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Excess wing physics and nearly constant loss in glasses
Rudolf Hilfer

Last modified: 2023-06-29


Excess wings and nearly constant loss are almost universal

nonequilibrium phenomena in glass formers.  Both lack an accepted

theoretical foundation.  A model-free and unified theoretical

description for these phenomena is presented that encompasses also

addition fast beta-processes, emergent Debye peaks, and the relaxation

strength of the boson peak [1].  The theory is model-free in the same

way as the classical Debye theory for orientational polarisation.  It

is based on generalizing time flow from translation semigroups to

composite time translation-convolution semigroups.  Composite

translation-convolution fits have less parameters than traditional

fits.  They need only one dynamic scaling exponent, while four are

needed in Havriliak-Negami fits.  For glycerol the single dynamic

exponent in the translation-convolution fit is found to be



[1] R. Hilfer, J. Stat. Mech. (2019) 104007