I. INTRODUCTION II. A COLLECTION OF ANOMALOUS DYNAMIC PROPERTIES OF HAPBs A. Property (i): Insensitivity of segmental dynamics to blend composition at short times B. Property (ii): Crossover of Rouse dynamics at

*t*

_{ c }= 1 ns to non-Rouse dynamics with correlation function, in unentangled blend C. Property (iii): Relaxation time of the non-Rouse relaxation has (

*M*)

^{2/}

^{ β }

^{(T)}-dependence D. Property (iv): Chain diffusion and relaxation have stronger

*T*-dependence than deuteron-NMR segmental

*α*-relaxation time E. Property (v): Coexistence of segmental

*α*-relaxation and Johari-Goldstein (JG)

*β*-relaxation of the fast component F. Property (vi): At a fixed value of , the separation between and

*τ*

_{ αf }of PI increases on decreasing the PI content in blends with PtBS G. Property (vii): Temperature-pressure superposition of segmental relaxation of the fast component at constant

*τ*

_{ αf }H. Property (viii):

*τ*

_{JG}of the fast component changes

*T*-dependence on crossing

*T*

_{ gf }(

*P*) at about the same value independent of pressure P I. Property (ix): Breakdown of time-temperature superposition of the segmental relaxation of the fast component III. A UNIFIED EXPLANATION OF PROPERTIES (i)–(ix) FROM THE COUPLING MODEL A. Explanation of property (i): Insensitivity of segmental dynamics to blend composition at short times 1. Support from quasielastic neutron scattering experiments 2. Property (i) does not persist at lower temperatures and longer

*τ*

_{ αf }(

*T*) of the PEO component B. Explanation of property (ii): Crossover of Rouse dynamics at

*t*

_{ c }= 1 ns to non-Rouse dynamics with correlation function, in unentangled blend 1. The chain dynamics of the fast component shows behavior similar to property (i) for the segmental relaxation when

*τ*

_{ R }(

*T*,

*Q*) is close to

*t*

_{ c }= 2 ns, but not when

*τ*

_{ R }(

*T*,

*Q*) ≫

*t*

_{ c }C. Explanation of property (iii): Relaxation time of the non-Rouse relaxation has (

*M*)

^{2/}

^{ β }

^{(T)}-dependence D. Explanation of property (iv): Chain diffusion and relaxation have stronger

*T*-dependence than deuteron-NMR segmental

*α*-relaxation time 1. Chain dynamics vs. high frequency deuteron NMR segmental dynamics of PEO in blends with PMMA 2. Chain dynamics vs. segmental dynamics of PI in blends with PtBS from dielectric relaxation E. Explanation of property (v): Coexistence of segmental

*α*-relaxation and Johari-Goldstein

*β*-relaxation of the fast component 1. Opposite behavior of the slower component F. Explanation of property (vi): At a fixed value of , the separation between and

*τ*

_{ αf }of PI increases on decreasing the PI content in blends with PtBS G. Explanation of property (vii): Temperature-pressure superposition of segmental relaxation of the fast component at constant

*τ*

_{ αf }H. Explanation of property (viii):

*τ*

_{JG}of the fast component changes

*T*-dependence on crossing

*T*

_{ gf }(

*P*) at about the same value independent of pressure

*P*I. Explanation of property (ix): Breakdown of time-temperature superposition of the segmental relaxation of the fast component IV. SUMMARY AND CONCLUSION

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