A simplified, numerically verified model for the global plasma reaction on a local cooling

An analytical model for heat losses along a magnetic surface to its small region cooled down abruptly to a very low temperature is deduced by applying a principle of minimum entropy production and verified by comparing with the results obtained by solving non-stationary two-dimensional heat conduction equation numerically. The model is elaborated further by taking into account heat flux limit and the plasma density modification due to the particle convection along the magnetic surface, triggered by the plasma pressure imbalance arising by the local cooling