Stable Planes Admitting a Classical Motion Group

1986 ◽  
Vol 9 (1-2) ◽  
pp. 119-130 ◽  
Author(s):  
Rainer Löwen
Keyword(s):  
Motion Group ◽  
Classical Motion ◽  
Stable Planes

scholarly journals Pair-production of cusps on a string in AdS3

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
David Vegh
Keyword(s):  
Pair Production ◽  
Discrete System ◽  
Gordon Equation ◽  
Equation Of Motion ◽  
Pair Creation ◽  
Speed Of Light ◽  
Final State ◽  
Classical Motion ◽  
Direct Energy ◽  
The Moment

Abstract The classical motion of a Nambu-Goto string in AdS3 spacetime is governed by the generalized sinh-Gordon equation. It can locally be reduced to the sinh-Gordon (shG), cosh-Gordon (chG), or Liouville equation, depending on the value of the scalar curvature of the induced metric. In this paper, I examine solutions that contain both shG-type and chG-type regions. The boundary between these regions moves with the speed of light. I show that near such boundaries (generalized) solitons can be classically pair-produced. The solitons move subluminally (superluminally) in the shG (chG) region on the worldsheet, and they correspond to cusps on the string. A direct energy cascade is observed at the moment of pair-creation.For the calculations, I use an exact discretization of the equation of motion. The solutions are segmented strings. In this discrete system, pair-production leads to a complete evaporation of the shG region. The final state is a gas of cusps in a chG environment.

Usage of composite kernel in the SPH method for simulating the movement of granular materials

2021 ◽  
pp. 50-61
Author(s):  
Игорь Иванович Потапов ◽  
Ольга Владимировна Решетникова
Keyword(s):  
Experimental Data ◽  
Numerical Solution ◽  
Granular Medium ◽  
Mass Conservation ◽  
New Combination ◽  
Computational Domain ◽  
Sph Method ◽  
Classical Motion ◽  
Smoothing Kernel ◽  
Composite Kernel

В работе для моделирования движения сыпучей среды используется метод сглаженных частиц. Для аппроксимации искомых функций предложено новое составное ядро малой связности. Основой для разработки ядра послужило требование к условию о сохранении плотности единичной SPH-частицы. Выполнение данного условия позволяет правильно моделировать поле плотности на границах расчетной области, а также в случаях структурных изменений каркаса гранулированных частиц сыпучей среды. Из анализа решения задачи гидростатики методом SPH получена оценка значения масштаба сглаживающей длины ядра для двумерного случая. Выполнен расчет процесса обрушения гранулированного “столба” и проведено сравнение полученных численных результатов моделирования с экспериментальными данными. The purpose of the study is to improve the practice of the SPH methodology which is applied for modelling of movement in the various media. The basis of the SPH-approximation of the function fields is formed by the forms of the smoothing kernel and its derivatives. Popular forms of smoothing kernels are characterized by the presence of significant fatal approximation errors when modelling granular media. Methodology. The state of granular medium is described by the classical motion and mass conservation equations. Each granule of the medium corresponds to a separate SPH particle. To approximate the density and pressure fields in the SPH particle, a new combination of the smoothing core and its first derivative forms is proposed. Results. The proposed new composite core fulfills the conditions of mass conservation and density recovery in the particle during SPH modeling. It is shown that the new composite core is characterized by a minimum error of pressure gradient approximation - about 2%. A new estimate for the velocity of propagation of an elastic wave in a medium, sufficient to obtain a correct numerical solution, is proposed. A comparative analysis of the obtained solutions with experimental data is made. Findings. The proposed composite shape of the smoothing kernel allows correct simulation of the motion of a granular medium by the SPH method. Its compactness (unit smoothing radius and unit smoothing length) makes it possible to correctly reconstruct the density field at the boundaries of the computational domain and in cases of structural changes in the framework of the granular medium. The numerical solution of the problem of the collapse of a column of granules obtained using the proposed composite core shows good agreement with experimental data.

