Statistical mechanics of two dimensional tilings

Statistical mechanics of two-dimensional turbulence

A statistical mechanical description is proposed for two-dimensional inviscid fluid turbulence. Using this description, we make predictions for turbulent flow in a rapidly rotating laboratory annulus. Measurements on this system reveal coherent vortices in a mean zonal flow. The flow is anisotropic and inhomogeneous but has low dissipation and forcing. In statistical mechanics two crucial requi...

Statistical mechanics of two dimensional vesicles

We have used a q-space method for calculating thermodynamic quantities of a twodimensional vesicle introduced by Ostrowsky and Peyraud. This method has been used to calculate the radius of gyration, the area, and the shape of vesicles as a function of perimeter length £ and Helfrich curvature parameter K. It is found, in agreement with the hypothesis of Fisher, that all thermodynamic quantities...

Statistical Mechanics of Two-dimensional Foams

The methods of statistical mechanics are applied to two-dimensional foams under macroscopic agitation. A new variable the total cell curvature is introduced, which plays the role of energy in conventional statistical thermodynamics. The probability distribution of the number of sides for a cell of given area is derived. This expression allows to correlate the distribution of sides (“topological...

Statistical mechanics of organized structures in two-dimensional magnetofluid turbulence

Nonextensive statistical mechanics for rotating quasi-two-dimensional turbulence

We have conducted experiments on an asymmetrically forced quasi-two-dimensional turbulent flow in a rapidly rotating annulus. Assuming conservation of potential enstrophy and energy, we maximize a nonextensive entropy function to obtain the azimuthally averaged vorticity as a function of radial position. The predicted vorticity profile is in good accord with the observations. A nonextensive for...