Clustering of point vortices in a periodic box
نویسندگان
چکیده
منابع مشابه
Point Process Analysis of Vortices in a Periodic Box
The motion of assemblies of point vortices in a periodic parallelogram can be described by the complex position zj(t) whose time derivative is given by the sum of the complex velocities induced by other vortices and the solid rotation centered at zj . A numerical simulation up to 100 vortices in a square periodic box is performed with various initial conditions, including single and double rows...
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A statistical approach to a problem of assemblies of point vortices (PVs) goes back to Onsager (1949). A state of negative temperature is considered to be related to clustering of vortices rotating in the same direction and the inverse energy cascade predicted in the two-dimensional Navier-Stokes (2D NS) turbulence. In many numerical simulations, PVs are bounded in a circular wall, since a velo...
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A motion of point vortices with periodic boundary conditions is studied by using Weierstrass zeta functions. Scattering and recoupling of a vortex pair by a third vortex becomes remarkable when the vortex density is large. Clustering of vortices with various initial conditions is quantitated by the L function used in point process theory in spatial ecology. It is shown that clustering persists ...
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We investigate correlation functions in a periodic box-ball system. For the second and the third nearest neighbor correlation functions, we give explicit formulae obtained by combinatorial methods. A recursion formula for a specific N -point functions is also presented.
متن کاملNonergodicity of point vortices
The motion of N point vortices in a two-dimensional fluid is a Hamiltonian dynamical system with a 2N-dimensional phase space. The equations of motion for point vortices in a twodimensional square doubly periodic domain are derived from those for an open domain. The Hamiltonian has three known constants of the motion and is thus believed to be nonintegrable for four or more vortices. Trajectori...
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ژورنال
عنوان ژورنال: PAMM
سال: 2007
ISSN: 1617-7061,1617-7061
DOI: 10.1002/pamm.200700107