| Abstract Scope |
Classical phase-transformation theory provides a useful language for describing how local stochastic events become macroscopic evolution. In JKMA theory this connection appears through extended volumes and survival probabilities; in Cahn’s time-cone construction, transformation occurs when a successful event lies within the causal space-time region able to reach a material point. Here, this logic is generalized from transformed volume to broader ceramic microstructure evolution, where evolution may require defect nucleation, interface reactions, depinning, sink activation, or martensitic plate/twin nucleation.These mechanisms are treated as local Arrhenius hazards evaluated over physical time, volume, strain, or swept-area windows. Large hazard numbers recover smooth, self-averaging kinetics; small hazard numbers produce intermittency, hysteresis, apparent arrest, and avalanche-like response. Brief examples from sintering and grain growth are connected to phase-transformation signatures such as acoustic-emission “noise,” strain bursts, and jerky martensitic or ferroelastic transformations, suggesting a continuum-scale route for coarse-graining thermal fluctuations through thermodynamically constrained hazards. |