Statistical description of coalescing magnetic islands via magnetic reconnection

The physical picture of interacting magnetic islands provides a useful paradigm for certain plasma dynamics in variety environments, such as the solar corona, heliosheath, and Earth's magnetosphere. In this work, we derive an island kinetic equation to describe evolution distribution function (in area flux islands) subject collisional integral designed account role reconnection during mergers. This is used study inverse transfer energy through coalescence 2D. We solve our numerically three different types initial distribution: delta-distribution, Gaussian power-law distribution. time several key quantities found agree well with analytical predictions: decays $\tilde t^{-1}$, number decreases averaged grows t$, where t$ normalized characteristic scale islands. General properties spectrum are also studied.