Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
1999-05-31
J. Non-Cryst. Solids 307 - 310 (2002) 215 - 224
Physics
Condensed Matter
Disordered Systems and Neural Networks
4 pages, 3 figures Replaced version, corrected some minor misprint and a figure
Scientific paper
Within the framework of the effective potential theory of the structural glass transition, we calculate for the p-spin model a static nonlinear susceptibility related to a four-point density correlation function, and show that it grows and diverges in mean field with exponent $\gamma=1/2$ as the mode coupling critical temperature T_c is approached from below. When T_c is approached from above, we calculate within the mode coupling framework a dynamic nonlinear susceptibility and show that there is a characteristic time where the susceptibility is a maximum, and that this time grows with decreasing T. We find that this susceptibility diverges as T_c is approached from above, and has key features in common with the ``displacement-displacement susceptibility'' recently introduced to measure correlated particle motion in simulations of glass-forming liquids.
Donati Claudio
Franz Silvio
Glotzer Sharon C.
Parisi Giorgio
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