Nonlinear dielectric susceptibilities in supercooled liquids: a toy model

Details Nonlinear dielectric susceptibilities in supercooled liquids: a toy model Nonlinear dielectric susceptibilities in supercooled liquids: a toy model

2012-03-07

arxiv.org/abs/1203.1516v1

Physics

Condensed Matter

Soft Condensed Matter

13 pages, 5 figures

Scientific paper

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 $N_{corr}$ molecules. We find that the linear macroscopic susceptibility $\chi_1$ does not depend on $N_{corr}$ contrary to all higher order susceptibilities $\chi_{2k+1}$. We show that $\chi_{2k+1}$ is proportional to the $k^{th}$ moment of $N_{corr}$, 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 $\chi_3$ is proportional to the average value of $N_{corr}$. We fully calculate $\chi_3$ and, with plausible values of few parameters our model accounts for the salient features of the experimental behavior of $\chi_3$ of supercooled glycerol.

Affiliated with

Also associated with

No associations

Rating

Nonlinear dielectric susceptibilities in supercooled liquids: a toy model does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Nonlinear dielectric susceptibilities in supercooled liquids: a toy model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Nonlinear dielectric susceptibilities in supercooled liquids: a toy model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-394526