Rotation-vibration separability in the classical motion of triatomics

1986 ◽  
Vol 142 ◽  
pp. 529-532 ◽  
Author(s):  
J. Santamaria ◽  
G. Alvarez Galindo ◽  
R. Escribano ◽  
G.S. Ezra
Keyword(s):  
Classical Motion

scholarly journals On Mass Spectra of Primordial Black Holes

2021 ◽  
Vol 8 ◽  
Author(s):  
Alexander A. Kirillov ◽  
Sergey G. Rubin
Keyword(s):  
Black Holes ◽  
Mass Spectrum ◽  
Mass Spectra ◽  
Scalar Fields ◽  
Small Mass ◽  
Primordial Black Holes ◽  
Classical Motion ◽  
Multiple Production ◽  
Analytical Formulas ◽  
Intrinsic Feature

Evidence for the primordial black holes (PBH) presence in the early Universe renews permanently. New limits on their mass spectrum challenge existing models of PBH formation. One of the known models is based on the closed walls collapse after the inflationary epoch. Its intrinsic feature is the multiple production of small mass PBH which might contradict observations in the nearest future. We show that the mechanism of walls collapse can be applied to produce substantially different PBH mass spectra if one takes into account the classical motion of scalar fields together with their quantum fluctuations at the inflationary stage. Analytical formulas have been developed that contain both quantum and classical contributions.

scholarly journals The discomfort of riding shotgun – Why many people don’t like to be co-driver

2020 ◽  
Author(s):  
Sandra Ittner ◽  
Dominik Muehlbacher ◽  
Thomas H. Weisswange
Keyword(s):  
Self Regulation ◽  
Passenger Vehicle ◽  
Online Questionnaire ◽  
Classical Motion ◽  
Safety Critical ◽  
Future Design ◽  
Human Machine Interfaces ◽  
Public Survey ◽  
Assistant Systems

This work investigates which conditions lead to co-driver discomfort aside from classical motion sickness, what characterizes uncomfortable situations and why these conditions lead to discomfort.The automobile is called a “passenger vehicle” as its main purpose is the transportation of people. However, passengers in the car are rarely considered in research about driving discomfort. The few studies in this area focus on driver discomfort, automated vehicles, and on driver assistant systems. An earlier public survey indicated that discomfort is also a relevant problem for co-drivers.An online questionnaire with N = 119 participants and a detailed follow up interview study with N = 24 participants were conducted.The results of the online questionnaire show that co-driver discomfort is a widespread problem (88 %). The results of the interviews indicate that the driving style is the only reason rated as very influential. Frequently mentioned reasons for discomfort are close following or fast driving. Uncomfortable situations were often perceived as safety critical. Participants also felt exposed to these situations. A model for possible cognitive origins of discomfort in co-drivers is proposed based on the study results.Co-driver discomfort is a common problem, highlighting the relevance of further research on supporting co-drivers. The reported correlations and the extension of theories from the areas of stress and self-regulation can help to explain the origin of this discomfort. The results provide a foundation for future design of interventions like human machine interfaces aiming at reducing co-driver discomfort.

Classical motion in two-dimensional crystals

1995 ◽  
Vol 78 (5-6) ◽  
pp. 1591-1605 ◽  
Author(s):  
Burkhard Nobbe
Keyword(s):  
Two Dimensional ◽  
Classical Motion

The Stochastic Resonance of Noise Frequency Modulation Signal Using Motion-Group Fourier Transform

2015 ◽  
Vol 713-715 ◽  
pp. 1452-1455
Author(s):  
Jing Bo He ◽  
Sheng Liang Hu
Keyword(s):  
Signal Processing ◽  
Fourier Transform ◽  
Stochastic Resonance ◽  
Frequency Modulation ◽  
Planck Equation ◽  
Motion Group ◽  
Noise Frequency ◽  
Modulation Signal ◽  
Group Fourier Transform ◽  
Linear Differential

In this paper stochastic resonance was studied in radar driven by noise frequency modulation signal. According to the intrinsic relations between the stochastic differential and the radar jamming signal processing, the stochastic calculus was used in the radar jamming signal processing in this paper. The noise frequency modulation signal was particularly analyzed. The Fokker-Planck equation of noise frequency modulation was presented and the Motion-Group Fourier Transform was used by converting the partial differential equation into the variable coefficient homogenous linear differential equations. Then the solutions were given.

Quadric Fields in the Geometry of the Whirl-Motion Group G 6

1939 ◽  
Vol 61 (1) ◽  
pp. 131
Author(s):  
Edward Kasner ◽  
John De Cicco
Keyword(s):  
Motion Group
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