Leapfrogging vortex rings in the Landau–Lifshitz equation
نویسندگان
چکیده
منابع مشابه
Scattering and leapfrogging of vortex rings in a superfluid
Scattering and leapfrogging of vortex rings in a superfluid R. M. Caplan,1 J. D. Talley,2 R. Carretero-González,2 and P. G. Kevrekidis3 1Predictive Science Inc., 9990 Mesa Rim Road Suite 170, San Diego, California 92121, USA 2Nonlinear Dynamical Systems Group, Computational Science Research Center, and Department of Mathematics and Statistics, San Diego State University, San Diego, California 9...
متن کاملVortex rings in ferromagnets
Vortex ring solutions are presented for the Landau-Lifshitz equation, which models the dynamics of a three-dimensional ferromagnet. The vortex rings propagate at constant speed along their symmetry axis and are characterized by the integer-valued Hopf charge. They are stable to axial perturbations, but it is demonstrated that an easy axis anisotropy results in an instability to perturbations wh...
متن کاملA New Technique for the Calculation of Colliding Vortex Rings
The present study involves a novel computational technique, regarding simultaneous use of the pseudo particle method, Poisson integral method and a special-purpose computer originally designed for molecular dynamics simulations (MDGRAPE-3). In the present calculations, the dynamics of two colliding vortex rings have been studied using the vortex method. The present acceleration technique allows...
متن کاملVortex Rings Pinning for the Gross-pitaevskii Equation in Three Dimensional Space
We construct traveling wave solutions possessing multiple stationary vortex rings with neighboring interaction to the problem iût = ε 2 4 û + ( Ṽ − |û| ) û, û ∈ H(R), where the unknown function û is defined as û : R3 ×R→ C, ε is a small positive parameter and Ṽ is a smooth potential. We first consider the case for two rings lying the same plane in a such way that they have interaction in the no...
متن کاملMonopole-antimonopole and Vortex Rings
The SU(2) Yang-Mills-Higgs theory supports the existence of monopoles, antimonopoles, and vortex rings. In this paper, we would like to present new exact static antimonopole-monopole-antimonopole (A-M-A) configurations. The net magnetic charge of these configurations is always negative one, whilst the net magnetic charge at the origin is always positive one for all positive integer values of th...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Nonlinearity
سال: 2014
ISSN: 0951-7715,1361-6544
DOI: 10.1088/0951-7715/27/9/2095