The common physical origin of the glass transition, macromolecular entanglement and turbulence

Jia-lin WU

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DOI: 10.4236/ns.2011.37081                

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.

Keywords

Glass Transition; Mosaic Stricture; Reptation; Coherent Structure; Random Transition

Conflicts of Interest

The authors declare no conflicts of interest.

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