The dipole dynamical system

Pages: 692 - 699, Issue Special, August 2005

 Abstract        Full Text (126.0K)              

P.K. Newton - Department of Aerospace & Mechanical Engineering and Department of Mathematics, University of Southern California, Los Angeles, CA 90089-1191, United States (email)

Abstract: A dynamical system governing the collective interaction of N point-vortexdipoles is derived.Each dipole has an inherent orientation $\psi $ and generates a velocity field that decayslike $O(\mu /2 \pi r^2)$ where $ \mu $ is the dipole strength and$r$ is the distance from the dipole.The system of N-complex ordinary differentialequations plus N-real ordinary differentialequations for the dipole positions and orientationsare derived based on theassumption that each dipole moves with and tries to align itselfwith the local fluid velocity field.

Keywords:  Dipole gas; Two-dimensional turbulence models; Nonequilibrium processes; Two-component BECs.
Mathematics Subject Classification:  76B47; 76F20; 76M28.

Received: September 2004;      Revised: March 2005;      Published: September 2005.