Soliton theory plays an important role in nonlinear physics.The elastic interaction among solitons is oneof the most important properties for integrable systems.In this Letter, an elastic vortex interaction model is p...Soliton theory plays an important role in nonlinear physics.The elastic interaction among solitons is oneof the most important properties for integrable systems.In this Letter, an elastic vortex interaction model is proposed.It is found that the momenta, vortex momenta and the energies of every one vortex and the interaction energies of everytwo vortices are conserved.展开更多
It has been more than one hundred years for the study on vortex structure,which is a very important flow structure in the fluid mechanics.Recently,the interaction between vortex ring and solid wall has attracted more ...It has been more than one hundred years for the study on vortex structure,which is a very important flow structure in the fluid mechanics.Recently,the interaction between vortex ring and solid wall has attracted more and more attentions,for not only it is a very common phenomenon in the engineering,but also it could benefit the understanding of the mechanism of interaction between the vortex and the boundary layer.The interaction between the vortex ring and the wall is reviewed in this paper,including the evolution of vortex ring,the mechanics of vortex ring azimuthal instabilities,the achievements of synthetic vortex ring impinging onto the solid wall,its potential application to heat transfer,and the influence of vortex ring compression.Besides,the latest results of vortex ring impinging onto porous wall are presented,and the future possible investigation direction on this issue is suggested.展开更多
Motivated by the recent experiments realized in a fiat-bottomed optical trap [Science 347 （2015） 167; Nat. Commun. 6 （2015） 6162], we study the ground state of polar-core spin vortex of quasi-2D spin-2 condensate ...Motivated by the recent experiments realized in a fiat-bottomed optical trap [Science 347 （2015） 167; Nat. Commun. 6 （2015） 6162], we study the ground state of polar-core spin vortex of quasi-2D spin-2 condensate in a homogeneous trap plus a weak magnetic field. The exact spatial distribution of local spin is obtained and the vortex core are observed to decrease with the growth of the effective spin-spin interaction. For the larger effective spin-spin interaction, the spatial distribution of spin magnitude in spin-2 condensate we obtained agrees well with that of spin-1 condensate in a homogeneous trap, where a polar-core spin vortex was schematically demonstrated as a fully-magnetized planar spin texture with a zero-spin core. The effective spin-spin interaction is proportional to both the bare spin-spin interaction and the radius of the homogeneous trap, simultaneously. Thus the polar-core spin vortex we obtained can be easily controlled by the radius of the trap.展开更多
基金Supported by the National Natural Science Foundation of China under Grant No.10735030 the National Basic Research Programs of China (973 Programs) under Grant Nos.2007CB814800 and 2005CB422301the PCSIRT (IRT0734)
文摘Soliton theory plays an important role in nonlinear physics.The elastic interaction among solitons is oneof the most important properties for integrable systems.In this Letter, an elastic vortex interaction model is proposed.It is found that the momenta, vortex momenta and the energies of every one vortex and the interaction energies of everytwo vortices are conserved.
基金supported by the National Natural Science Foundation of China(Grant No.10832001)
文摘It has been more than one hundred years for the study on vortex structure,which is a very important flow structure in the fluid mechanics.Recently,the interaction between vortex ring and solid wall has attracted more and more attentions,for not only it is a very common phenomenon in the engineering,but also it could benefit the understanding of the mechanism of interaction between the vortex and the boundary layer.The interaction between the vortex ring and the wall is reviewed in this paper,including the evolution of vortex ring,the mechanics of vortex ring azimuthal instabilities,the achievements of synthetic vortex ring impinging onto the solid wall,its potential application to heat transfer,and the influence of vortex ring compression.Besides,the latest results of vortex ring impinging onto porous wall are presented,and the future possible investigation direction on this issue is suggested.
基金Supported by the National Natural Science Foundation of China under Grant No.11274095the Key Scientific Research Project of Henan Province of China under Grant No.16A140011the High Performance Computing Center of Henan Normal University
文摘Motivated by the recent experiments realized in a fiat-bottomed optical trap [Science 347 （2015） 167; Nat. Commun. 6 （2015） 6162], we study the ground state of polar-core spin vortex of quasi-2D spin-2 condensate in a homogeneous trap plus a weak magnetic field. The exact spatial distribution of local spin is obtained and the vortex core are observed to decrease with the growth of the effective spin-spin interaction. For the larger effective spin-spin interaction, the spatial distribution of spin magnitude in spin-2 condensate we obtained agrees well with that of spin-1 condensate in a homogeneous trap, where a polar-core spin vortex was schematically demonstrated as a fully-magnetized planar spin texture with a zero-spin core. The effective spin-spin interaction is proportional to both the bare spin-spin interaction and the radius of the homogeneous trap, simultaneously. Thus the polar-core spin vortex we obtained can be easily controlled by the radius of the trap.
