Fractal approach to the beta relaxation in supercooled liquids

Details Fractal approach to the beta relaxation in supercooled liquids Fractal approach to the beta relaxation in supercooled liquids

1998-10-08

arxiv.org/abs/cond-mat/9810102v1

Physics

Condensed Matter

Soft Condensed Matter

6 pages, no figures, submitted for publication

Scientific paper

In the present work we present a fractal model for the beta relaxation in supercooled liquids. The macroscopic dynamics is obtained by superposition of relaxation of independent mesoscopic regions (cages). Scaling relations and exponents are assumed for the distribution of cage sizes and for the size dependent response of the independent cages. In this way we obtain some scaling relations for the average response, in the time and frequency domain. For a particular choice of the scaling exponents we obtain the scaling relations predicted by the MCT. The comparison with recent light scattering data reveals that the scaling exponents of the distribution of cage sizes are universal but the single cage relaxation depends on the detailed material structure

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