Field theoretical prediction of a property of the tropical cyclone
Abstract
The large scale atmospheric vortices (tropical cyclones, tornadoes) are complex physical systems combining thermodynamics and fluidmechanical processes. The late phase of the evolution towards stationarity consists of the vorticity concentration, a well known tendency to selforganization , an universal property of the twodimensional fluids. It may then be expected that the stationary state of the tropical cyclone has the same nature as the vortices of many other systems in nature: ideal (Euler) fluids, superconductors, BoseEinsetin condensate, cosmic strings, etc. Indeed it was found that there is a description of the atmospheric vortex in terms of a classical field theory. It is compatible with the more conventional treatment based on conservation laws, but the field theoretical model reveals properties that are almost inaccessible to the conventional formulation: it identifies the stationary states as being close to selfduality. This is of highest importance: the selfduality is known to be the origin of all coherent structures known in natural systems. Therefore the field theoretical (FT) formulation finds that the cuasicoherent form of the atmospheric vortex (tropical cyclone) at stationarity is an expression of this particular property. In the present work we examine a strong property of the tropical cyclone, which arises in the FT formulation in a natural way: the equality of the masses of the particles associated to the matter field and respectively to the gauge field in the FT model is translated into the equality between the maximum radial extension of the tropical cyclone and the Rossby radius. For the cases where the FT model is a good approximation we calculate characteristic quantities of the tropical cyclone and find good comparison with observational data.
 Publication:

Nonlinear Processes in Geophysics Discussions
 Pub Date:
 January 2014
 DOI:
 10.5194/npgd112014
 arXiv:
 arXiv:1310.2750
 Bibcode:
 2014NPGD....1....1S
 Keywords:

 Physics  Atmospheric and Oceanic Physics;
 Physics  Fluid Dynamics
 EPrint:
 Latex + bibtex 29 pages includes 11 eps figures. This version includes extensive explanations