Ic. Halalay, A MODE-COUPLING THEORY CATASTROPHE SCENARIO DESCRIPTION OF RELAXATIONS IN SEMICRYSTALLINE NYLONS, Journal of physics. Condensed matter, 8(34), 1996, pp. 6157-6173
In the conception of mode-coupling theory the liquid-glass transition
is due to topological singularities (mathematical catastrophes) in a s
ystem's parameter space. It is shown that previously published dielect
ric relaxation data for a number of semicrystalline polymers (polyalan
ine, polyglycine, nylon 3 and nylon 4) exhibit the characteristic sign
atures for an A(4)-singularity: inflection points, linear regions in l
n(omega), l/f noise regions, as well as a double minimum. Besides agre
eing qualitatively with mode-coupling theory predictions, the data can
also be described quantitatively with the A(4)-scenario.