  A general system of particles (of one or several species) on a one
dimensional lattice with boundaries is considered. Two general behaviors of
such systems are investigated. The stationary behavior of the system, and the
dominant way of the relaxation of the system toward its stationary system.
Bases on the first behavior, static phase transitions (discontinuous changes in
the stationary profiles of the system) are studied. Based on the second
behavior, dynamical phase transitions (discontinuous changes in the
relaxation-times of the system) are studied. The investigation is specialized
on systems in which the evolution equation of one-point functions are closed
(the autonomous systems).
