Motion of vortex lines in nonlinear wave mechanics

Motion of vortex lines in nonlinear wave mechanics

Iwo Bialynicki-Birula* and Zofia Bialynicka-Birula Center for Theoretical Physics, Al. Lotników 32/46, 02-668 Warsaw, Poland and Institute of Theoretical Physics, Warsaw University, Hoża 69, 00-681, Warsaw, Poland Institute of Physics, Polish Academy of Sciences, Al. Lotników 32/46, 02-668 Warsaw, Poland and College of Science, Al. Lotników 32/46, 02-668 Warsaw, Poland ~Received 26 July 2001; p...

Motion of vortex lines in quantum mechanics

Iwo Bialynicki-Birula,* Zofia Bialynicka-Birula, and Cezary Śliwa Center for Theoretical Physics, Al. Lotników 32/46, 02-668 Warsaw, Poland Institute of Theoretical Physics, Warsaw University, Hoża 69, 00-681 Warsaw, Poland Institute of Physics, Al. Lotników 32/46, 02-668 Warsaw, Poland College of Science, Al. Lotników 32/46, 02-668 Warsaw, Poland ~Received 1 June 1999; published 16 February 2000!

Statistical mechanics of vortex lines

Statistical mechanics of three-dimensional flows of an ideal incompressible fluid is considered. An ideal fluid differs from the usual Hamiltonian systems of statistical mechanics by possessing an infinite number of integrals of motion that are circulations of velocity over closed fluid contours. To reduce the problem to a standard one, the governing equations should be written in a Hamiltonian...

On Statistical Mechanics of Vortex Lines

An ensemble of a large number of vortex lines in cylindrical bounded domain is being considered. A system of equations determining the statistical characteristics of vortex line motion is derived from the assumption that this motion is ergodic and vortex lines are sufficiently smooth. The smoothness of vortex lines is characterized by vortex diffusivity. Both cases of finite and infinite vortex...

Nonlinear Wave Motion : Complexity