2012/03/07 by Ladieu, François, Brun, Coralie, L'Hôte, Denis
#FOS: Physical sciences #Soft Condensed Matter (cond-mat.soft) #Statistical Mechanics (cond-mat.stat-mech)
paper · doi:10.48550/arxiv.1203.1516
The dielectric response of supercooled liquids is phenomenologically modeled by a set of Asymmetric Double Wells (ADW), where each ADW contains a dynamical heterogeneity of Ncorr molecules. We find that the linear macroscopic susceptibility χ1 does not depend on Ncorr contrary to all higher order susceptibilities χ2k+1. We show that χ2k+1 is proportional to the kth moment of Ncorr, which could pave the way for new experiments on glass transition. In particular, as predicted by Bouchaud and Biroli on general grounds [Phys. Rev. B, \bf 72, 064204 (2005)], we find that χ3 is proportional to the average value of Ncorr. We fully calculate χ3 and, with plausible values of few parameters our model accounts for the salient features of the experimental behavior of χ3 of supercooled glycerol.