Φ-mapping topological current theory and its application in cutting-edge physics

Title: Φ-mapping topological current theory and its application in cutting-edge physics Author: tension of Degree-granting units: Lanzhou University Keywords: superconductors: 4638, bifurcation point: 3840, Vortex: 3659, Vector field: 3348, limit points: 3081, Implicit function theorem: 2661, Evolution
Process: 2525, Equilibrium: 2507, Topology entry: 2267, scalar field: 2175 Abstract:
This paper made use of Professor Duan Neodymium Magnets Yishi the φ-mapping topological current theory, research the ferromagnetic spin-triplet superconductors, two-gap
Superconductor, with two complex scalar field Abelian Chern-Simons model, cosmic string model film world, as well as the steady-state vector field
Bifurcation process.
First, the use of φ-mapping topological current theory, we have come to a ferromagnetic spin-triplet superconductors allow unstable
The conclusion of the formation of magnetic monopoles. We define the topology of a magnetic monopole current, and it is proved that the topological magnetic monopole particles stream flow,
The flow of non-zero value means that the topological magnetic monopoles exist, and the corresponding flow topology is conserved topological charge corresponding to the magnetic monopole magnetic charge.
To make an unlimited volume of the ferromagnetic spin-triplet superconductor with finite energy magnetic monopole monopole anti-monopole can only exist in the form of
. In such a pair of magnetic monopoles, the magnetic monopole and anti-monopole will be Dirac string or a two-quantum vortex connection. That the Dirac
String belongs to SO (3) of the first homotopy group ordinary topology class. In addition, we also pointed out the limits of φ-mapping is precisely this point and the bifurcation point
These magnetic monopole space-time http://www.everbeenmagnet.com/en/products/110-sintered-neodymium-magnets point interaction.
Secondly, we derive the exact two-gap superconductors revised London equation, and with
The single-gap corresponds to the equation were compared. We show that two-gap superconductor in the vortex of soft-core vortex (or vortex called the nuclear row). Special
Do not, we discussed the finite energy vortex (class-Abrikosov vortex) topology, and found that they can be seen as baby
skyrmion in the third direction of extension of the product. In addition, we also pointed out that in the two-gap superconductors, the kink soliton is reversed two
Cycles smooth connection endpoint class-Abrikosov vortex. Finally, we briefly discuss about class-Abrikosov vortex and magnetic single
Great relationship.
Third, we introduce two complex scalar field with the Abelian Chern-Simons model, and the use of φ-
Flow theory, topology mapping, discussed the model self-dual vortex. For each scalar field, we analytically derive a band
With the exact topology of the non-trivial term equation. This topology is, in many literature items are overlooked. In addition, we also received by
Topology of two scalar field equation of their own items contact. We calculated the angular momentum of the vortex system, the result is a single scalar field
Vortex angular momentum of the promotion. We also calculated the system under different boundary conditions, magnetic flux. Further, we briefly discuss
The evolution of the vortex model. As the scroll and found the existence of molecules, the details of the model in the vortex evolution, than the corresponding
Single scalar field model in the vortex evolution is much more complex.
Fourth, the use of φ-mapping topological current theory, we
Abelian Higgs model has been the vortex structure. Thus the film world cosmic string system provides an effective way to describe. This
Kind of approach has the advantage described in the topology associated with the system of physical quantities can be analytically expressed, and the relationship between these quantities
Can be strictly proved. Therefore, the topological properties of cosmic strings for description purposes, this description is very important. In addition, the results
Combined U (1) gauge potential decomposition results, we use a different method again confirmed the previous literature, two conclusions.
Finally,
The use of φ-mapping topological current theory, we introduce a topology to describe the flow properties of vector field topology. In this description, the vector field
Equilibrium can be seen as the topological charge is the winding number, with the parameters change in the phase space moving particles. Based on this
A description, we qualitatively discuss a wide range of steady-state vector field bifurcation process, and found a general method to determine the points
Bifurcation curve of limit points and bifurcation points in the number and direction. Degree Year: 2009