TITLE:
The common physical origin of the glass transition, macromolecular entanglement and turbulence
AUTHORS:
Jia-lin WU
KEYWORDS:
Glass Transition; Mosaic Stricture; Reptation; Coherent Structure; Random Transition
JOURNAL NAME:
Natural Science,
Vol.3 No.7,
July
25,
2011
ABSTRACT: The interface excitation (IE) on intermolecular interface is a common concept connecting the glass transition (GT), macromolecular entan-glement (ME), and turbulence. IE has an addi-tional repulsion energy and extra vacancy vol-ume that result from the two neighboring molecules with antiparallel delocalization all in, e.g., the z-axial ground state of single-molecule instantaneous polarized dipole at GT. IEs only occur in the 8 orders of 2D IE loop-flows on lo-cal x-y projection plane. Theoretical proof of the 3.4 power law of ME viscosity reveals that (i) the delocalization mode of GT and solid-liquid tran-sition is solitary wave; wave- particle duality of solitary wave is ascribed to the equal probabili-ties between appearing and disappearing of IE loop-flow in inverse cascade and cascade mode; (ii) macromolecular chain-length in ME motion corresponds to Reynolds number in hydrody-namics; both the ME motion and the turbulent flow obey the same scale law. IE is not the ex-citation of dipole energy level at GT. However, when IEs are associated with the energy levels of instantaneous polarized dipole, we predict that the coherent structure formed by multilevel 8 orders of 2D IE loop-flows is the physical ori-gin of turbulence based on the universal ran-dom delocalization transition theory.