Statistical mechanics of two-dimensional point vortices: relaxation equations and strong mixing limit
نویسندگان
چکیده
منابع مشابه
Statistical mechanics of strong and weak point vortices in a cylinder
The motion of 100 point vortices in a circular cylinder is simulated numerically and compared with theoretical predictions based on statistical mechanics. The novel aspect considered here is that the vortices have greatly different circulation strengths. Specifically, there are 4 strong vortices and 96 weak vortices, the net circulation in either group is zero, and the strong circulations are f...
متن کاملThe strong relaxation limit of the multidimensional Euler equations
This paper is devoted to the analysis of global smooth solutions to the multidimensional isentropic Euler equations with stiff relaxation. We show that the asymptotic behavior of the global smooth solution is governed by the porous media equation as the relaxation time tends to zero. The results are proved by combining some classical energy estimates with the so-called Shizuta-Kawashima condition.
متن کاملThe strong relaxation limit of the multidimensional isothermal Euler equations
We construct global smooth solutions to the multidimensional isothermal Euler equations with a strong relaxation. When the relaxation time tends to zero, we show that the density converges towards the solution to the heat equation. AMS subject classification: 76N15, 35L65, 35L45.
متن کاملStatistical 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...
متن کاملStatistical 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...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: The European Physical Journal B
سال: 2014
ISSN: 1434-6028,1434-6036
DOI: 10.1140/epjb/e2014-40869-x