New Physics: Sae Mulli, DOI: 10.3938/NPSM.64.819 Dynamic Scaling Analysis of Critical Behaviors in Nonequilibrium Processes

We present a method for analyzing the critical behaviors systematically in nonequilibrium pro-cesses by using dynamic scaling, where we extend the well-known finite-size scaling (FSS) theory for the time evolution of major physical quantities that can indicate either a phase transition or some scaling property. Particularly, we discuss two cases: one is the one-dimensional (1D) thin film growth by vapor deposition polymerization (VDP), and the other is the synchronization of globally-coupled oscillators. Using a dynamic scaling analysis, we show that the universality issue of critical behaviors in nonequilibrium processes can be investigated even though the system is neither in the steady-state limit nor in the thermodynamic limit. Finally, in the context of this extended FSS analysis, we compare the VDP growth with the modified 1D Kardar Parisi-Zhang-type growth and classify the characteristics of synchronization transitions with various setups