We present a simplified model of the atmosphere terrestrial planet as an open two-dimensional system described by ideal gas with velocity [Formula: see text], density ρ, and temperature T fields. Starting Chern–Simons equations for free inviscid fluid, external effects radiation exchange matter strata, well diffusion dissipation, are included. The resulting dynamics is governed set nonlinear di...

We consider the extended Hubbard model on a two-dimensional square lattice at half-filling. The is investigated using strong coupling diagram technique. sum infinite series of ladder diagrams allowing for full-scale charge and spin fluctuations actual short-range antiferromagnetic order nonzero temperatures. In agreement with earlier results, we find first-order phase transition in subsystem oc...