Interacting Particle Lattice Systems: Some Recent Results on Nonequilibrium Steady States and Phase Transitions

This is a very short description of results in a series of studies of phase position in Ising-like or in~rac~g particle lattice systems which are very convenient for computational purposes. The condition of detailed balance does not hold in general due to the presence of either conflicting kinetics or driving dissipative fields. The systems exhibit interesting behaviour that may sometimes correspond to natural situations, e.g., they model ideal steady nonequilibri~ states in complex systems.