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Abstract
The time-dependent susceptibility for the finite-size mean-field random orthogonal model is studied numerically for temperatures above the mode-coupling temperature. The results show that the imaginary part χ „(ν ) of the susceptibility obeys the scaling form proposed for glass-forming liquids with the peak frequency decreasesing as the temperature is lowered consistently with the Vogel–Fulcher law with a critical temperature remarkably close to the known critical temperature T c of the model where the configurational entropy vanishes.
Acknowledgements
We acknowledge F. Sciortino and P. Tartaglia for a critical reading of the manuscript. A.C. acknowledges support from the Istituto Nazionale per la Fisica della Materia, Statistical Mechanics and Complexity centre. F.R. has been supported by the Spanish Ministerio de Ciencia y Tecnología grant BFM2001-3525 and Generalitat de Catalunya. A.C. and F.R. have also benefited from the Acciones Integradas España–Italia HI2000-0087.