhate ◽  
C. Bedon
Keyword(s):  
Boundary Conditions ◽  
Blast Waves ◽  
Degree Of Freedom ◽  
Elastic Plates ◽  
Nonlinear Parameters ◽  
Single Degree Of Freedom ◽  
Single Degree ◽  
Impulsive Loads ◽  
Technical Interest ◽  
Thin Elastic Plates

Single-degree-of-freedom (SDOF) models are known to represent a valid tool in support of design. Key assumptions of these models, on the other hand, can strongly affect the expected predictions, hence resulting in possible overconservative or misleading estimates for the response of real structural systems under extreme actions. Among others, the description of the input loads can be responsible for major design issues, thus requiring the use of more refined approaches. In this paper, a SDOF model is developed for thin elastic plates under large displacements. Based on the energy approach, careful attention is given for the derivation of the governing linear and nonlinear parameters, under different boundary conditions of technical interest. In doing so, the efforts are dedicated to the description of the incoming blast waves. In place of simplified sinusoidal pressures, the input impulsive loads are described with the support of infinite trigonometric series that are more accurate. The so-developed SDOF model is therefore validated, based on selected literature results, by analyzing the large displacement response of thin elastic plates, under several boundary conditions and real blast pressures. Major advantage for the validation of the proposed SDOF model is obtained from experimental finite element (FE) and finite difference (FD) models of literature, giving evidence of a rather good correlation and confirming the validity of the presented formulation.

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