In macromolecular self-avoiding random walk, movement of each particle accompanies an instantaneous spin system with De Gennes n = 0 that provides extra energy, vacancy volume and relaxation time needed for particles co-movement. Using these additional spin systems not only directly yields the same Brownian motion mode in glass transition (GT) and reptation, but also proves that the entangled chain length corresponds to the Reynolds number in hydrodynamics and the diffusion mode of entangled chains, from frozen glass state to melt liquid state, is nanoscale size direction solitary wave with transverse ripplon-like softwave, that is the order parameter of GT. GT serves as an inspiration and continues to serve as the paradigm in the random delocalization transitions from disorder to more disorder until turbulence.
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