A zero external field solution for the Ising model with this configuration was published by Onsager.
The Orr-Sommerfeld equation analyzes the stability of parallel viscous flows by considering only perturbation of this type, a restriction that can be motivated by use of Squire's transformation. Geostrophic turbulence exemplifies this type of turbulence, in which enstrophy is conserved due to the absence of vortex stretching and energy goes to large scales. An incompressible fluid flow of this type can be described using a stream function. The quantum Hall effect was first observed in an electron gas of this type, and Pólya proved that the origin may never be revisited during a random walk on any lattice of higher order than this configuration. A zero external field solution for the Ising model with this configuration was published by Onsager. Unperturbed orbits adopt, for 10 points, what sort of configuration which can be described using polar coordinates or Cartesian x,y coordinates?
The Orr-Sommerfeld equation analyzes the stability of parallel viscous flows by considering only perturbation of this type, a restriction that can be motivated by use of Squire's transformation.
{two}-{dimensional} [or {planar}]