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Prog. Theor. Phys. Supplement No. 184 (2010) pp. 211-221
Higher-Order Singularities without Glass-Glass Transitions
— An Avoided Glass-Glass Transition
—
Matthias Sperl*
Institut für Materialphysik im Weltraum,
Deutsches Zentrum für Luft- und Raumfahrt,
51170 Köln, Germany
Abstract:
Within the framework of mode-coupling theory, the glass-transition
scenario is investigated for a system of particles interacting with a
hard-core repulsion and an additional square-shoulder soft core at larger
distances. The static structure is calculated from the potential in
Percus-Yevick approximation. For certain widths of the shoulder, the
exponent parameter λ along the glass-transition line shows a
double peak. At both peaks, λ can reach unity indicating the
existence of higher-order glass-transition singularities. It is shown that
these higher-order singularities originate from a line of avoided
glass-glass transitions.
URL :
http://ptp.ipap.jp/link?PTPS/184/211/
DOI : 10.1143/PTPS.184.211
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