Dynamic phase transition theory

Thermodynamic conventions suffer from describing dynamical distinctions, especially when the structural and energetic changes induced by rare events are insignificant. By using ensemble theory in trajectory space, we present a statistical approach to address this problem. Rather than spatial particle-particle interaction which dominates thermodynamics, temporal correlation of dynamics. The zeros dynamic partition function mark phase transitions space-time, i.e., transition (DPT), as Yang Lee formulate traditional transitions, hence determine phases on both sides zeros. Analogous role temperature (pressure) thermal (mechanical) potential, interpret controlling variable DPT, field, potential. These findings offer possibility towards unified picture transition.