Vortices in SO(3) × Z(2) simulations

Impact of Z2 monopoles and vortices on the deconfinement transition

Suppressing Z2-monopoles shifts the line of deconfinement transitions in the coupling plane of the SU(2) lattice gauge theory with a mixed Villain form of action but it still continues to behave also like the bulk transition line. Separate deconfinement and bulk phase transitions are found on the same lattice, suggesting the two to be indeed coincident at higher adjoint couplings. Universality ...

Three Dimensional Compressible Hydrodynamic Simulations of Vortices in Disks

We carry out three-dimensional, high resolution (up to 10242×256) hydrodynamic simulations of the evolution of vortices in vertically unstratified Keplerian disks using the shearing sheet approximation. The transient amplification of incompressible, linear amplitude leading waves (which has been proposed as a possible route to nonlinear hydrodynamical turbulence in disks) is used as one test of...

The SU(2) × SU(2) chiral spin model in terms of SO(3) and Z2 variables: vortices and disorder

We rewrite the two-dimensional SU(2)× SU(2) chiral spin model in terms of SO(3) and Z2 degrees of freedom. The transformation, which is motivated by a similar representation of the corresponding lattice gauge theory in higher dimensions, exhibits the presence of dynamical SO(3) vortices and associated strings. We present arguments that (pairs of) SO(3) vortices with long strings play a crucial ...

Turbulence anisotropy and the SO3 description.

We study strongly turbulent windtunnel flows with controlled anisotropy. Using a recent formalism based on angular momentum and the irreducible representations of the SO(3) rotation group, we attempt to extract this anisotropy from the angular dependence of second-order structure functions. Our instrumentation allows a measurement of both the separation and the angle dependence of the structure...

Physical Simulation of Baroclinic Waves and Vortices in the Atmosphere