scholarly journals Testing axial symmetry by means of directional regression quantiles

2021 ◽  
Vol 15 (1) ◽  
Author(s):  
Šárka Hudecová ◽  
Miroslav Šiman
Keyword(s):  
Axial Symmetry ◽  
Regression Quantiles

S=1 antiferromagnetic Heisenberg chain with an axial-symmetry-breaking anisotropy

1991 ◽  
Vol 44 (18) ◽  
pp. 10385-10388 ◽  
Author(s):  
Tiôru Sakai ◽  
Minoru Takahashi
Keyword(s):  
Symmetry Breaking ◽  
Axial Symmetry ◽  
Heisenberg Chain

Geometric effect on the vortex configuration and motion in mesoscopic superconducting cylinders

2015 ◽  
Vol 29 (03) ◽  
pp. 1550009 ◽  
Author(s):  
Shan-Shan Wang ◽  
Guo-Qiao Zha
Keyword(s):  
Phase Transitions ◽  
Vortex Dynamics ◽  
Axial Symmetry ◽  
Time Dependent ◽  
Vortex Matter ◽  
Ginzburg Landau ◽  
Geometric Effect ◽  
Multiply Connected ◽  
Vortex States ◽  
Ginzburg Landau Equations

Based on the time-dependent Ginzburg–Landau equations, we study numerically the vortex configuration and motion in mesoscopic superconducting cylinders. We find that the effects of the geometric symmetry of the system and the noncircular multiply-connected boundaries can significantly influence the steady vortex states and the vortex matter moving. For the square cylindrical loops, the vortices can enter the superconducting region in multiples of 2 and the vortex configuration exhibits the axial symmetry along the square diagonal. Moreover, the vortex dynamics behavior exhibits more complications due to the existed centered hole, which can lead to the vortex entering from different edges and exiting into the hole at the phase transitions.

Guidage d'un faisceau de particules chargées à travers une chaîne de solénoïdes cylindriques et toroïdaux alternés

1985 ◽  
Vol 63 (8) ◽  
pp. 1098-1104
Author(s):  
Giulio Bosi ◽  
Alain Durand
Keyword(s):  
Distribution Function ◽  
Space Charge ◽  
Axial Symmetry ◽  
Fringe Field ◽  
Suitable Choice ◽  
Space Charge Effects ◽  
Electron Cooler ◽  
Charge Effects ◽  
Angular Extent ◽  
Transverse Temperature

The present paper is devoted to analyzing the magnetic fringe-field and space-charge effects on a beam of nonrelativistic electrons crossing a sequence of cylindrical and toroidal solenoids, as may be found in an electron cooler. The investigation is mainly aimed at searching for suitable conditions that ensure conservation of the axial symmetry of a given beam throughout the whole system. The need for a vertical steering field, in addition to the longitudinal one provided by each toroidal coil, is emphasized and its form determined. A suitable choice of the angular extent of a torus is shown to suppress axis vibrations at the entrance of the following sector. Finally, the transverse temperature of a cylindrical beam is calculated after specifying the appropriate distribution function.

Contrast Study on the Radial Velocity of the Flow Field of the Hydrocyclones with Different Inlet Structures

2011 ◽  
Vol 339 ◽  
pp. 624-629
Author(s):  
Lian Cheng Ren ◽  
Zheng Liang ◽  
Jiang Meng ◽  
Lin Yang ◽  
Jia Lin Tian
Keyword(s):  
Numerical Simulation ◽  
Flow Field ◽  
Radial Velocity ◽  
Axial Symmetry ◽  
Separation Efficiency ◽  
Great Influence ◽  
The Other ◽  
Contrast Study ◽  
The One ◽  
Tangential Inlet

On the base of numerical simulation and theoretical analysis, the flow field of a conventional single-tangential-inlet Hydrocyclone and a newly put forward axial-symmetry double-tangential-inlet hydrocyclone were contrasted. The study shows that the inlet structure of the Hydrocylone has a great influence on the radial velocity of the flow field in the hydrocyclone and that the radial velocity in the hydrocyclone with single-tangential-inlet is not symmetry about the axis of the hydrocyclone; and on the other hand the radial velocity in the hydrocyclone with axial-symmetry double-tangential-inlet is symmetry about the axis of the hydrocyclone. The magnitude of the radial velocity of the flow in the hydrocyclone with single-tangential-inlet is greater than that in the hydrocyclone with axial-symmetry double-tangential-inlet hydrocyclone, which means the hydrocyclone with axial-symmetry double-tangential-inlet has greater capability than the rival one with single-tangential inlet. The symmetry about the axis of the hydrocyclone of the radial velocity means the radial velocities in the place where the radio is the same are constant, which means the hydrocyclone has a great separation efficiency. The conclusion is that changing the conventional hydrocyclone into the one with axial-symmetry double-tangential-inlet structure can offer greater separation capability and efficiency.

scholarly journals Some solutions of Einstein's gravitational equations for systems with axial symmetry

1930 ◽  
Vol 126 (803) ◽  
pp. 592-602 ◽  
Keyword(s):  
Angular Velocity ◽  
Axial Symmetry ◽  
Second Order ◽  
Newtonian Potential ◽  
Static Distribution ◽  
Gravitational Equations

§1. In this paper we find solutions of Einstein’s gravitational equations G μν = 0 which give the field due to any static distribution of matter sym­metrical about an axis; in the later part of the paper an angular velocity about the axis is introduced. We take the ground form ds 2 = - e λ ( dx 2 + dr 2 ) - e -ρ r 2 d θ 2 + e ρ dt 2 , (1) where λ, ρ are functions of x and r . Further we take ρ to be the Newtonian potential of an auxiliary distribution of matter of density σ ( x, r ), the potential being calculated as though our co-ordinates were Euclidean. We find that it is then possible to determine λ, so that the equations G μν = 0 are exactly satisfied everywhere outside the auxiliary body. λ is nearly equal to —ρ, the quantity μ = λ + ρ being of the second order in terms of σ.

scholarly journals Nonlinear repulsive force between two solids with axial symmetry

2011 ◽  
Vol 83 (6) ◽  
Author(s):  
Diankang Sun ◽  
Chiara Daraio ◽  
Surajit Sen
Keyword(s):  
Axial Symmetry ◽  
Repulsive Force

Stability analysis of restricted non-static axial symmetry

2013 ◽  
Vol 2013 (11) ◽  
pp. 014-014 ◽  
Author(s):  
M Sharif ◽  
M. Zaeem Ul Haq Bhatti
Keyword(s):  
Stability Analysis ◽  
Axial Symmetry
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