CHANGE OF THE DYNAMICS OF THE SYSTEMS: DISSIPATIVE-NON-DISSIPATIVE TRANSITION
Dynamic phase transitions between non-dissipative and dissipative processes are discussed from different viewpoints. Mechanical examples are shown to illustrate the transition pointing out their realistic behavior. The phase transition is shown on a "stretched string on a rotating wheel" system. In the thermal energy transport an abstract scalar field has been introduced to generate a dynamical temperature and a covariant field equation to describe the heat propagation with finite speed-less
... inite speed-less than the speed of light-of action. It has been shown how this scalar field can be connected to the usual temperature (local equilibrium temperature) and the Fourier's heat conduction. Mathematically, Klein-Gordon equations with a "negative" mass term describe this spinodal instability. The dy-namical phase transition is in between these two kinds of-wave and non-wave-propagation, or with an other context, it is better to say, a dy-namical phase transition between a non-dissipative and a dissipative thermal process. It seems interesting that the thermal case may have an important role in the definition of a really dynamical temperature.